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Paper Citation Record · LEDGER

Physical geometry of the quasispherical Szekeres models

As of 15 August 2026, this Paper Citation Record lists 86 of 86 outbound references and 0 inbound Pith citation observations for arXiv:1908.02697.

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1908.02697 v3

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86 of 86 outbound references displayed

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Outbound references

Observation ca8379d9-ac3d-4697-a852-412ccf368cfc · outbound

This paper cites an unresolved cited work.

Physical geometry of the quasispherical Szekeres models Unresolved cited work

Reference 1

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Physical geometry of the quasispherical Szekeres models Unresolved cited work

Reference 2

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Observation d93f3cc8-063f-4e20-b417-e84ac5bd9fa7 · outbound

This paper cites When finished, the array will hold all of the information about the displacement and orientation of shells up to rmax.

Physical geometry of the quasispherical Szekeres models When finished, the array will hold all of the information about the displacement and orientation of shells up to rmax

Reference 3

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This paper cites (61) To maintain the form of the metric, we also transform the dipole functions, as (~P, ~Q,~S) = (P +p0,Q +q0,S ).

Physical geometry of the quasispherical Szekeres models (61) To maintain the form of the metric, we also transform the dipole functions, as (~P, ~Q,~S) = (P +p0,Q +q0,S )

Reference 4

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Observation d0c0347c-14f4-45d1-8b00-981e955455fe · outbound

This paper cites This is done by simply multiplying both projective co- ordinates and all three dipole functions by the same nonzero constant: (~p,~q) =µ(p,q ), (63) (~P, ~Q,~S) =µ(P,Q,S ).

Physical geometry of the quasispherical Szekeres models This is done by simply multiplying both projective co- ordinates and all three dipole functions by the same nonzero constant: (~p,~q) =µ(p,q ), (63) (~P, ~Q,~S) =µ(P,Q,S )

Reference 5

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This paper cites (66) This does affect the spherical coordinates, by ~φ = φ +ψ—a simple rotation about θ = 0 (with θ = π also fixed).

Physical geometry of the quasispherical Szekeres models (66) This does affect the spherical coordinates, by ~φ = φ +ψ—a simple rotation about θ = 0 (with θ = π also fixed)

Reference 6

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Observation 6c35b065-8e17-4986-a25b-f92ffc6fbee7 · outbound

This paper cites (68) This amounts to a reflection across the φ = π/4 plane.

Physical geometry of the quasispherical Szekeres models (68) This amounts to a reflection across the φ = π/4 plane

Reference 7

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Observation 8b132651-fac5-4f8d-983c-693bbfa8a605 · outbound

This paper cites This can cause problems for numeri- cal calculations passing near this axis, even though there is nothing physically special happening there.

Physical geometry of the quasispherical Szekeres models This can cause problems for numeri- cal calculations passing near this axis, even though there is nothing physically special happening there

Reference 8

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Observation 876124ce-9094-4b89-b49e-3cdc80bfe982 · outbound

This paper cites This kind of transformation is called a Haantjes transformation [70].

Physical geometry of the quasispherical Szekeres models This kind of transformation is called a Haantjes transformation [70]

Reference 9

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Observation a645f7ea-3ab1-46be-a847-df981185f703 · outbound

This paper cites We introduce axially symmetric Szek- eres anisotropies by making S a piecewise func- tion, withS′/S vanishing at allri (to ensure conti- nuity when we are done).

Physical geometry of the quasispherical Szekeres models We introduce axially symmetric Szek- eres anisotropies by making S a piecewise func- tion, withS′/S vanishing at allri (to ensure conti- nuity when we are done)

Reference 10

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Observation c276b57d-5f2d-49db-a19d-d509eaa7d13f · outbound

This paper cites To move the anisotropies to these randomly chosen angles, we apply the Haantjes transformation separately to each interval, using Eq.

Physical geometry of the quasispherical Szekeres models To move the anisotropies to these randomly chosen angles, we apply the Haantjes transformation separately to each interval, using Eq

Reference 11

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Observation 148c4c93-b606-438d-8794-d34092629779 · outbound

This paper cites To remedy this, we first address the discontinuities in S using a scaling transformation, Eq.

Physical geometry of the quasispherical Szekeres models To remedy this, we first address the discontinuities in S using a scaling transformation, Eq

Reference 12

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This paper cites near-parabolic.

Physical geometry of the quasispherical Szekeres models near-parabolic

Reference 13

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Observation eae4b30e-86ac-4c90-bde2-ff7f79cf689d · outbound

This paper cites Lema ˆıtre, Ann.

Physical geometry of the quasispherical Szekeres models Lema ˆıtre, Ann

Reference 14

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Physical geometry of the quasispherical Szekeres models Unresolved cited work

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Observation 82435866-8d6d-4fa6-90d0-b90d91b49547 · outbound

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Physical geometry of the quasispherical Szekeres models Bondi, Mon

Reference 16

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Observation 01502511-034a-4490-bde7-7be6c466578d · outbound

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Physical geometry of the quasispherical Szekeres models An inhomogeneous alternative to dark energy?

Reference 17

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Physical geometry of the quasispherical Szekeres models Alnes and M

Reference 18

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Observation 102741ae-dd7a-4011-9e48-3163f0c1b526 · outbound

This paper cites Nonlinear Structure Formation and "Apparent" Acceleration: an Investigation.

Physical geometry of the quasispherical Szekeres models Nonlinear Structure Formation and "Apparent" Acceleration: an Investigation

Reference 19

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Physical geometry of the quasispherical Szekeres models Bolejko, A

Reference 20

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This paper cites The Metric of the Cosmos from Luminosity and Age Data.

Physical geometry of the quasispherical Szekeres models The Metric of the Cosmos from Luminosity and Age Data

Reference 21

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Observation a82f6dbf-f4ad-488a-a85a-799c8a9d4b50 · outbound

This paper cites Ricci focusing, shearing, and the expansion rate in an almost homogeneous Universe.

Physical geometry of the quasispherical Szekeres models Ricci focusing, shearing, and the expansion rate in an almost homogeneous Universe

Reference 22

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This paper cites The kSZ effect as a test of general radial inhomogeneity in LTB cosmology.

Physical geometry of the quasispherical Szekeres models The kSZ effect as a test of general radial inhomogeneity in LTB cosmology

Reference 23

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This paper cites A (giant) void is not mandatory to explain away dark energy with a Lemaitre - Tolman model.

Physical geometry of the quasispherical Szekeres models A (giant) void is not mandatory to explain away dark energy with a Lemaitre - Tolman model

Reference 24

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Physical geometry of the quasispherical Szekeres models Perturbation Theory in Lemaitre-Tolman-Bondi Cosmology

Reference 25

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Physical geometry of the quasispherical Szekeres models The effect of inhomogeneous expansion on the supernova observations

Reference 26

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Physical geometry of the quasispherical Szekeres models Spatial and temporal tuning in void models for acceleration

Reference 27

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Physical geometry of the quasispherical Szekeres models Confronting Lemaitre-Tolman-Bondi models with Observational Cosmology

Reference 28

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This paper cites Looking the void in the eyes - the kSZ effect in LTB models.

Physical geometry of the quasispherical Szekeres models Looking the void in the eyes - the kSZ effect in LTB models

Reference 29

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Physical geometry of the quasispherical Szekeres models Hellaby and K

Reference 30

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Physical geometry of the quasispherical Szekeres models Hellaby and A

Reference 31

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Physical geometry of the quasispherical Szekeres models Krasi ´nski and C

Reference 32

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Observation a2f61a63-6d99-4d87-ad0a-0d2d3a01653b · outbound

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Physical geometry of the quasispherical Szekeres models Cosmological models and misunderstandings about them

Reference 33

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Observation c4c455f1-4239-424d-b80c-5dc1bfa02e5d · outbound

This paper cites CMB seen through random Swiss Cheese.

Physical geometry of the quasispherical Szekeres models CMB seen through random Swiss Cheese

Reference 34

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Observation 411d4389-973f-441d-95a1-1ec3563e606e · outbound

This paper cites On cosmological observables in a swiss-cheese universe.

Physical geometry of the quasispherical Szekeres models On cosmological observables in a swiss-cheese universe

Reference 35

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This paper cites Light-cone averages in a swiss-cheese universe.

Physical geometry of the quasispherical Szekeres models Light-cone averages in a swiss-cheese universe

Reference 36

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Observation 881d33b4-7d4b-4592-99f6-03b99c4839a0 · outbound

This paper cites Observational constraints on inhomogeneous cosmological models without dark energy.

Physical geometry of the quasispherical Szekeres models Observational constraints on inhomogeneous cosmological models without dark energy

Reference 37

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local_arxiv, observed 2026-08-14T14:55:59.235590Z

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Observation 5202827b-8446-43d1-aaa6-b59ce016a171 · outbound

This paper cites an unresolved cited work.

Physical geometry of the quasispherical Szekeres models Unresolved cited work

Reference 38

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Observation 6101a60a-039d-4dbf-9780-f4ed1c352de7 · outbound

This paper cites Precision cosmology defeats void models for acceleration.

Physical geometry of the quasispherical Szekeres models Precision cosmology defeats void models for acceleration

Reference 39

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local_arxiv, observed 2026-08-14T14:55:59.142441Z

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Observation a41abf73-d01c-42bd-a578-40a0475b961e · outbound

This paper cites Large Scale Inhomogeneity Versus Source Evolution -- Can We Distinguish Them Observationally?.

Physical geometry of the quasispherical Szekeres models Large Scale Inhomogeneity Versus Source Evolution -- Can We Distinguish Them Observationally?

Reference 40

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Observation 9c7efa96-7c86-4fcb-b117-dfc31d520209 · outbound

This paper cites Probing spatial homogeneity with LTB models: a detailed discussion.

Physical geometry of the quasispherical Szekeres models Probing spatial homogeneity with LTB models: a detailed discussion

Reference 41

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Observation 077aa986-b25a-4caf-b8ef-b6d5fd7e4dbe · outbound

This paper cites On light propagation in Swiss-Cheese cosmologies.

Physical geometry of the quasispherical Szekeres models On light propagation in Swiss-Cheese cosmologies

Reference 42

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local_arxiv, observed 2026-08-14T14:55:59.082545Z

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Observation 024c0ded-d496-4e68-8100-1add2f951248 · outbound

This paper cites Observational Constraint on Spherical Inhomogeneity with CMB and Local Hubble Parameter.

Physical geometry of the quasispherical Szekeres models Observational Constraint on Spherical Inhomogeneity with CMB and Local Hubble Parameter

Reference 43

Resolution
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Observation b4356250-f2a6-41b8-bcc8-20ebf6291528 · outbound

This paper cites Testing the Copernican principle by constraining spatial homogeneity.

Physical geometry of the quasispherical Szekeres models Testing the Copernican principle by constraining spatial homogeneity

Reference 44

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Observation 484ab927-2afa-4af7-8761-d35c54f3b244 · outbound

This paper cites Testing the local-void alternative to dark energy using galaxy pairs.

Physical geometry of the quasispherical Szekeres models Testing the local-void alternative to dark energy using galaxy pairs

Reference 45

Resolution
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local_arxiv, observed 2026-08-14T14:55:59.030155Z

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Observation a4bda9b4-0763-4544-abb0-140bbdb62827 · outbound

This paper cites CMB observations in LTB universes: Part I: Matching peak positions in the CMB spectrum.

Physical geometry of the quasispherical Szekeres models CMB observations in LTB universes: Part I: Matching peak positions in the CMB spectrum

Reference 46

Resolution
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Observation 9a94c7c9-5abe-49bf-89e0-3b57fc0711c0 · outbound

This paper cites Scalar Perturbations on Lemaitre-Tolman-Bondi Spacetimes.

Physical geometry of the quasispherical Szekeres models Scalar Perturbations on Lemaitre-Tolman-Bondi Spacetimes

Reference 47

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Observation 671c2a2d-410d-4ec9-b636-e06a06045368 · outbound

This paper cites Can decaying modes save void models for acceleration?.

Physical geometry of the quasispherical Szekeres models Can decaying modes save void models for acceleration?

Reference 48

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verified exact
local_arxiv, observed 2026-08-14T14:55:58.981904Z

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Observation 1ba6de42-0ff0-4964-b85d-790807c8fb11 · outbound

This paper cites Tension in the Void: Cosmic Rulers Strain Inhomogeneous Cosmologies.

Physical geometry of the quasispherical Szekeres models Tension in the Void: Cosmic Rulers Strain Inhomogeneous Cosmologies

Reference 49

Resolution
verified exact
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Observation a1576911-4b34-4821-bc84-7fdef5251439 · outbound

This paper cites Szekeres, Phys.

Physical geometry of the quasispherical Szekeres models Szekeres, Phys

Reference 50

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation c40b84a8-d47c-4f08-b2df-afc7b2b66498 · outbound

This paper cites an unresolved cited work.

Physical geometry of the quasispherical Szekeres models Unresolved cited work

Reference 51

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Observation db83d57c-f461-457b-bda5-d96c8127b855 · outbound

This paper cites Bolejko, Phys.

Physical geometry of the quasispherical Szekeres models Bolejko, Phys

Reference 52

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Observation 0f298d0c-7016-418a-9d10-6fb458b33fc7 · outbound

This paper cites Volume averaging in the quasispherical Szekeres model.

Physical geometry of the quasispherical Szekeres models Volume averaging in the quasispherical Szekeres model

Reference 53

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verified exact
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Observation f9bf49c1-16b4-4067-a47f-bd7beb68e9c1 · outbound

This paper cites The Szekeres Swiss Cheese model and the CMB observations.

Physical geometry of the quasispherical Szekeres models The Szekeres Swiss Cheese model and the CMB observations

Reference 54

Resolution
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Observation c53d3b46-1f86-4783-8781-423ce9e2fabd · outbound

This paper cites Szekeres Swiss-Cheese model and supernova observations.

Physical geometry of the quasispherical Szekeres models Szekeres Swiss-Cheese model and supernova observations

Reference 55

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verified exact
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Observation 47d923e0-7532-4e8a-aab8-ddc11d50ff1a · outbound

This paper cites Cosmic spherical void via coarse-graining and averaging non-spherical structures.

Physical geometry of the quasispherical Szekeres models Cosmic spherical void via coarse-graining and averaging non-spherical structures

Reference 56

Resolution
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Observation 6e137a38-699e-4d1c-b354-6bec00d1d92f · outbound

This paper cites CMB dipoles and other low-order multipoles in the quasispherical Szekeres model.

Physical geometry of the quasispherical Szekeres models CMB dipoles and other low-order multipoles in the quasispherical Szekeres model

Reference 57

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Observation f23949a6-e8ac-4071-b540-1b87d75db58a · outbound

This paper cites Studying the precision of ray tracing techniques with Szekeres models.

Physical geometry of the quasispherical Szekeres models Studying the precision of ray tracing techniques with Szekeres models

Reference 58

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Observation 616f449b-5c9e-40d7-af82-73625693b336 · outbound

This paper cites Light propagation in Swiss cheese models of random close-packed Szekeres structures: Effects of anisotropy and comparisons with perturbative results.

Physical geometry of the quasispherical Szekeres models Light propagation in Swiss cheese models of random close-packed Szekeres structures: Effects of anisotropy and comparisons with perturbative results

Reference 59

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Observation 1bd7b889-fd66-485f-bb33-ca655ff5bf1e · outbound

This paper cites Redshift and redshift-drift in $\Lambda = 0$ quasi-spherical Szekeres cosmological models and the effect of averaging.

Physical geometry of the quasispherical Szekeres models Redshift and redshift-drift in $\Lambda = 0$ quasi-spherical Szekeres cosmological models and the effect of averaging

Reference 60

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Observation 8185ed09-af7f-49a0-9b0d-d46315ca804b · outbound

This paper cites Effect of inhomogeneities on high precision measurements of cosmological distances.

Physical geometry of the quasispherical Szekeres models Effect of inhomogeneities on high precision measurements of cosmological distances

Reference 61

Resolution
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Observation 0637e26a-df55-43bd-a1f8-256befeb4c5a · outbound

This paper cites The effects of structure anisotropy on lensing observables in an exact general relativistic setting for precision cosmology.

Physical geometry of the quasispherical Szekeres models The effects of structure anisotropy on lensing observables in an exact general relativistic setting for precision cosmology

Reference 62

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Observation dbd363a6-1a7c-45bb-95b4-b9ee623599b7 · outbound

This paper cites Taylor expansion of luminosity distance in Szekeres cosmological models: Effects of local structures evolution on cosmographic parameters.

Physical geometry of the quasispherical Szekeres models Taylor expansion of luminosity distance in Szekeres cosmological models: Effects of local structures evolution on cosmographic parameters

Reference 63

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Observation e5a617f9-efe4-464d-92e4-8358cd01b492 · outbound

This paper cites Szekeres models: a covariant approach.

Physical geometry of the quasispherical Szekeres models Szekeres models: a covariant approach

Reference 64

Resolution
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Observation 91f17811-830b-4813-a6d7-523eb776aed7 · outbound

This paper cites Szekeres Universes with Homogeneous Scalar Fields.

Physical geometry of the quasispherical Szekeres models Szekeres Universes with Homogeneous Scalar Fields

Reference 65

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Observation 47f3ee1e-6358-48ba-916f-003dda00c7c7 · outbound

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Physical geometry of the quasispherical Szekeres models Unresolved cited work

Reference 66

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Observation cea1af36-3b55-4c43-83e9-c0f11eb3bfb9 · outbound

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Physical geometry of the quasispherical Szekeres models Unresolved cited work

Reference 67

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Observation 649357d7-a7d3-4a45-80a6-bc76d6d31017 · outbound

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Physical geometry of the quasispherical Szekeres models Unresolved cited work

Reference 68

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Observation 7f895696-70fd-4ca7-9297-70068a50d6b0 · outbound

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Physical geometry of the quasispherical Szekeres models Unresolved cited work

Reference 69

Resolution
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Observation 2555bc7e-824b-4f30-87c5-16175725508b · outbound

This paper cites Symmetry and Equivalence in Szekeres Models.

Physical geometry of the quasispherical Szekeres models Symmetry and Equivalence in Szekeres Models

Reference 70

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Observation c8487ad3-6da2-469f-9694-823c7f46ab63 · outbound

This paper cites Hellaby, Class.

Physical geometry of the quasispherical Szekeres models Hellaby, Class

Reference 71

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ed78bd4c-fab8-47ff-902b-998c61b0b382 · outbound

This paper cites Hellaby and A.

Physical geometry of the quasispherical Szekeres models Hellaby and A

Reference 72

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Observation d5a1598b-710b-4b8e-8c4a-22691f3bb9b2 · outbound

This paper cites Physical and Geometrical Interpretation of the epsilon <= 0 Szekeres Models.

Physical geometry of the quasispherical Szekeres models Physical and Geometrical Interpretation of the epsilon <= 0 Szekeres Models

Reference 73

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Observation 8fd0a9bf-921b-4a65-8688-4cb8d93de622 · outbound

This paper cites Modelling Inhomogeneity in the Universe.

Physical geometry of the quasispherical Szekeres models Modelling Inhomogeneity in the Universe

Reference 74

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Observation 929edee7-cb90-468d-a924-9b1669c81729 · outbound

This paper cites Frame Rotation in the Szekeres Spacetimes.

Physical geometry of the quasispherical Szekeres models Frame Rotation in the Szekeres Spacetimes

Reference 75

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Observation 2cfcce15-7201-49c2-bc0d-8c75ab0abe15 · outbound

This paper cites Constructing Realistic Szekeres Models from Initial and Final Data.

Physical geometry of the quasispherical Szekeres models Constructing Realistic Szekeres Models from Initial and Final Data

Reference 76

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Observation d3efad3f-835d-4fb9-8bab-b7a17f9a3921 · outbound

This paper cites A Unifying Theory of Dark Energy and Dark Matter: Negative Masses and Matter Creation within a Modified $\Lambda$CDM Framework.

Physical geometry of the quasispherical Szekeres models A Unifying Theory of Dark Energy and Dark Matter: Negative Masses and Matter Creation within a Modified $\Lambda$CDM Framework

Reference 77

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Observation 1edf398b-492d-4e43-84c2-eb75b7445866 · outbound

This paper cites Multiple non-spherical structures from the extrema of Szekeres scalars.

Physical geometry of the quasispherical Szekeres models Multiple non-spherical structures from the extrema of Szekeres scalars

Reference 78

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Observation 10f61e27-ee4e-44d6-9f99-9d4218626880 · outbound

This paper cites Is the shell-focusing singularity of Szekeres space-time visible?.

Physical geometry of the quasispherical Szekeres models Is the shell-focusing singularity of Szekeres space-time visible?

Reference 79

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Observation dd924e22-a182-450f-9207-c98284a4a405 · outbound

This paper cites Exact inhomogeneous models and the drift of light rays induced by nonsymmetric flow of the cosmic medium.

Physical geometry of the quasispherical Szekeres models Exact inhomogeneous models and the drift of light rays induced by nonsymmetric flow of the cosmic medium

Reference 80

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Observation ccb77e5c-71a0-4879-9edb-493b73560cec · outbound

This paper cites Bolejko, A.

Physical geometry of the quasispherical Szekeres models Bolejko, A

Reference 81

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Observation 5edfec48-e5bf-4401-a0df-b45664248ec1 · outbound

This paper cites Luminosity distance and redshift in the Szekeres inhomogeneous cosmological models.

Physical geometry of the quasispherical Szekeres models Luminosity distance and redshift in the Szekeres inhomogeneous cosmological models

Reference 82

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Observation 3a318229-0c53-4cd8-b236-a34ed7bcdde2 · outbound

This paper cites Plebanski, On Conformally Equivalent Riemannian Spaces.

Physical geometry of the quasispherical Szekeres models Plebanski, On Conformally Equivalent Riemannian Spaces

Reference 83

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Observation d52621c2-5c82-4041-8a65-48aa36801390 · outbound

This paper cites Plebanski and A.

Physical geometry of the quasispherical Szekeres models Plebanski and A

Reference 84

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Observation 48815cc8-b120-4e03-a5ae-f83ea5b83d2f · outbound

This paper cites Universal Density Profile for Cosmic Voids.

Physical geometry of the quasispherical Szekeres models Universal Density Profile for Cosmic Voids

Reference 85

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Observation 4e874d89-23ec-42a6-9ef0-679d746fd6f0 · outbound

This paper cites an unresolved cited work.

Physical geometry of the quasispherical Szekeres models Unresolved cited work

Reference 86

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