Paper Citation Record · LEDGER

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity?

As of 7 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 1 inbound Pith citation observation for arXiv:2605.26696.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2605.26696 v1

Coverage vector

measured 71 of 71 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T16:15:21.385322Z

measured 72 of 72 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T16:15:21.385322Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-06-29T16:23:39.603846Z

Reference resolution

71 of 71 outbound references displayed

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Outbound references

Observation 00170a12-f86f-461a-90a4-d971ffce2a35 · outbound

This paper cites A landmark in this story was G¨ odel’s rotating cosmological solution [1], which admits CTCs through every event.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? A landmark in this story was G¨ odel’s rotating cosmological solution [1], which admits CTCs through every event

Reference 1

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Observation 953d43d2-581d-4215-b0ec-e77196603ecd · outbound

This paper cites Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity?.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity?

Reference 2

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Observation 8093065f-37af-4278-ba23-4a854f4bc183 · outbound

This paper cites The cosmological constant Λ has been retained as an additive constant of the gravitational sector [21–23].

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? The cosmological constant Λ has been retained as an additive constant of the gravitational sector [21–23]

Reference 3

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Observation 3f0d2736-8b1b-4511-b7f2-18c4078307be · outbound

This paper cites The coordinates (T, x, y) are unrestricted, whilezis a cyclic coordinate identified throughz∼z+Lfor someL >0.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? The coordinates (T, x, y) are unrestricted, whilezis a cyclic coordinate identified throughz∼z+Lfor someL >0

Reference 4

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Observation c5ce2cd4-95a4-4dc9-bfbd-ab5eb9b3f19a · outbound

This paper cites The remaining coordinates (t, x, y) are unrestricted and the signature is (−,+,+,+).

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? The remaining coordinates (t, x, y) are unrestricted and the signature is (−,+,+,+)

Reference 5

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Observation e8494ac9-5eae-418a-959d-4951fb6be619 · outbound

This paper cites The chronology-violating re- gionsT > F(x, y) andt >0 survive the modification without any change in their geometric location.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? The chronology-violating re- gionsT > F(x, y) andt >0 survive the modification without any change in their geometric location

Reference 6

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Observation 4bdcab66-90f2-49b9-bdcf-70e079e3fd5c · outbound

This paper cites Fun- damental challenges in theoretical physics.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Fun- damental challenges in theoretical physics

Reference 7

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Observation b36ab2db-1507-430b-ba7c-6281b34c4e94 · outbound

This paper cites G¨ odel, Rev.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? G¨ odel, Rev

Reference 8

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Observation 0023fd68-b688-4808-819e-8bf9a99d5823 · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 9

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Observation bfacb706-0b1e-40a6-af98-b2ff8fea72f1 · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 10

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Observation 8b99f356-fe40-4ac9-bb4d-5aa541fd6e40 · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 11

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Observation f9cc2617-6298-4246-bb1c-a3315ea4a741 · outbound

This paper cites Alcubierre, Class.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Alcubierre, Class

Reference 12

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Observation 23dcf020-04a0-420e-91a0-9ae7aed96d1f · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 13

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Observation b31444f2-0707-4ec7-a366-63b48c0d1d73 · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 14

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Observation 726bf392-e200-4e13-bef5-bc627528c482 · outbound

This paper cites Ori, Phys.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Ori, Phys

Reference 15

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Observation 0780a2fc-4478-4066-be45-0554b34be600 · outbound

This paper cites Ahmed, J.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Ahmed, J

Reference 16

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Observation ef278b58-d75a-410d-ba86-27fb02d3293c · outbound

This paper cites Kim and K.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Kim and K

Reference 17

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Observation 3b1644ad-e1b2-416c-81a1-5d9d45bc2bd8 · outbound

This paper cites Visser, inThe Future of Theoretical Physics and Cos- mology, edited by G.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Visser, inThe Future of Theoretical Physics and Cos- mology, edited by G

Reference 18

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Observation 29620416-e26d-48ce-a87c-dae7d16ba35f · outbound

This paper cites The quantum physics of chronology protection.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? The quantum physics of chronology protection

Reference 19

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Observation eaa34232-56fd-4463-a590-34714ff873b1 · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 20

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Observation 6cceb762-2814-4b70-9a6f-19b2e1342351 · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

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Observation 2e67fbc2-9b02-4127-9348-2fe0881e35df · outbound

This paper cites Ori, Phys.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Ori, Phys

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

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Observation 866bb60d-8007-44e5-85a6-3592bbe6bc48 · outbound

This paper cites Curiel, Einstein Stud.13, 43 (2017).

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Curiel, Einstein Stud.13, 43 (2017)

Reference 23

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Observation 25362016-9278-4876-b1a1-7c2d65ea19c4 · outbound

This paper cites Visser and C.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Visser and C

Reference 24

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Observation 14f7ef99-bdd5-47ae-8510-afdb7b9a03c7 · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 25

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Observation 20ba1701-fb18-4049-98d2-549036a43091 · outbound

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 26

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Observation 60408c53-f61f-4529-9f8e-fb7395285866 · outbound

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 27

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Observation 1c495017-49e1-408d-ad83-ef9f3cac1512 · outbound

This paper cites De Felice and S.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? De Felice and S

Reference 28

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Observation e60865d3-488c-4669-bdc3-10daafef3b4b · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 29

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Observation 5296c3f2-3acd-4763-a539-b099b7c1222e · outbound

This paper cites Perlmutteret al., Astrophys.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Perlmutteret al., Astrophys

Reference 30

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Observation e554d7ce-d175-4ddd-aab8-b216840a0c83 · outbound

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Weinberg, Rev

Reference 31

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 32

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Observation 4922602e-8913-458c-ab88-e59cc6f5e520 · outbound

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Nojiri and S

Reference 33

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Capozziello and M

Reference 34

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Clifton, P

Reference 35

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This paper cites Santos, M.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Santos, M

Reference 36

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Harko, F

Reference 37

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This paper cites Haghani, T.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Haghani, T

Reference 38

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 39

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Observation 04502bf4-d1ee-4952-9c72-6abf37860652 · outbound

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Brans and R

Reference 40

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 41

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 42

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 43

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 44

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 45

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 46

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Observation 797f7d45-7fab-4a2c-a77b-dc37e4d22001 · outbound

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Furtado, T

Reference 47

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 48

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 49

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 50

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 51

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 52

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Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 53

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Observation 438d67b7-878a-4066-b459-a84fcbeb7c1c · outbound

This paper cites Deffayet, G.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Deffayet, G

Reference 54

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This paper cites Harko, P.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Harko, P

Reference 55

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

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Observation 37d05165-c235-47b5-b41c-8186989b89a4 · outbound

This paper cites Harko and F.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Harko and F

Reference 56

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4958da24-2660-4029-93a3-82676214e418 · outbound

This paper cites Bertolami, C.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Bertolami, C

Reference 57

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f915d39d-4d4b-425e-b94b-8877fc0c0d56 · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 58

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67e6859f-d765-47b5-a247-175c52986c9c · outbound

This paper cites Are There Closed Timelike Curves in $f(R,\mathcal{L}_m,\Phi,g^{\mu\nu}\nabla_\mu \Phi \nabla_\nu \Phi)$-Gravity?.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Are There Closed Timelike Curves in $f(R,\mathcal{L}_m,\Phi,g^{\mu\nu}\nabla_\mu \Phi \nabla_\nu \Phi)$-Gravity?

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-06-29T16:23:39.610737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5c0ebc87-098d-47d1-b7d4-eb6c3111329e · outbound

This paper cites Ahmed, ˙I.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Ahmed, ˙I

Reference 60

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ca6ddb8-24dd-493b-ab94-879f8eda4f98 · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 61

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5c3f504-e017-4a79-9653-11da3a9dbb31 · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 62

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f3b5d5c-91c1-4f08-8360-d2f9027d0c28 · outbound

This paper cites Li, Phys.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Li, Phys

Reference 63

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 889b1ec6-69b7-416a-b628-5e83936b86a8 · outbound

This paper cites Harko, T.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Harko, T

Reference 64

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23fc9cef-3e4a-4322-a459-4ba00428f395 · outbound

This paper cites Ahmed, ˙I.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Ahmed, ˙I

Reference 65

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c55f9658-d5f2-4517-8453-b996d3a35bd5 · outbound

This paper cites Ahmed, A.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Ahmed, A

Reference 66

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64686565-6b7c-4760-a91e-51013e7c5c35 · outbound

This paper cites Sucu and ˙I.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Sucu and ˙I

Reference 67

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5c8e810-45df-4be2-a3cc-8f1ae4502ae3 · outbound

This paper cites Ahmed, A.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Ahmed, A

Reference 68

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95937ca8-488b-447b-af45-ad3580e64020 · outbound

This paper cites Ahmed, A.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Ahmed, A

Reference 69

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a519f32b-4dc6-42aa-b7d9-a39e6e1d2ac8 · outbound

This paper cites Stephani, D.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Stephani, D

Reference 70

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fd17406-1d48-4b39-87fe-bc162a32acd7 · outbound

This paper cites an unresolved cited work.

Are Petrov type-N and D spacetimes admitting CTCs valid in $f(R,\mathcal{L}_m,\Phi,X)$ gravity? Unresolved cited work

Reference 71

Resolution: unresolved; no resolver link, observed 2026-06-29T16:15:21.385322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 953d43d2-581d-4215-b0ec-e77196603ecd · inbound