Paper Citation Record · LEDGER

Spatial anisotropies from long wavelength scalar and tensor modes

As of 12 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2412.15181.

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pith.paper-citation-record.v1
2412.15181 v2

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Outbound references

Observation 3938107a-c6dd-49b2-b7fa-1c135c2b44fa · outbound

This paper cites we eliminated the gradient through the coordinate trans- formation of the previous section.

Spatial anisotropies from long wavelength scalar and tensor modes we eliminated the gradient through the coordinate trans- formation of the previous section

Reference 1

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This paper cites The starting point is the metric in the ADM formalism 6 ds2 = −N 2dt2 +a2(t)hij(dxi +N idt)(dxj +N jdt), (A1) wherehij = (1+2 R)δij +γij.

Spatial anisotropies from long wavelength scalar and tensor modes The starting point is the metric in the ADM formalism 6 ds2 = −N 2dt2 +a2(t)hij(dxi +N idt)(dxj +N jdt), (A1) wherehij = (1+2 R)δij +γij

Reference 2

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Observation c874e4fe-ac9d-40a9-ae45-a61f12ab2588 · outbound

This paper cites Second, the gradient expansion also intro- duces anisotropic derivatives of R which do not appear in the metric above.

Spatial anisotropies from long wavelength scalar and tensor modes Second, the gradient expansion also intro- duces anisotropic derivatives of R which do not appear in the metric above

Reference 3

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Spatial anisotropies from long wavelength scalar and tensor modes Unresolved cited work

Reference 4

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Observation 3fffc09d-6e4c-4f42-b858-45398b0899d2 · outbound

This paper cites Planck 2015 results. XVI. Isotropy and statistics of the CMB.

Spatial anisotropies from long wavelength scalar and tensor modes Planck 2015 results. XVI. Isotropy and statistics of the CMB

Reference 5

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Observation 9f441993-6b89-4136-8a9b-449c0b371df8 · outbound

This paper cites For the closed k >0 case, the solution to this question can be found in [ 24].

Spatial anisotropies from long wavelength scalar and tensor modes For the closed k >0 case, the solution to this question can be found in [ 24]

Reference 6

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Observation 68f85add-cb90-45b9-82c6-21354d62d944 · outbound

This paper cites Is the Observable Universe Consistent with the Cosmological Principle?.

Spatial anisotropies from long wavelength scalar and tensor modes Is the Observable Universe Consistent with the Cosmological Principle?

Reference 7

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Observation 3dcbf262-f974-4947-a8c5-e1db6389d02d · outbound

This paper cites Beyond $\Lambda$CDM: Problems, solutions, and the road ahead.

Spatial anisotropies from long wavelength scalar and tensor modes Beyond $\Lambda$CDM: Problems, solutions, and the road ahead

Reference 8

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Observation 8ef1123d-4389-482a-8b21-4badbb273049 · outbound

This paper cites Late time anisotropy as an imprint of cosmological backreaction.

Spatial anisotropies from long wavelength scalar and tensor modes Late time anisotropy as an imprint of cosmological backreaction

Reference 9

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Observation 2a50bcf8-d933-41f4-988d-bad20f74f0c6 · outbound

This paper cites What is flat {\Lambda}CDM, and may we choose it?.

Spatial anisotropies from long wavelength scalar and tensor modes What is flat {\Lambda}CDM, and may we choose it?

Reference 10

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Observation d5bc79a5-22a1-4503-9174-09138070ee20 · outbound

This paper cites This is easily ﬁxed with a time transformation t ↦→t +ξ0 with ˙ξ0 = − ˙R H.

Spatial anisotropies from long wavelength scalar and tensor modes This is easily ﬁxed with a time transformation t ↦→t +ξ0 with ˙ξ0 = − ˙R H

Reference 11

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Observation 84ea7027-3a4d-4678-a5f9-217b2fd609cd · outbound

This paper cites Planck 2018 results. VI. Cosmological parameters.

Spatial anisotropies from long wavelength scalar and tensor modes Planck 2018 results. VI. Cosmological parameters

Reference 12

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Reference 13

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Observation e60b500f-27a1-44af-8658-b14254d10b91 · outbound

This paper cites The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory.

Spatial anisotropies from long wavelength scalar and tensor modes The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory

Reference 14

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Observation 5310ff57-d316-48f7-9dba-273611b89544 · outbound

This paper cites CMB Anomalies after Planck.

Spatial anisotropies from long wavelength scalar and tensor modes CMB Anomalies after Planck

Reference 15

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Observation 8ce4511a-007f-4dff-aa26-9f4e687a6e92 · outbound

This paper cites Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies.

Spatial anisotropies from long wavelength scalar and tensor modes Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

Reference 16

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Observation d04296db-a21a-4d9a-bf30-4f9405cda7b4 · outbound

This paper cites The cosmic variance of Omega.

Spatial anisotropies from long wavelength scalar and tensor modes The cosmic variance of Omega

Reference 17

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Observation bf7057ea-76d2-4017-b368-b1ed63a317d0 · outbound

This paper cites Spatial curvature endgame: Reaching the limit of curvature determination.

Spatial anisotropies from long wavelength scalar and tensor modes Spatial curvature endgame: Reaching the limit of curvature determination

Reference 18

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Observation befb3200-e0eb-41c1-81e8-68f79cb1208b · outbound

This paper cites Bianchi spacetimes as super-curvature modes around isotropic cosmologies.

Spatial anisotropies from long wavelength scalar and tensor modes Bianchi spacetimes as super-curvature modes around isotropic cosmologies

Reference 19

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Observation f6e32dfd-6e67-452a-82f2-4bd787f25e7b · outbound

This paper cites Back-Reaction of Cosmological Perturbations in the Infinite Wavelength Approximation.

Spatial anisotropies from long wavelength scalar and tensor modes Back-Reaction of Cosmological Perturbations in the Infinite Wavelength Approximation

Reference 20

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Observation c411a433-2fc9-4d84-9552-2b7e33c4696e · outbound

This paper cites Do Large-Scale Inhomogeneities Explain Away Dark Energy?.

Spatial anisotropies from long wavelength scalar and tensor modes Do Large-Scale Inhomogeneities Explain Away Dark Energy?

Reference 21

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Observation 29c76068-eaef-434e-adc9-f5c597aba60e · outbound

This paper cites Can superhorizon cosmological perturbations explain the acceleration of the universe?.

Spatial anisotropies from long wavelength scalar and tensor modes Can superhorizon cosmological perturbations explain the acceleration of the universe?

Reference 22

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Observation 11081750-858a-49c3-87be-7bc8a11ef20a · outbound

This paper cites Galaxy Bias and non-Linear Structure Formation in General Relativity.

Spatial anisotropies from long wavelength scalar and tensor modes Galaxy Bias and non-Linear Structure Formation in General Relativity

Reference 23

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Observation 1357e44f-6f6d-4a99-9e55-2839bf937bde · outbound

This paper cites Spatial Curvature Falsifies Eternal Inflation.

Spatial anisotropies from long wavelength scalar and tensor modes Spatial Curvature Falsifies Eternal Inflation

Reference 24

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This paper cites Knox, Phys.

Spatial anisotropies from long wavelength scalar and tensor modes Knox, Phys

Reference 25

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Reference 26

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Reference 27

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Observation bda0c655-b30e-4166-a6ed-a17b5843d3cc · outbound

This paper cites On the question of measuring spatial curvature in an inhomogeneous universe.

Spatial anisotropies from long wavelength scalar and tensor modes On the question of measuring spatial curvature in an inhomogeneous universe

Reference 28

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Observation 909ebb08-6814-439d-981f-334d93487e16 · outbound

This paper cites Spatial Curvature from Super-Hubble Cosmological Fluctuations.

Spatial anisotropies from long wavelength scalar and tensor modes Spatial Curvature from Super-Hubble Cosmological Fluctuations

Reference 29

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Observation 8f141f1b-186e-4c7d-9c1b-3ef0ac37ded9 · outbound

This paper cites \bf $\delta M$ Formalism: A New Approach to Cosmological Perturbation Theory in Anisotropic Inflation.

Spatial anisotropies from long wavelength scalar and tensor modes \bf $\delta M$ Formalism: A New Approach to Cosmological Perturbation Theory in Anisotropic Inflation

Reference 30

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Observation e8f91325-5ba4-4ab4-ae7a-507f2fc6c44a · outbound

This paper cites Lensing signals from Spin-2 perturbations.

Spatial anisotropies from long wavelength scalar and tensor modes Lensing signals from Spin-2 perturbations

Reference 31

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Observation 69075a3e-492f-4856-a846-31cf0f0a68b4 · outbound

This paper cites Direction and redshift drifts for general observers and their applications in cosmology.

Spatial anisotropies from long wavelength scalar and tensor modes Direction and redshift drifts for general observers and their applications in cosmology

Reference 32

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Reference 33

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Observation 788eeea1-aba7-4d6d-a3ab-df8a6d22f562 · outbound

This paper cites Linearization of homogeneous, nearly-isotropic cosmological models.

Spatial anisotropies from long wavelength scalar and tensor modes Linearization of homogeneous, nearly-isotropic cosmological models

Reference 34

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This paper cites Since anisotropy is small, we argue that this shows that (.

Spatial anisotropies from long wavelength scalar and tensor modes Since anisotropy is small, we argue that this shows that (

Reference 35

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Reference 36

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Spatial anisotropies from long wavelength scalar and tensor modes Unresolved cited work

Reference 37

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This paper cites Tensor Squeezed Limits and the Higuchi Bound.

Spatial anisotropies from long wavelength scalar and tensor modes Tensor Squeezed Limits and the Higuchi Bound

Reference 38

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This paper cites Conformal Fermi Coordinates.

Spatial anisotropies from long wavelength scalar and tensor modes Conformal Fermi Coordinates

Reference 39

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This paper cites Conformal consistency relations for single-field inflation.

Spatial anisotropies from long wavelength scalar and tensor modes Conformal consistency relations for single-field inflation

Reference 40

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Spatial anisotropies from long wavelength scalar and tensor modes Conformal Symmetries of Adiabatic Modes in Cosmology

Reference 41

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This paper cites Single field consistency relation for the 3-point function.

Spatial anisotropies from long wavelength scalar and tensor modes Single field consistency relation for the 3-point function

Reference 42

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This paper cites Similarly, if ξ− r are chosen as the Killing vectors, ξ+ r form an invariant basis and satisfy a similar equation.

Spatial anisotropies from long wavelength scalar and tensor modes Similarly, if ξ− r are chosen as the Killing vectors, ξ+ r form an invariant basis and satisfy a similar equation

Reference 43

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This paper cites Weinberg, Cosmology (OUP Oxford, 2008).

Spatial anisotropies from long wavelength scalar and tensor modes Weinberg, Cosmology (OUP Oxford, 2008)

Reference 44

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This paper cites Grøn and S.

Spatial anisotropies from long wavelength scalar and tensor modes Grøn and S

Reference 45

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This paper cites Plebanski and A.

Spatial anisotropies from long wavelength scalar and tensor modes Plebanski and A

Reference 46

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Observation d09dc5cc-0277-4236-a90e-51e631dd33a6 · outbound

This paper cites Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (John Wiley & Sons, New York, 1972).

Spatial anisotropies from long wavelength scalar and tensor modes Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (John Wiley & Sons, New York, 1972)

Reference 47

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Observation 13ece7c9-6cfb-4ecb-a03f-c467c585e12c · outbound

This paper cites An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology.

Spatial anisotropies from long wavelength scalar and tensor modes An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology

Reference 48

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Observation 69a85022-c4a6-4532-b9f9-9c09c11faf69 · outbound

This paper cites Double Soft Limits of Cosmological Correlations.

Spatial anisotropies from long wavelength scalar and tensor modes Double Soft Limits of Cosmological Correlations

Reference 49

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