Perturbative Quantum Gravity And Newton's Law On A Flat Robertson-Walker Background

(2) University of Crete; (3) University of Florida at Gainesville); J. Iliopoulos (1); N. C. Tsamis (2); R. P. Woodard (3) ((1) Ecole Normale Superieure; T. N. Tomaras (2)

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Perturbative Quantum Gravity And Newton's Law On A Flat Robertson-Walker Background

J. Iliopoulos (1), T. N. Tomaras (2), N. C. Tsamis (2), R. P. Woodard (3) ((1) Ecole Normale Superieure, (2) University of Crete, (3) University of Florida at Gainesville)

General Relativity and Quantum Cosmology · Submitted 9 Jan 1998

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The authors' main claim As an elementary application, we compute the corrections to the Newtonian gravitational force in the present matter dominated era and conclude -- as expected -- that they are negligible except for the largest scales.

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arXiv IDgr-qc/9801028 (version 1)

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Citation(2) University of Crete, (3) University of Florida at Gainesville), J. Iliopoulos (1), N. C. Tsamis (2), R. P. Woodard (3) ((1) Ecole Normale Superieure, T. N. Tomaras (2). "Perturbative Quantum Gravity And Newton's Law On A Flat Robertson-Walker Background." arXiv:gr-qc/9801028 (1998). https://pith.science/paper/KINHGM7O

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We derive the Feynman rules for the graviton in the presence of a flat Robertson-Walker background and give explicit expressions for the propagator in the physically interesting cases of inflation, radiation domination, and matter domination. The aforementioned background is generated by a scalar field source which should be taken to be dynamical. As an elementary application, we compute the corrections to the Newtonian gravitational force in the present matter dominated era and conclude -- as expected -- that they are negligible except for the largest scales.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We derive the Feynman rules for the graviton in the presence of a flat Robertson-Walker background and give explicit expressions for the propagator in the physically interesting cases of inflation, radiation domination, and matter domination.	contribution 0.96	0.96	0.12	asserted 1.00
s1	The aforementioned background is generated by a scalar field source which should be taken to be dynamical.	method 0.42	0.24	0.03	asserted 0.80
s2	As an elementary application, we compute the corrections to the Newtonian gravitational force in the present matter dominated era and conclude -- as expected -- that they are negligible except for the largest scales.	result 0.97	0.95	0.70	asserted 1.00

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Original abstract

We derive the Feynman rules for the graviton in the presence of a flat Robertson-Walker background and give explicit expressions for the propagator in the physically interesting cases of inflation, radiation domination, and matter domination. The aforementioned background is generated by a scalar field source which should be taken to be dynamical. As an elementary application, we compute the corrections to the Newtonian gravitational force in the present matter dominated era and conclude -- as expected -- that they are negligible except for the largest scales.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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Exact hypergeometric Green's functions yield closed-form linearized metric perturbations from quadrupolar sources in power-law cosmologies.
Improved Estimates of Cosmological Perturbations
astro-ph 2003-07 conditional novelty 5.0 of 10

The authors derive correction factors to the standard inflationary scalar and tensor power spectra using their own exact mode-function solutions, finding corrections near unity for slow-roll models.
Krein space quantization and New Quantum Algorithms
gr-qc 2025-05 reject novelty 3.0 of 10

A proposed Krein-space block-matrix regularization for singular linear systems reduces to a parameter-dependent normal-equation solve and is not demonstrated as a quantum algorithm.

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15 arXiv papers cite this in 24 sentences

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Papers citing it · 16 sentences without a confident label

Compares with it 2 papers

We also showed that these results agree with special cases which have been reported in the literature [ref] .

Infrared Propagator Corrections for Constant Deceleration · Discussion · 0.99
After many partial integrations we find [An analogous result can be found in Ref. [ref] .

The graviton one-loop effective action in cosmological space-times with constant deceleration · The gravitational and matter propagators · 0.85

Cites it as background 4 papers

The special case of de Sitter ($ϵ= 0$, constant $H$ and $a(η) = -1/Hη$) is often considered as a reasonable paradigm for inflation, and is attractive both because we possess analytic expressions for the graviton propagator [ref] and because there is no mixing with whatever matter fields support inflation [ref] .

How Inflationary Gravitons Affect Gravitational Radiation · Introduction · 0.82
Whereas in de Sitter space, the only relevant metric fluctuations are the tensor modes (gravitational waves), in a more general setting also the scalar modes, due to the mixing of gravitational and matter degrees of freedom, have to be taken into account [ref] [ref] [ref] .

Graviton one-loop effective action and inflationary dynamics · Introduction · 0.81
Whereas in de Sitter space, the only relevant metric fluctuations are the tensor modes (gravitational waves), in a more general setting one has to take the mixing of gravitational and matter degrees of freedom into account [ref] .

The graviton one-loop effective action in cosmological space-times with constant deceleration · Introduction · 0.84

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