New interpretation of the Minkowski limit of R 2 gravity

It is well-established that the Minkowski limit of pure $f(R)=R^2$ gravity breaks down, unlike that of full Starobinsky theory $f(R)=R+αR^2$. We provide a novel interpretation of this phenomenon using the recent thermal analogy between scalar-tensor gravity and Eckart's relativistic dissipative fluids. In this framework, we show that approaching the Minkowski background corresponds to a diverging effective ``gravitational temperature''. This perspective naturally rephrases the strong coupling problem as a thermal singularity, demonstrating that $R^2$ gravity departs infinitely far from General Relativity rather than recovering it.

Authors

Publication Details

Journal
Physical review. D/Physical review. D.
Published
2026-11-06
DOI
https://doi.org/10.1103/yhxk-dd5w
Citations
2
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
1.66

Funders

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New interpretation of the Minkowski limit of R 2 gravity

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article

New interpretation of the Minkowski limit of R 2 gravity

Valerio Faraoni, Luca Gallerani, S. Novoa-Cattivelli, Uri Gorman, Alain Maltais-Gosselin
article en
2 citations

Abstract

It is well-established that the Minkowski limit of pure $f(R)=R^2$ gravity breaks down, unlike that of full Starobinsky theory $f(R)=R+αR^2$. We provide a novel interpretation of this phenomenon using the recent thermal analogy between scalar-tensor gravity and Eckart's relativistic dissipative fluids. In this framework, we show that approaching the Minkowski background corresponds to a diverging effective ``gravitational temperature''. This perspective naturally rephrases the strong coupling problem as a thermal singularity, demonstrating that $R^2$ gravity departs infinitely far from General Relativity rather than recovering it.

Physical review. D/Physical review. D.
Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per la Fisica Matematica
Openalex Percentile: Top 14%
Cosmology and Gravitation Theories
1.66
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