- Physical Review Journals
All JournalsPhysics Magazine

Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Revisiting induced gravity in scalar-tensor thermodynamics

Andrea Giusti

PDF

Phys. Rev. D 113, 064032 – Published 18 March, 2026

DOI: https://doi.org/10.1103/ml3t-nrn5

Abstract

Induced gravity, defined as a globally scale-invariant “first-generation” scalar-tensor theory, is investigated within the framework of the thermodynamics of modified gravity theories. The “temperature of gravity” and its evolution equation are derived for this model, and the resulting expressions are used to analyze general relativity equilibrium states and to investigate the possible existence of an attractor mechanism toward Einstein’s theory with a cosmological constant.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (25)

  1. A. D. Sakharov, Dokl. Akad. Nauk SSSR 177, 70 (1967) [Republication: Gen. Relativ. Gravit. 32, 365 (2000)].
  2. A. Zee, Phys. Rev. Lett. 42, 417 (1979).
  3. F. Cooper and G. Venturi, Phys. Rev. D 24, 3338 (1981).
  4. A. Zee, Phys. Rev. D 23, 858 (1981).
  5. G. Turchetti and G. Venturi, Nuovo Cimento Soc. Ital. Fis. 66A, 221 (1981).

  6. In this work, we adopt the notation of Ref. [7], in which the metric signature is (−+++). Furthermore, units are used in which the speed of light and 8πG (where G denotes Newton’s constant) are unity.

  7. R. M. Wald, General Relativity (Chicago University Press, Chicago, USA, 1984).
  8. F. Finelli, A. Tronconi, and G. Venturi, Phys. Lett. B 659, 466 (2008).
  9. V. Faraoni, Cosmology in Scalar Tensor Gravity (Springer, New York, 2004).
  10. T. Damour and K. Nordtvedt, Phys. Rev. Lett. 70, 2217 (1993).
  11. T. Damour and K. Nordtvedt, Phys. Rev. D 48, 3436 (1993).
  12. V. Faraoni and J. Coté, Phys. Rev. D 98, 084019 (2018).
  13. V. Faraoni and A. Giusti, Phys. Rev. D 103, L121501 (2021).
  14. V. Faraoni, A. Giusti, and A. Mentrelli, Phys. Rev. D 104, 124031 (2021).
  15. A. Giusti, S. Zentarra, L. Heisenberg, and V. Faraoni, Phys. Rev. D 105, 124011 (2022).
  16. S. Giardino and A. Giusti, Ricerche di matematica 74, 43 (2025).
  17. S. Giardino, V. Faraoni, and A. Giusti, J. Cosmol. Astropart. Phys. 04 (2022) 053.
  18. M. Miranda, S. Giardino, A. Giusti, and L. Heisenberg, Phys. Rev. D 109, 124033 (2024).
  19. V. Faraoni and A. Giusti, Phys. Rev. Lett. 134, 211406 (2025).
  20. L. Gallerani, M. Miranda, A. Giusti, and A. Mentrelli, Phys. Rev. D 110, 064087 (2024).
  21. V. Faraoni and J. Houle, Eur. Phys. J. C 83, 521 (2023).
  22. O. Pujolas, I. Sawicki, and A. Vikman, J. High Energy Phys. 11 (2011) 156.
  23. C. Eckart, Phys. Rev. 58, 919 (1940).
  24. V. Faraoni and N. Veilleux, Phys. Rev. D 113, 044030 (2026).
  25. A. Y. Kamenshchik, E. O. Pozdeeva, A. A. Starobinsky, A. Tronconi, G. Venturi, and S. Y. Vernov, Phys. Rev. D 97, 023536 (2018).

Outline

Information

Phys. Rev. D 113, 064032– Published 18 March, 2026
  • Received 24 January 2026
  • Accepted 23 February 2026
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation