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Thermal Origin of the Attractor-to-General-Relativity in Scalar-Tensor Gravity

Valerio Faraoni1,* and Andrea Giusti1,2,†

  • 1Department of Physics and Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, Québec, Canada J1M 1Z7
  • 2Department of Physics and Astronomy, University of Sussex, Brighton, BN1 9QH, United Kingdom

  • *Contact author: vfaraoni@ubishops.ca
  • †Contact author: agiusti@ubishops.ca

Phys. Rev. Lett. 134, 211406 – Published 30 May, 2025

DOI: https://doi.org/10.1103/22w4-v2xn

Abstract

The convergence of scalar-tensor gravity to general relativity, or the departure from it, is described in a new analogy with heat dissipation in a viscous fluid. This new thermal picture is applied to cosmology, shedding light on whether gravity deviates from general relativity early on and approaches it later in the cosmic history.

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References (30)

  1. T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82, 451 (2010).
  2. A. De Felice and S. Tsujikawa, Living Rev. Relativity 13, 3 (2010).
  3. S. Nojiri and S. D. Odintsov, Phys. Rep. 505, 59 (2011).
  4. C. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961).
  5. P. G. Bergmann, Int. J. Theor. Phys. 1, 25 (1968).
  6. K. Nordtvedt, Phys. Rev. 169, 1017 (1968).
  7. R. V. Wagoner, Phys. Rev. D 1, 3209 (1970).
  8. K. Nordtvedt, Jr., Astrophys. J. 161, 1059 (1970).
  9. G. W. Horndeski, Int. J. Theor. Phys. 10, 363 (1974).
  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. A. Serna, J. M. Alimi, and A. Navarro, Classical Quantum Gravity 19, 857 (2002).
  13. The original Damour-Nordvedt scenario contained a massless scalar field with no potential.

  14. We follow the notation of Ref. [15].

  15. R. M. Wald, General Relativity (Chicago University Press, Chicago, USA, 1984).
  16. C. Eckart, Phys. Rev. 58, 919 (1940).
  17. V. Faraoni and J. Coté, Phys. Rev. D 98, 084019 (2018).
  18. V. Faraoni and A. Giusti, Phys. Rev. D 103, L121501 (2021).
  19. V. Faraoni, A. Giusti, and A. Mentrelli, Phys. Rev. D 104, 124031 (2021).
  20. A. Giusti, S. Zentarra, L. Heisenberg, and V. Faraoni, Phys. Rev. D 105, 124011 (2022).
  21. L. Gallerani, M. Miranda, A. Giusti, and A. Mentrelli, Phys. Rev. D 110, 064087 (2024).
  22. G. F. R. Ellis, Proc. Int. Sch. Phys. Fermi 47, 104 (1971).
  23. S. Giardino, A. Giusti, and V. Faraoni, Eur. Phys. J. C 83, 621 (2023).
  24. These requirements exclude several legitimate stealth solutions.

  25. Ref. [23] discusses other stealth solutions with ϕ(t)=ϕ0tβ or ϕ(t)=ϕ0 eα t, but these are not solutions of Brans-Dicke gravity under the assumptions made in this section.

  26. J. O’ Hanlon and B. O. J. Tupper, Nuovo Cimento B 7, 305 (1972).
  27. S. Giardino, V. Faraoni, and A. Giusti, J. Cosmol. Astropart. Phys. 04 (2022) 053.
  28. It is known that spatial curvature affects the attractor-to-GR mechanism [29]. Spatially curved universes will be discussed elsewhere.

  29. D. I. Santiago, D. Kalligas, and R. V. Wagoner, Phys. Rev. D 58, 124005 (1998).
  30. V. Faraoni, S. Giardino, A. Giusti, and R. Vanderwee, Eur. Phys. J. C 83, 24 (2023).

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