Phys. Rev. D 78, 061501(R) (2008) [4 pages]

f(R) gravity equation of state

Abstract

References

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Emilio Elizalde^1,* and Pedro J. Silva^2,†
¹Institut de Ciències de l’Espai (CSIC) and Institut d’Estudis Espacials de Catalunya (IEEC/CSIC) UAB, Ciències, Torre C5-Parell-2a planta E-08193 Bellaterra (Barcelona) Spain
²Institut de Ciències de l’Espai (IEEC-CSIC) and Institut de Física d’Altes Energies UAB, E-08193 Bellaterra (Barcelona) Spain

Received 22 April 2008; published 25 September 2008

The f(R) gravity field equations are derived as an equation of state of local space-time thermodynamics. Jacobson’s arguments are nontrivially extended, by means of a more general definition of local entropy, for which Wald’s definition of dynamic black hole entropy is used, as well as the concept of an effective Newton constant for graviton exchange, which recently appeared in the literature.

URL:

http://link.aps.org/doi/10.1103/PhysRevD.78.061501

DOI:

10.1103/PhysRevD.78.061501

PACS:

04.20.Cv, 04.62.+v, 04.70.Dy, 98.80.Jk

^*elizalde@ieec.uab.es

elizalde@math.mit.edu

^†psilva@ifae.es

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Phys. Rev. D 78, 061501(R) (2008) [4 pages]

f(R) gravity equation of state