Phys. Rev. Lett. 103, 101301 (2009) [4 pages]Einstein Equations for Generalized Theories of Gravity and the Thermodynamic Relation δQ=TδS are EquivalentSee Also: Erratum Received 9 March 2009; published 1 September 2009 We show that the equations of motion of generalized theories of gravity are equivalent to the thermodynamic relation δQ=TδS. Our proof relies on extending previous arguments by using a more general definition of the Noether charge entropy. We have thus completed the implementation of Jacobson’s proposal to express Einstein’s equations as a thermodynamic equation of state. Additionally, we find that the Noether charge entropy obeys the second law of thermodynamics if the energy-momentum tensor obeys the null energy condition. Our results support the idea that gravitation on a macroscopic scale is a manifestation of the thermodynamics of the vacuum. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.101301
DOI:
10.1103/PhysRevLett.103.101301
PACS:
04.70.Dy, 04.62.+v
See AlsoErratum: Ram Brustein and Merav Hadad, Erratum: Einstein Equations for Generalized Theories of Gravity and the Thermodynamic Relation δQ=TδS are Equivalent [Phys. Rev. Lett. 103, 101301 (2009)], Phys. Rev. Lett. 105, 239902 (2010). |
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