Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-03-04
Phys.Rev.Lett.103:101301,2009; Erratum-ibid.105:239902,2010
Physics
High Energy Physics
High Energy Physics - Theory
V3: Two important sign errors corrected, leading to several signs changed in various equations. Results unchanged. We thank Da
Scientific paper
10.1103/PhysRevLett.103.101301 1
We show that the equations of motion of generalized theories of gravity are equivalent to the thermodynamic relation $\delta Q = T \delta S$. 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 matter 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.
Brustein Ram
Hadad Merav
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