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Beyond the Einstein Equation of State: Wald Entropy and Thermodynamical Gravity

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arxiv 0903.1176 v1 pith:LWTHN7IQ submitted 2009-03-06 hep-th

classification hep-th
keywords gravityclassicalentropythermodynamicwaldappliedapproachbeyond
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We show that the classical equations of gravity follow from a thermodynamic relation, dQ = T dS, where S is taken to be the Wald entropy, applied to a local Rindler horizon at any point in spacetime. Our approach works for all diffeomorphism-invariant theories of gravity. This suggests that classical gravity may be thermodynamic in origin.

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    Causal diamonds in symmetric spacetimes obey a thermodynamic first law with negative temperature, and the Einstein equations can be recast as an entropy equilibrium condition, with a long-string CFT picture for non-Ad...

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