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Thermodynamic structure of gravitational field equations from near-horizon symmetries
Published in Institute of Physics Publishing
2010
Volume: 229
   
Abstract
There exists a strong mathematical resemblance between the on-horizon structure of the gravitational field equations and the first law of thermodynamics. In this talk, we discuss how such a structure arises and show that the field equations near any static horizon can be written as: TdS-dE PdV. Moreover, the result extends beyond Einstein theory and holds for Lanczos-Lovelock Lagrangians as well. The entropy S we obtain is precisely the Noether charge entropy of Wald, and E provides a natural generalization of quasi-local energy of the horizon. We comment on several implications of this result, particularly the notion of gravitational entropy [treated as the Noether charge of diffeomorphism invariance] associated with horizons and it's role in gravitational dynamics arising out of virtual displacements of the horizon. © 2010 IOP Publishing Ltd.
About the journal
JournalJournal of Physics: Conference Series
PublisherInstitute of Physics Publishing
ISSN17426588