Thermodynamic route to Field equations in Lanczos-Lovelock Gravity

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dc.creatorParanjape, Aseem
dc.creatorSarkar, Sudipta
dc.creatorPadmanabhan, T.
dc.date2006-07-29
dc.date2006-08-08
dc.date.accessioned2026-07-07T11:27:33Z
dc.date.available2026-07-07T11:27:33Z
dc.descriptionSpacetimes with horizons show a resemblance to thermodynamic systems and one can associate the notions of temperature and entropy with them. In the case of Einstein-Hilbert gravity, it is possible to interpret Einstein's equations as the thermodynamic identity TdS = dE + PdV for a spherically symmetric spacetime and thus provide a thermodynamic route to understand the dynamics of gravity. We study this approach further and show that the field equations for Lanczos-Lovelock action in a spherically symmetric spacetime can also be expressed as TdS = dE + PdV with S and E being given by expressions previously derived in the literature by other approaches. The Lanczos-Lovelock Lagrangians are of the form L=Q_a^{bcd}R^a_{bcd} with \nabla_b Q^{abcd}=0. In such models, the expansion of Q^{abcd} in terms of the derivatives of the metric tensor determines the structure of the theory and higher order terms can be interpreted quantum corrections to Einstein gravity. Our result indicates a deep connection between the thermodynamics of horizons and the allowed quantum corrections to standard Einstein gravity, and shows that the relation TdS = dE + PdV has a greater domain of validity that Einstein's field equations.
dc.descriptionrevised version: typos corrected and references added; revtex4; 9 pages; no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0607240
dc.identifierhttp://arxiv.org/abs/hep-th/0607240
dc.identifierPhys.Rev.D74:104015,2006
dc.identifierdoi:10.1103/PhysRevD.74.104015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196181
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThermodynamic route to Field equations in Lanczos-Lovelock Gravity
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