Abstract
In general relativity there exist two variables whose variations when integrated over a null surface, have direct correspondence with variations of temperature and entropy. Using two such variables for Lanczos-Lovelock gravity we show that the variation of the surface term in the action, when evaluated on a null surface, has direct thermodynamic interpretation as in the case of general relativity. Further the variations of these two variables again correspond to variations of temperature and of the appropriate Wald entropy for the Lanczos-Lovelock model.
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References
A. Mukhopadhyay, T. Padmanabhan, Holography of gravitational action functionals. Phys. Rev. D 74, 124023 (2006). arXiv:hep-th/0608120
S. Kolekar, D. Kothawala, T. Padmanabhan, Two aspects of black hole entropy in Lanczos-Lovelock models of gravity. Phys. Rev. D 85, 064031 (2012). arXiv:1111.0973 [gr-qc]
T. Padmanabhan, Holographic gravity and the surface term in the Einstein-Hilbert action. Braz. J. Phys. 35, 362–372 (2005). arXiv:gr-qc/0412068 [gr-qc]
T. Padmanabhan, Equipartition of energy in the horizon degrees of freedom and the emergence of gravity. Mod. Phys. Lett. A 25, 1129–1136 (2010). arXiv:0912.3165 [gr-qc]
T. Padmanabhan, Entropy density of spacetime and the Navier-Stokes fluid dynamics of null surfaces. Phys. Rev. D 83, 044048 (2011). arXiv:1012.0119 [gr-qc]
S. Kolekar, T. Padmanabhan, Action principle for the fluid-gravity correspondence and emergent gravity. Phys. Rev. D 85, 024004 (2012). arXiv:1109.5353 [gr-qc]
T. Padmanabhan, Surface density of spacetime degrees of freedom from equipartition law in theories of gravity. Phys. Rev. D 81, 124040 (2010). arXiv:1003.5665 [gr-qc]
K. Parattu, B.R. Majhi, T. Padmanabhan, Structure of the gravitational action and its relation with horizon thermodynamics and emergent gravity paradigm. Phys. Rev. D 87, 124011 (2013). arXiv:gr-qc/1303.1535 [gr-qc], doi:10.1103/PhysRevD.87.124011
A. Medved, D. Martin, M. Visser, Dirty black holes: space-time geometry and near horizon symmetries. Class. Quantum. Gravity 21, 3111–3126 (2004). arXiv:gr-qc/0402069 [gr-qc]
K. Parattu, S. Chakraborty, B.R. Majhi, T. Padmanabhan, Null Surfaces: Counter-term for the Action Principle and the Characterization of the Gravitational Degrees of Freedom. arXiv:1501.01053 [gr-qc]
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Chakraborty, S. (2017). Thermodynamic Interpretation of Geometrical Variables. In: Classical and Quantum Aspects of Gravity in Relation to the Emergent Paradigm. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-63733-4_4
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DOI: https://doi.org/10.1007/978-3-319-63733-4_4
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