Noether current of the surface term of Einstein-Hilbert action, Virasoro algebra and entropy
Abstract
A derivation of Noether current from the surface term of Einstein-Hilbert action is given. We show that the corresponding charge, calculated on the horizon, is related to the Bekenstein-Hawking entropy. Also using the charge, the same entropy is found based on the Virasoro algebra and Cardy formula approach. In this approach, the relevant diffeomorphisms are found by imposing a very simple physical argument: diffeomorphisms keep the horizon structure invariant. This complements similar earlier results (arXiv:1204.1422) obtained from York-Gibbons-Hawking surface term. Finally we discuss the technical simplicities and improvements over the earlier attempts and also various important physical implications.
Keywords
Cite
@article{arxiv.1210.6736,
title = {Noether current of the surface term of Einstein-Hilbert action, Virasoro algebra and entropy},
author = {Bibhas Ranjan Majhi},
journal= {arXiv preprint arXiv:1210.6736},
year = {2013}
}
Comments
V2: 18 pages, no figures, clarifications and references added