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Advances in High Energy Physics
Volume 2013 (2013), Article ID 386342, 10 pages
Research Article

Noether Current of the Surface Term of Einstein-Hilbert Action, Virasoro Algebra, and Entropy

IUCAA, Ganeshkhind, Pune University Campus, Post Bag 4, Pune 411 007, India

Received 30 April 2013; Accepted 28 June 2013

Academic Editor: Mauricio Bellini

Copyright © 2013 Bibhas Ranjan Majhi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 (Majhi and Padmanabhan (2012)) (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.