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Author: search.filters.author.Bibhas, Ranjan MajhiSubject: search.filters.subject.Entropy

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    Noether Current, Horizon Virasoro Algebra, and Entropy
    (American physical society, 2012-04-08) Bibhas, Ranjan Majhi; Padmanabhan, T.
    We provide a simple and straightforward procedure for defining a Virasoro algebra based on the diffeomorphisms near a null surface in a space-time and obtain the entropy density of the null surface from its central charge.We use the off-shell Noether current corresponding to the diffeomorphism invariance of a gravitational Lagrangian Lðgab; RabcdÞ and define the Virasoro algebra from its variation. This allows us to identify the central charge and the zero-mode eigenvalue with which we obtain the entropy density of the Killing horizon. Our approach works for all Lanczos-Lovelock models and reproduces the correct Wald entropy. The entire analysis is done off-shell without using the field equations and allows us to define an entropy density for any null surface which acts as a local Rindler horizon for a particular class of observers.