Is gravitational entropy quantized ?

Details Is gravitational entropy quantized ? Is gravitational entropy quantized ?

2008-07-09

arxiv.org/abs/0807.1481v1

Phys.Rev.D78:104018,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX 4; 4 pages; no figures

Scientific paper

10.1103/PhysRevD.78.104018

In Einstein's gravity, the entropy of horizons is proportional to their area. Several arguments given in the literature suggest that, in this context, both area and entropy should be quantized with an equally spaced spectrum for large quantum numbers. But in more general theories (like, for e.g, in the black hole solutions of Gauss-Bonnet or Lanczos-Lovelock gravity) the horizon entropy is \emph{not} proportional to area and the question arises as to which of the two (if at all) will have this property. We give a general argument that in all Lanczos-Lovelock theories of gravity, it is the \emph{entropy} that has equally spaced spectrum. In the case of Gauss-Bonnet gravity, we use the asymptotic form of quasi normal mode frequencies to explicitly demonstrate this result. Hence, the concept of a quantum of area in Einstein Hilbert (EH) gravity needs to be replaced by a concept of \emph{quantum of entropy} in a more general context.

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