Gravitational entropy of static space-times and microscopic density of states
Aug, 2003Citations per year
Abstract: (arXiv)
A general ansatz for gravitational entropy can be provided using the criterion that, any patch of area which acts as a horizon for a suitably defined accelerated observer, must have an entropy proportional to its area. After providing a brief justification for this ansatz, several consequences are derived: (i) In any static spacetime with a horizon and associated temperature , this entropy satisfies the relation where is the energy source for gravitational acceleration, obtained as an integral of . (ii) With this ansatz of , the minimization of Einstein-Hilbert action is equivalent to minimizing the free energy with where is the integral of . We discuss the conditions under which these results imply and/or thereby generalizing the results known for black holes. This approach links with several other known results, especially the holographic views of spacetime.- space-time: static
- entropy: gravitation
- horizon
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