[share_ebook] Entropy of Static Spacetimes and Microscopic Density of States - T. Padmanabhan - PDF - Free ebook download

Category: Technical

Posted on 2012-01-26, by nightbat.


T. Padmanabhan, <<Entropy of Static Spacetimes and Microscopic Density of States>>


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 −1, this entropy satisfies the relation S = (1/2) E where E
is the energy source for gravitational acceleration, obtained as an integral
of (Tab − (1/2)Tgab)uaub. (ii) With this ansatz of S, the minimization of
Einstein-Hilbert action is equivalent to minimizing the free energy F with
F = U − S where U is the integral of Tabuaub. We discuss the conditions
under which these results imply S / E2 and/or S / U2 thereby
generalizing the results known for black holes. This approach links with
several other known results, especially the holographic views of spacetime.

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