P. Mitra

Hawking temperature from tunnelling formalism

It has recently been suggested that the attempt to understand Hawking radiation as tunnelling across black hole horizons produces a Hawking temperature double the standard value. It is explained here how one can obtain the standard value in the same tunnelling approach.

An improved estimate of black hole entropy in the quantum geometry approach

Abstract A proper counting of states for black holes in the quantum geometry approach shows that the dominant configuration for spins are distributions that include spins exceeding one-half at the punctures. This raises the value of the Immirzi parameter and the black hole entropy. However, the coefficient of the logarithmic correction remains − 1 / 2 as before.

Noncommutative oscillators and the commutative limit

It is shown in first order perturbation theory that anharmonic oscillators in non-commutative space behave smoothly in the commutative limit just as harmonic oscillators do. The non-commutativity provides a method for converting a problem in degenerate perturbation theory to a non-degenerate problem.

Entropy for extremal Reissner-Nordstrom black holes

Abstract We find in the brick wall model that the entropy of scalar matter in an extremal Reissner-Nordstrom background does not vanish and in fact has a stronger divergence than usual. We also interpret earlier results on the classical action of these black holes to argue that the mass may be a measure of the gravitational entropy, somewhat like in string models.

Log correction to the black hole area law

Various approaches to black hole entropy yield the area law with logarithmic corrections, many involving a coefficient

Counting black hole microscopic states in loop quantum gravity

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A Bound on the log correction to the black hole area law

, and some involving

Tunnelling from black holes and tunnelling into white holes

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On the log correction to the black hole area law

. It is pointed out here that the standard quantum geometry formalism with spin one-half at each puncture is not consistent with

Statistical entropy of Schwarzschild black strings and black holes

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