On the Microcanonical Entropy of a Black Hole

Details On the Microcanonical Entropy of a Black Hole On the Microcanonical Entropy of a Black Hole

2003-12-03

arxiv.org/abs/gr-qc/0312023v1

Phys.Rev. D69 (2004) 104018

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 1 figure

Scientific paper

10.1103/PhysRevD.69.104018

It has been suggested recently that the microcanonical entropy of a system may be accurately reproduced by including a logarithmic correction to the canonical entropy. In this paper we test this claim both analytically and numerically by considering three simple thermodynamic models whose energy spectrum may be defined in terms of one quantum number only, as in a non-rotating black hole. The first two pertain to collections of noninteracting bosons, with logarithmic and power-law spectra. The last is an area ensemble for a black hole with equi-spaced area spectrum. In this case, the many-body degeneracy factor can be obtained analytically in a closed form. We also show that in this model, the leading term in the entropy is proportional to the horizon area A, and the next term is ln A with a negative coefficient.

Affiliated with

Also associated with

No associations

Rating

On the Microcanonical Entropy of a Black Hole does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Microcanonical Entropy of a Black Hole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Microcanonical Entropy of a Black Hole will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-187752