Comparisons of Black Hole Entropy

TL;DR

This thesis compares various concepts of black hole entropy, analyzing their similarities and differences in divergence, curvature dependence, and geometric behavior, to understand if they represent the same physical quantity.

Contribution

It provides a detailed comparison of statistical, entanglement, Wald, and Carlip's entropies, highlighting their differences and overlaps in specific physical aspects.

Findings

Statistical and entanglement entropies may be similar but differ from Wald and Carlip entropies.

Wald and Carlip's entropies show distinct behaviors in divergence and curvature dependence.

Some chapters overlap with previous works, while others present new analysis.

Abstract

In this thesis I examine several different concepts of black hole entropy in order to understand whether they describe the same quantity. I look at statistical and entanglement entropies, Wald entropy and Carlip's entropy from conformal field theory, and compare their behavior in a few specific aspects: divergence at the BH horizon, dependence on space time curvature and behavior under a geometric variation. I find that statistical and entanglement entropy may be similar but they seem to differ from the entropy of Wald and Carlip. Chapters 2 and 3 overlap with 1010.4157 and 1310.3938. Chapter 4 does not appear elsewhere.