{ "id": "hep-th/0609027", "version": "v5", "published": "2006-09-04T14:39:49.000Z", "updated": "2008-04-21T01:17:08.000Z", "title": "BTZ Black Hole with Higher Derivatives, the Second Law of Thermodynamics, and Statistical Entropy: A New Proposal", "authors": [ "Mu-in Park" ], "comment": "Footnote 8 is rewritten, typos corrected, references updated, accpeted in PRD", "journal": "Phys.Rev.D77:126012,2008", "doi": "10.1103/PhysRevD.77.126012", "categories": [ "hep-th", "astro-ph", "gr-qc" ], "abstract": "I consider the thermodynamics of the BTZ black hole in the presence of the higher curvature and gravitational Chern-Simons terms, and its statistical entropy. I propose a new thermodynamical entropy, which being {\\it non-negative} manifestly, such as the second law, as well as the first law, of thermodynamics is satisfied. I show that the new \\therl entropy agrees perfectly with the statistical entropy for $all$ the values of the conformal factor of the higher curvature terms and the coupling constant of the gravitational Chern-Simons term, in contrast to some disagreements in the literatures. The agreement with both the higher curvature and gravitational Chern-Simons terms is possible because of an appropriate balancing of them, though it is not a trivial matter because of a conflict in the appropriate Hilbert space for a well-defined conformal field theory for each term.", "revisions": [ { "version": "v5", "updated": "2008-04-21T01:17:08.000Z" } ], "analyses": { "subjects": [ "04.70.-s", "04.70.Dy", "11.25.Hf" ], "keywords": [ "btz black hole", "statistical entropy", "second law", "gravitational chern-simons term", "higher derivatives" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 725315 } } }