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Title: Conformal entropy for generalized gravity theories as a consequence of horizon properties

Abstract

We show that a microscopic entropy formula based on Virasoro algebra follows from properties of stationary Killing horizons for Lagrangians with arbitrary dependence on Riemann tensor. The properties used are a consequence of regularity of invariants of Riemann tensor on the horizon. Eventual generalization of these results to Lagrangians with derivatives of Riemann tensor, as suggested by an example treated in the paper, relies on assuming regularity of invariants involving derivatives of Riemann tensor. This assumption however leads also to new interesting restrictions on metric functions near the horizon.

Authors:
;  [1]
  1. Department of Theoretical Physics, Faculty of Natural Sciences and Mathematics, University of Zagreb, Bijenicka cesta 32, 10000 Zagreb (Croatia)
Publication Date:
OSTI Identifier:
20709296
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 71; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.71.104032; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; BLACK HOLES; CONFORMAL INVARIANCE; COSMOLOGY; ENTROPY; GRAVITATION; LAGRANGIAN FUNCTION; QUANTUM FIELD THEORY; TENSORS

Citation Formats

Cvitan, M, and Pallua, S. Conformal entropy for generalized gravity theories as a consequence of horizon properties. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.71.104032.
Cvitan, M, & Pallua, S. Conformal entropy for generalized gravity theories as a consequence of horizon properties. United States. https://doi.org/10.1103/PhysRevD.71.104032
Cvitan, M, and Pallua, S. 2005. "Conformal entropy for generalized gravity theories as a consequence of horizon properties". United States. https://doi.org/10.1103/PhysRevD.71.104032.
@article{osti_20709296,
title = {Conformal entropy for generalized gravity theories as a consequence of horizon properties},
author = {Cvitan, M and Pallua, S},
abstractNote = {We show that a microscopic entropy formula based on Virasoro algebra follows from properties of stationary Killing horizons for Lagrangians with arbitrary dependence on Riemann tensor. The properties used are a consequence of regularity of invariants of Riemann tensor on the horizon. Eventual generalization of these results to Lagrangians with derivatives of Riemann tensor, as suggested by an example treated in the paper, relies on assuming regularity of invariants involving derivatives of Riemann tensor. This assumption however leads also to new interesting restrictions on metric functions near the horizon.},
doi = {10.1103/PhysRevD.71.104032},
url = {https://www.osti.gov/biblio/20709296}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 10,
volume = 71,
place = {United States},
year = {Sun May 15 00:00:00 EDT 2005},
month = {Sun May 15 00:00:00 EDT 2005}
}