Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-12-16
Phys.Rev. D71 (2005) 104032
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, appendix added
Scientific paper
10.1103/PhysRevD.71.104032
We show that 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 consequence of regularity of invariants of Riemann tensor on the horizon. Eventual generalisation 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 horizon.
Cvitan Maro
Pallua Silvio
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