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Phys. Rev. D 67, 061501(R) (2003) [5 pages]

Black hole entropy in string-generated gravity models

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Ishwaree P. Neupane
Department of Physics, National Taiwan University, Taipei 106, Taiwan, Republic of China

Received 30 December 2002; published 27 March 2003

The Euclidean action and entropy are computed in string-generated gravity models with quadratic curvatures, and used to argue that a negative mass extremal metric is the background for hyperbolic (k=-1) black hole spacetimes, k being the curvature constant of the event horizon. The entropy associated with a black hole is always positive for k={0,1} family. The positivity of energy condition also ensures that the k=-1 (extremal) entropy is non-negative.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.061501
DOI:
10.1103/PhysRevD.67.061501
PACS:
04.70.Dy, 11.10.Kk, 11.25.-w