IJPAM: Volume 10, No. 4 (2004)

REMARKS ON THE ENTROPY OF
NON-STATIONARY BLACK HOLES

G. Allemandi$^1$, L. Fatibene$^2$, M. Francaviglia$^3$
$^{1,2,3}$Department of Mathematics
University of Turin
Via Carlo Alberto 10, 10123 Turin, ITALY
$^1$e-mail: allemandi@dm.unito.it
$^2$e-mail: fatibene@dm.unito.it
$^3$e-mail: francaviglia@dm.unito.it


Abstract.The definition of entropy obtained for stationary black holes is extended in this paper to the case of non-stationary black holes. Entropy is defined as a macroscopical thermodynamical quantity which satisfies the first principle of thermodynamics. In the non-stationary case a volume term appears since the solution does not admit a Killing vector.

Received: October 17, 2003

AMS Subject Classification: 83C57, 83C05,

Key Words and Phrases: entropy, stationary black holes, non-stationary black holes, Killing vector

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 10
Issue: 4