In this work a relation between topology and thermodynamical features of gravitational instantons is shown. The expression for the Euler characteristic, through the Gauss-Bonnet integral, and the one for the entropy of gravitational instantons are proposed in a form that makes the relation between them self-evident. A new formulation of the Bekenstein-Hawking formula, where the entropy and the Euler characteristic are related by S = χA/8, is obtained. This formula provides the correct results for a wide class of gravitational instantons described by both spherically and axially symmetric metrics.
|Titolo:||Entropy and topology for gravitational instantons|
|Autori:||LIBERATI S; GIUSEPPE POLLIFRONE|
|Rivista:||PHYSICAL REVIEW D|
|Data di pubblicazione:||1997|
|Digital Object Identifier (DOI):||10.1103/PhysRevD.56.6458|
|Appare nelle tipologie:||1.1 Journal article|