Spectral Functions for BTZ Black Hole Geometry

Abstract

Using an orbifold description of the Euclidean BTZ black hole, we show that there is a special relation between the spectrum and the truncated heat kernel of this black hole with the Patterson-Selberg zeta function.

9 pages, no figures, revised version to be published in the Lett. Math. Phys

References in corpus (5)

• The Black Hole in Three Dimensional Space Time
• Aspects of Black Hole Quantum Mechanics and Thermodynamics in 2+1 Dimensions
• Quantum scalar field on three-dimensional (BTZ) black hole instanton: heat kernel, effective action and thermodynamics
• Quantum Correction to the Entropy of the (2+1)-Dimensional Black Hole
• Orbifold Compactification and Solutions of M--Theory from Milne Spaces

Cited by in corpus (2)

• Kac-Moody and Virasoro Characters from the Perturbative Chern-Simons Path Integral
• Partition Functions of Three-Dimensional Quantum Gravity and the Black Hole Entropy