Topological black holes in Weyl conformal gravity

1998/08/19 by Dietmar Klemm · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1088/0264-9381/15/10/020

published as Class.Quant.Grav. 15 (1998) 3195-3201 · 9 pages, revtex, no figures. To appear in Classical and Quantum Gravity

arxiv created 1998/08/19 · openalex publication_date 1998/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We present a class of exact solutions of Weyl conformal gravity, which have an interpretation as topological black holes. Solutions with negative, zero or positive scalar curvature at infinity are found, the former generalizing the well known topological black holes in anti-de Sitter gravity. The rather delicate question of thermodynamic properties of such objects in Weyl conformal gravity is discussed; suggesting that the thermodynamics of the solutions found should be treated within the framework of gravity as an induced phenomenon, in the spirit of Sakharov's work.

Citations

• Black holes in general relativity
• Formation of Topological Black holes from Gravitational Collapse
• Rotating Topological Black Holes
• Black holes with unusual topology
• Particle creation by black holes
• Cylindrical Black Hole in General Relativity

Cited by

• One-loop divergences in 6D conformal gravity
• Topological charged black holes in high dimensional spacetimes and their formation from gravitational collapse of a type II fluid