2006/05/31 by Hideki Maeda, Naresh Dadhich · 46 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Black hole (networking) #Cosmological constant #Cosmology and Gravitation Theories #Curvature #Einstein #Gauss–Bonnet theorem #Geometry #Kaluza–Klein theory #Mathematical physics #Mathematics #Naked singularity #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Singularity #Spacetime #String (physics) #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.74.021501
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 74(2) (American Physical Society) · 4 pages, 2 figures, final version to appear in Physical Review D as a rapid communication
openalex publication_date 2006/07/10 · arxiv created 2006/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We obtain a new exact black hole solution in Einstein-Gauss-Bonnet gravity with a cosmological constant which bears a specific relation to the Gauss-Bonnet coupling constant. The spacetime is a product of the usual 4-dimensional manifold with a (n\ensuremath-4)-dimensional space of constant negative curvature, i.e., its topology is locally Mn\ensuremath≈M4\ifmmode×\else\texttimes\fiH^n\ensuremath-4. The solution has two parameters and asymptotically approximates to the field of a charged black hole in anti-de Sitter spacetime. The most interesting and remarkable feature is that the Gauss-Bonnet term acts like a Maxwell source for large r while at the other end it regularizes the metric and weakens the central singularity.