Static black holes and strictly static spacetimes in Einstein-Gauss-Bonnet gravity with gauge field

2014/06/16 by Marek Rogatko
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Diffeomorphism #Einstein #Gauge (firearms) #Gauge theory #Gauss–Bonnet gravity #Gauss–Bonnet theorem #General relativity #Geometry #Gravitation #Mathematical analysis #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #Spacetime #Theoretical physics #Wormhole #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.89.124022

published as Phys.Rev.D89, 124022 (2014) · 8 pagers, RevTex, to be published in Phys.Rev.D15

arxiv created 2014/06/16 · openalex publication_date 2014/06/18 · arxiv updated 2016/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We examine strictly static asymptotically flat spacetimes in Einstein-Gauss-Bonnet gravity with a U(1) gauge field, revealing that, up to small curvature corrections, static conformally flat slices of the spacetime in question are of Minkowski origin. We consider uncharged and charged black hole solutions in the theory, showing that, up to the small curvature limit, they are diffeomorphic to Schwarzschild-Tangherlini or Reissner-Nordstr"om solutions, respectively.

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