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

Abstract

We examine strictly static asymptotically flat spacetimes in Einstein-Gauss-Bonnet gravity with U(1) gauge field, revealing that, up to small curvature corrections, confomally 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-Nordstrom solutions, respectively.

8 pagers, RevTex, to be published in Phys.Rev.D15

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Cited by in corpus (4)

• Expanded evasion of the black hole no-hair theorem in dilatonic Einstein-Gauss-Bonnet theory
• Uniqueness of photon sphere for Einstein-Maxwell-dilaton black holes with arbitrary coupling constant
• Uniqueness of dilaton Melvin-Schwarzschild solution
• Uniqueness of dark matter magnetized static black hole spacetime