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 SchwarzschildTangherlini or Reissner-Nordstrom solutions, respectively.
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