Uniqueness of charged static asymptotically flat black holes in dynamical Chern-Simons gravity

Abstract

Making use of the conformal positive energy theorem we prove the uniqueness of four-dimensional static electrically charged black holes being the solution of Chern-Simons dynamical gravity equations of motion. We assume that black hole spacetime contains an asymptotically flat spacelike hypersurface with compact interior and non-degenerate components of the event horizon.

6 pages, RevTex, to be published in Phys.Rev.D15

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• Abelian-Higgs hair on stationary axisymmetric black hole in Einstein-Maxwell-axion-dilaton gravity
• Classification of static black holes in Einstein phantom/dilaton Maxwell/anti-Maxwell gravity systems
• Uniqueness of dilaton Melvin-Schwarzschild solution
• Mass angular momentum and charge inequalities for black holes in Einstein-Maxwell-axion-dilaton gravity
• Static black holes and strictly static spacetimes in Einstein-Gauss-Bonnet gravity with gauge field
• Uniqueness of dark matter magnetized static black hole spacetime
• Uniqueness of photon sphere for Reissner-Nordström electric-magnetic system
• Higher-dimensional electric-magnetic photon sphere uniqueness
• New Horizons in Effective Field Theory?
• Uniqueness of electric-magnetic spacetimes with massive particle