Uniqueness of photon sphere for Einstein-Maxwell-dilaton black holes with arbitrary coupling constant

Abstract

The uniqueness of static asymptotically flat photon sphere for static black hole solution in Einstein-Maxwell-dilaton theory with arbitrary coupling constant was proposed. Using the conformal positive energy theorem we show that the dilaton sphere subject to the non-extremality condition authorizes a cylinder over a topological sphere.

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

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• Dynamical photon sphere and time evolving shadow around black holes with temporal accretion
• Metamorphoses of a photon sphere
• Photon trapping in static axially symmetric spacetime
• Uniqueness of static photon surfaces: Perturbative approach
• Photon surfaces as pure tension shells: Uniqueness of thin shell wormholes
• Photon surfaces in less symmetric spacetimes
• Photon regions and umbilic conditions in stationary axisymmetric spacetimes
• Killing tensors and photon surfaces in foliated spacetimes
• On uniqueness of static spacetimes with non-trivial conformal scalar field
• Slice-reducible conformal Killing tensors, photon surfaces and shadows
• Classification of static asymptotically flat spacetimes with a photon sphere in Einstein-multiple-scalar field theory
• Classification of static black holes in Einstein phantom/dilaton Maxwell/anti-Maxwell gravity systems
• Uniqueness of photon sphere for Reissner-Nordström electric-magnetic system
• Black Hole and Equipotential Photon Surface Uniqueness in 4-dimensional Asymptotically Flat Electrostatic Electro-Vacuum Spacetimes
• Higher-dimensional electric-magnetic photon sphere uniqueness
• Uniqueness of electric-magnetic spacetimes with massive particle