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Uniqueness of photon sphere for Einstein-Maxwell-dilaton black holes with arbitrary coupling constant
Published 10 Feb 2016 in hep-th and gr-qc | (1602.03270v1)
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.
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