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Yazadjiev, Stoytcho; Lazov, Boian, E-mail: yazad@phys.uni-sofia.bg2015
AbstractAbstract
[en] We consider the problem of uniqueness of static and asymptotically flat Einstein–Maxwell spacetimes with a photon sphere P3. We are using a naturally modified definition of a photon sphere for electrically charged spacetimes with the additional property that the one-form is normal to the photon sphere. For simplicity we are restricting ourselves to the case of zero magnetic charge and assume that the lapse function regularly foliates the spacetime outside the photon sphere. With this information we prove that P3 has constant mean curvature and constant scalar curvature. We also derive a few equations which we later use to prove the main uniqueness theorem, i.e. the static asymptotically flat Einstein–Maxwell spacetimes with a non-extremal photon sphere are isometric to the Reissner–Nordström one with mass M and electric charge Q subject to . (paper)
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Available from http://dx.doi.org/10.1088/0264-9381/32/16/165021; Country of input: International Atomic Energy Agency (IAEA)
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