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Magnetized black holes and black rings in the higher dimensional dilaton gravity
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abstract
In this paper we consider magnetized black holes and black rings in the higher dimensional dilaton gravity. Our study is based on exact solutions generated by applying a Harrison transformation to known asymptotically flat black hole and black ring solutions in higher dimensional spacetimes. The explicit solutions include the magnetized version of the higher dimensional Schwarzschild-Tangherlini black holes, Myers-Perry black holes and five dimensional (dipole) black rings. The basic physical quantities of the magnetized objects are calculated. We also discuss some properties of the solutions and their thermodynamics. The ultrarelativistic limits of the magnetized solutions are briefly discussed and an explicit example is given for the $D$-dimensional magnetized Schwarzschild-Tangherlini black holes.
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Magnetising de Sitter and Anti-de Sitter spacetimes
A Harrison-type map plus fluid rescaling produces spherical Melvin analogues of dS and AdS that reduce to ordinary (A)dS when the magnetic field vanishes.
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