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2+1-dimensional electrically charged black holes in Einstein - Power Maxwell Theory

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arxiv 1010.2340 v3 pith:4OOF2QUC submitted 2010-10-12 gr-qc hep-th

classification gr-qchep-th
keywords dimensionalthermodynamicblackmaxwellpowerpropertiessolutionsaccording
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A large family of new black hole solutions in 2+1-dimensional Einstein-Power-Maxwell (EPM) gravity with prescribed physical properties is derived. We show with particular examples that according to the power parameter k of the Maxwell field, the obtained solutions may be asymptotically flat for 1/2<k<1 or non-flat for k>1 in the vanishing cosmological constant limit. We study the thermodynamic properties of the solution with two different models and it is shown that thermodynamic quantities satisfy the first law. The behaviour of the heat capacity indicates that by employing the 1+1-dimensional dilaton analogy the local thermodynamic stability is satisfied.

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  1. New exact traversable wormhole solution to the Einstein-scalar-Gauss-Bonnet Equations coupled to a power-Maxwell electrodynamics

    gr-qc 2019-08 conditional novelty 7.0 of 10

    A two-parameter exact traversable wormhole solution is constructed in Einstein-scalar-Gauss-Bonnet theory with power-Maxwell electrodynamics, recovering the Ellis wormhole when the electric charge vanishes.

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