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

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

2010-10-12

arxiv.org/abs/1010.2340v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, Major revision, new references are added, no figure, to appear in PRD

Scientific paper

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 1/21 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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