English

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

General Relativity and Quantum Cosmology 2012-07-26 v3 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1010.2340,
  title  = {2+1-dimensional electrically charged black holes in Einstein - Power Maxwell Theory},
  author = {O. Gurtug and S. Habib Mazharimousavi and M. Halilsoy},
  journal= {arXiv preprint arXiv:1010.2340},
  year   = {2012}
}

Comments

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

R2 v1 2026-06-21T16:27:13.385Z