English

Charged slowly rotating toroidal black holes in the (1+3)-dimensional Einstein-power-Maxwell theory

General Relativity and Quantum Cosmology 2018-09-05 v3

Abstract

In this work we find charged slowly rotating solutions in the four-dimensional Einstein-power-Maxwell non-linear electrodynamics assuming a negative cosmological constant. By solving the system of coupled field equations explicitly we obtain an approximate analytical solution in the small rotation limit. The solution obtained is characterized by a flat horizon structure, and it corresponds to a toroidal black hole. The Smarr's formula, the thermodynamics and the invariants Ricci scalar and Kretschmann scalar are briefly discussed.

Keywords

Cite

@article{arxiv.1808.05171,
  title  = {Charged slowly rotating toroidal black holes in the (1+3)-dimensional Einstein-power-Maxwell theory},
  author = {Grigoris Panotopoulos and Angel Rincon},
  journal= {arXiv preprint arXiv:1808.05171},
  year   = {2018}
}

Comments

v3: References added