English

Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy

General Relativity and Quantum Cosmology 2016-08-03 v1

Abstract

In this work we construct several black hole metrics which are consistent with the generalized uncertainty principle logarithmic correction to the Bekenstein-Hawking entropy formula. After preserving the event horizon at the usual position, a singularity at the Planck scale is found. Finally, these geometries are shown to be realized by certain model of nonlinear electrodynamics, which resembles previously studied regular black hole solutions.

Keywords

Cite

@article{arxiv.1606.07281,
  title  = {Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy},
  author = {Ernesto Contreras and Fabián D. Villalba and Pedro Bargueño},
  journal= {arXiv preprint arXiv:1606.07281},
  year   = {2016}
}

Comments

Accepted in EPL (2016)