Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy
1 Centro de Física Teórica y Computacional, Facultad de Ciencias, Universidad Central de Venezuela AP 47270, Caracas 1041-A, Venezuela
2 Departamento de Física, Universidad de los Andes - Apartado Aéreo 4976, Bogotá, Distrito Capital, Colombia
Received: 7 March 2016
Accepted: 15 June 2016
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 non-linear electrodynamics, which resembles previously studied regular black-hole solutions.
PACS: 04.60.Bc – Phenomenology of quantum gravity / 04.70.-s – Physics of black holes
© EPLA, 2016