Volume 117, Number 6, March 2017
|Number of page(s)||7|
|Published online||23 May 2017|
Quantum-mechanical corrections to the Schwarzschild black-hole metric
1 Departamento de Fisica, Universidad de los Andes - Cra.1E No.18A-10, Bogota, Colombia
2 Department of Mathematics, University of West Indies - Kingston 6, Jamaica
3 Department of Mathematics, Khalifa University of Science and Technology, Petroleum Institute - P.O. Box 2533, Abu Dhabi United Arab Emirates
Received: 11 April 2017
Accepted: 4 May 2017
Motivated by quantum-mechanical corrections to the Newtonian potential, which can be translated into a -correction to the g00 component of the Schwarzschild metric, we construct a quantum-mechanically corrected metric assuming . We show how the Bekenstein black-hole entropy S receives its logarithmic contribution provided the quantum-mechanical corrections to the metric are negative. In this case the standard horizon at the Schwarzschild radius rS increases by small terms proportional to and a remnant of the order of Planck mass emerges.
PACS: 04.60.Bc – Phenomenology of quantum gravity / 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics
© EPLA, 2017
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