Bardeen regular black hole as a quantum-corrected Schwarzschild black hole

Abstract

Bardeen regular black hole is commonly considered as a solution of general relativity coupled to a nonlinear electrodynamics. In this paper, it is shown that the Bardeen solution may be interpreted as a quantum-corrected Schwarzschild black hole. This new interpretation is obtained by means of a generalized uncertainty principle applied to the Hawking temperature. Moreover, using the regular black hole of Bardeen, it is possible to evaluate the quantum gravity parameter of the generalized uncertainty principle or, assuming the recent upper bounds for such a parameter, to verify an enormous discrepancy between a cosmological constant and that measured by recent cosmological observations $(\sim 10^{120})$.

5 pages. V2 with minor changes. This article is a consequence of arXiv:1801.02661. Published in International Journal of Modern Physics D

References in corpus (5)

• Universality of Quantum Gravity Corrections
• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Thermodynamics of a class of regular black holes with a generalized uncertainty principle
• Entropy of the Schwarzschild black hole to all orders in the Planck length
• Entropy of Reissner-Nordstrom Black Holes with Minimal Length Revisited

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