Topological classification via winding numbers of a vector field from generalized off-shell free energy shows regular Bardeen black holes have two opposite defects and zero total charge while Schwarzschild has one unstable branch.
Quantum Corrections for a Bardeen Regular Black Hole
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abstract
In this paper, we study the quantum corrections to the thermodynamical quantities (temperature and entropy) for a Bardeen charged regular black hole by using a quantum tunneling approach over semiclassical approximations. Taking into account the quantum effects, the semiclassical Bekenstein-Hawking temperature and the area law are obtained, which are then used in the first law of thermodynamics to evaluate corrections to these quantities. It is interesting to mention here that these corrections reduce to the corresponding corrections for the Schwarzschild black hole when the charge $e=0$.
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Topological Thermodynamics of Generalized Bardeen Black Hole
Topological classification via winding numbers of a vector field from generalized off-shell free energy shows regular Bardeen black holes have two opposite defects and zero total charge while Schwarzschild has one unstable branch.