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Generalized uncertainty principle and black hole thermodynamics
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Generalized uncertainty principle and black hole thermodynamics
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We study the Schwarzschild and Reissner-Nordstr\"{o}m black hole thermodynamics using the simplest form of the generalized uncertainty principle (GUP) proposed in the literature. The expressions for the mass-temperature relation, heat capacity and entropy are obtained in both cases from which the critical and remnant masses are computed. Our results are exact and reveal that these masses are identical and larger than the so called singular mass for which the thermodynamics quantities become ill-defined. The expression for the entropy reveals the well known area theorem in terms of the horizon area in both cases upto leading order corrections from GUP. The area theorem written in terms of a new variable which can be interpreted as the reduced horizon area arises only when the computation is carried out to the next higher order correction from GUP.
Forward citations
Cited by 3 Pith papers
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A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics
Cubic entropy corrections from the MDR ηE³/E_P leave Schwarzschild black holes with a single physical branch of winding number W=−1; the would-be stable root is unphysical.
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A winding number analysis of Schwarzschild black hole stability in light of Planck-scale modified kinematics
For the cubic entropy correction S=πr_h²−αr_h³ arising from a Planck-scale modified dispersion relation, all physically allowed Schwarzschild-like branches have winding number w=−1, so no stable phase appears.
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Topological Signatures and Geometrothermodynamics of Critical Phenomena in Regularized Maxwell Black Holes
For RegMax-AdS black holes, the dimensionless combination α²|Q| separates a stable small-black-hole regime with an intermediate phase (α²|Q| > 1) from an unstable small-black-hole regime with simple first-order coexis...
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