Minimal length effects in black hole thermodynamics from tunneling formalism

Abstract

The tunneling formalism in the Hamilton-Jacobi approach is adopted to study Hawking radiation of massless Dirac particles from spherically symmetric black hole spacetimes incorporating the effects of the generalized uncertainty principle. The Hawking temperature is found to contain corrections from the generalized uncertainty principle. Further, we show from this result that the ratio of the GUP corrected energy of the particle to the GUP corrected Hawking temperature is equal to the ratio of the corresponding uncorrected quantities. This result is then exploited to compute the Hawking temperature for more general forms of the uncertainty principle having infinite number of terms. Choosing the coefficients of the terms in the series in a specific way enables one to sum the infinite series exactly. This leads to a Hawking temperature for the Schwarzschild black hole that agrees with the result which accounts for the one loop back reaction effect. The entropy is finally computed and yields the area theorem upto logarithmic corrections.

9 pages Latex, To appear in Int.J.Theo.Phys

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Cited by in corpus (5)

• Quantum Tunneling from the Charged Non-Rotating BTZ Black Hole with GUP
• Black hole thermodynamics and generalized uncertainty principle with higher order terms in momentum uncertainty
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• Generalized relativistic harmonic oscillator in minimal length quantum mechanics
• Hawking radiation and entropy of a BTZ black hole with minimum length