Abstract
In this article we deduce the generalized Klein–Gordon Equation in curved spacetime in the presence of an electromagnetic field from first principles, using the generalized uncertainty principle. Using this equation we study the tunneling of scalar particles from a Kerr–Newman black hole. Corrections to the Hawking temperature and entropy of the black hole due to quantum gravity effects are discussed.
Highlights
In early 1970s the mathematical discovery of black hole area theorem gave a hint that there might be a relation between black hole and thermodynamics [1,2,3]
In this paper we study the effects of quantum gravity influenced by the Generalized Uncertainty Principle (GUP) and investigate the tunneling of scalar particles across the horizon of a Kerr–Newman black hole by using the Hamilton–Jacobi ansatz
In this work we have obtained the generalized Klein-Gordon Equation in curved space-time in the presence of an electromagnetic field by employing the generalized uncertainty principle. We use this generalized equation to study the effects of quantum gravity to the tunneling of charged scalar particles from Kerr–Newman black hole
Summary
In early 1970s the mathematical discovery of black hole area theorem gave a hint that there might be a relation between black hole and thermodynamics [1,2,3]. In their method the potential barrier is created by the outgoing particle and the radial null geodesic method in semiclassical WKB approximation is used They showed that a correction to the Hawking radiation spectrum appears when the backreaction effect of the tunneling particle is taken into account. Their method has been extended to other black holes [14,15,16,17,18,19]. In this paper we study the effects of quantum gravity influenced by the Generalized Uncertainty Principle (GUP) and investigate the tunneling of scalar particles across the horizon of a (non-extremal) Kerr–Newman black hole by using the Hamilton–Jacobi ansatz. Garay [39], in a series of arguments, showed that x
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