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Dirac particles tunneling from black holes with topological defects. (English) Zbl 1381.83081

Summary: We study Hawking radiation of Dirac particles with spin-1/2 as a tunneling process from Schwarzschild-de Sitter and Reissner-Nordström-de Sitter black holes in background spacetimes with a spinning cosmic string and a global monopole. Solving Dirac’s equation by employing the Hamilton-Jacobi method and WKB approximation we find the corresponding tunneling probabilities and the Hawking temperature. Furthermore, we show that the Hawking temperature of those black holes remains unchanged in presence of topological defects in both cases.

MSC:

83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism
81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
54F65 Topological characterizations of particular spaces
83C40 Gravitational energy and conservation laws; groups of motions
83C57 Black holes
83C47 Methods of quantum field theory in general relativity and gravitational theory
81T20 Quantum field theory on curved space or space-time backgrounds
83C10 Equations of motion in general relativity and gravitational theory
70H20 Hamilton-Jacobi equations in mechanics

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