Study on the Influence of Lorentz Dispersion Relation on Fermions Tunneling Radiation of Kerr-TAUB-NUT Black Hole
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Study on the Influence of Lorentz Dispersion Relation on Fermions Tunneling Radiation of Kerr-TAUB-NUT Black Hole Tin-Ping Liu1 · Qun-Chao Ding1 · Shu-Zheng Yang2 Received: 19 November 2019 / Accepted: 27 March 2020 / © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract In this paper, by applying the correction of Lorentz dispersion relation, the fermion tunneling radiation of the stationary axisymmetric Kerr-TAUB-NUT black hole in curved space-time is studied. Based on the modified Lorentz dispersion relation, the revised RaritaSchwinger equation has been obtained. Then, we get the dynamic equation of fermions via semi-classical theory, which is the modified Hamilton-Jacobi equation. So at the event horizon the tunneling radiation in the space-time of stationary axisymmetric Kerr-TAUB-NUT black hole has been effectively investigated. At last, the modified tunneling radiation and Hawking temperature have been obtained in the same space-time.
1 Introduction In 1915, Einstein established the theory of general relativity. In the theory, Einstein predicted the existence of black holes. Black holes divided into three types: static, steady state and dynamic. However, the black holes in the universe shown dynamic due to the effects of radiation and accretion. Therefore, general relativity not only involved time, space and gravitational fields, but also the curvature of space-time and the motion characteristics of particles in curved space-time. Over the past 100 years, with the continuous research and development of black hole physics, super-string theory and quantum gravitational field, general relativity has become a widely concerned theory. In 1974, Hawking proved the thermal radiation[1, 2, 4, 13]. As a basic thermodynamic theory, Hawking radiation ingeniously
Tin-Ping Liu
[email protected] Qun-Chao Ding [email protected] Shu-Zheng Yang [email protected] 1
School of sciences, Southwest Petroleum University, Chengdu, 610500, China
2
Physics and Space Science College, China West Normal University, Nanchong, 637009, China
International Journal of Theoretical Physics
links general relativity, quantum theory, thermodynamic theory and statistical physics theory. Therefore, Hawking used the quantum field theory and shown that the black hole was not only inaccessible. Due to the vacuum fluctuation at the black hole, positive and negative particles were generated. However, only the negative particle absorbed by the black hole. The positive particle left outside the black hole at the event horizon under the background of curved space-time then moved to infinity, thus forming hawking radiation. Subsequently, a series of studies on the Hawking radiation showed that Hawking radiation caused the black hole to collapse and form information loss. Parikh and Wilczek et al. [3, 5, 7, 9], used semi-classical tunneling methods to prove that only static and steady-state black holes are conserved before and after radiation, when considering the conservation of black hole energy and the variation of black
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