洛伦兹破缺理论与Vaidya黑洞弯曲时空中的Dirac粒子隧穿辐射特征  

Lorentz-violating theory and tunneling radiation characteristics of Dirac particles in curved spacetime of Vaidya black hole

作　　者：蒲瑾 杨树政 林恺 Pu Jin;Yang Shu -Zheng;Lin Kai(College of Physics and Space Science, China West Normal University, Nanchong 637002, China;School of Physics, University of Electronic Science and Technology of China, Chengdu 610054, China;Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics,China University of Geosciences, Wuhan 430074, China;Escola de Engenharia de Lorena, Universidade de Sao Paulo, 12602-810, Lorena, Sao Paulo, Brazil)

机构地区：[1]西华师范大学物理与空间科学学院,南充637002 [2]电子科技大学物理学院,成都610054 [3]中国地质大学(武汉)地球物理与空间信息学院,地球内部多尺度成像湖北省重点实验室,武汉430074 [4]Escola de Engenharia de Lorena, Universidade de Sao Paulo, 12602-810, Lorena, Sao Paulo, Brazil

出　　处：《物理学报》2019年第19期21-26,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11573022,11805166);西华师范大学英才科研基金(批准号:17YC513,17C050)~~

摘　　要：本文把平直时空中的洛伦兹对称性破缺的Dirac方程推广到动态Vaidya黑洞弯曲时空中.由于动态易性质和半经典近似得到了一个新的洛伦兹对称性破缺的 Dirac-Hamilton-Jacobi方程,并利用这一修正的修正.同时,还发现修正 Hawking 温度与类以太矢量修正项系数的正负有关,而我们之前应用洛伦兹破缺理论研究标量粒子的修正 Hawking 温度也是与类以太矢量修正项系数的正负有关的.In this paper, the modified Hawking radiation for Dirac particles via tunneling from the apparent horizon of Vaidya black hole is studied by using the Lorentz-violating Dirac field theory. We first extend the gamma matric from flat spacetime to the curved spacetime in the Lorentz-violating Dirac field theory, and generalize the general derivative to the covariant derivative. Then, by considering the commutative relation of the gamma matric, the Dirac equation in the Lorentz-violating Dirac field theory is obtained, which contains three correction terms related to the Lorentz-symmetry violation. In the semiclassical approximation, the modified Hamilton-Jacobi equation is obtained by using the commutative relation of gamma matric and treating the aether-like vector in the Lorentz-violating theory as a constant. We find that the modified Hamilton-Jacobi equation contains only two correction terms based on the Lorentz-symmetry violation, i.e. the corrected term containing the parameter a affects the mass term of the Dirac field, and the aether-like term containing the parameter c modifies the coefficient term of the action S of the separating variable. According to the modified Hamilton-Jacobi equation, we study the effect of Lorentz-symmetry violation on the characteristics of Hawking radiation for Dirac particles via tunneling from the apparent horizon ra = 2M(v) of Vaidya black hole (the apparent horizon of Vaidya black hole coincides with the timelike limit surface, so the apparent horizon can be regarded as the boundary of Vaidya black hole). Since the Hawking tunneling radiation of black holes is the radial property at the horizon of black holes, we finally find that only the aether-like term containing the parameter c can modify the characteristics of Dirac particles’ tunneling radiation from the black hole. In addition, the corrected Hawking temperature of the black hole caused by considering the effect on the Lorentzviolating Dirac field theory has a small correction related to the aether-like term, which

关 键 词：修正 DIRAC 方程 霍金辐射 HAMILTON-JACOBI 方程 黑洞热力学 

分 类 号：P145.8[天文地球—天体物理]