Einstein-Bumblebee引力理论中的Kerr-Sen-like黑洞玻色子隧穿辐射  

Tunneling radiation of bosons from the Kerr-Sen-like black hole by Einstein-Bumblebee gravitational theory

作　　者：谭霞 杨树政[2] Tan Xia;Yang Shu-Zheng(College of Physics and Electronic Engineering,Qilu Normal University,Jinan 250200,China;College of Physics and Space Science,China West Normal University,Nanchong 637002,China)

机构地区：[1]齐鲁师范学院物理与电子工程学院,济南250200 [2]西华师范大学物理与天文学院,南充637002

出　　处：《物理学报》2024年第4期60-68,共9页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:12373109)资助的课题.

摘　　要：Lorentz-breaking理论不仅对弯曲时空背景有影响,而且对于在弯曲时空中的玻色子和费米子的动力学方程都有一定的修正.因此,我们需要在不同的黑洞时空中对玻色子和费米子的量子隧穿辐射进行适当的修正.从而得到经过Lorentz-breaking理论修正后的黑洞Hawking温度等物理量的新表达式及其物理意义.本文根据Einstein-Bumblebee引力理论中得到的Kerr-Sen-like(KSL)黑洞时空度规,在标量场作用量中引入aether-like场矢量修正项和弯曲时空中的d’Alembert算符并应用弯曲时空中的变分原理,研究了此时空度规中的Lorentz-breaking修正项及KSL时空中自旋为零的含有Lorentz-breaking修正项的玻色子动力学方程的新形式.通过正确选择与KSL时空度规相对应的aether-like场矢量,求解修正的玻色子动力学方程,得到了修正的量子隧穿率,并在此基础上研究了含有Lorentz-breaking修正项的此黑洞的Hawking温度和Bekenstein-Hawking熵.此外,还研究了Lorentz-breaking效应对玻色子正、负能级分布及其能级交错的最大值的影响,从而得出此黑洞时空中的量子非热辐射的条件.最后对所得到的一系列结果的物理意义进行了深入的讨论.Lorentz-breaking theory not only affects the curved space-time background,but also corrects the dynamic equations of bosons and fermions in curved space-time to some extent.Therefore,we need to make appropriate corrections to the quantum tunneling radiation of bosons and fermions in different black hole spacetimes.New expressions of black hole Hawking temperature and other physical quantities modified by Lorentz-breaking theory and their physical meanings are obtained.According to the Kerr-Sen-like(KSL)black hole spacetime metric obtained from Einstein-Bumblebee gravitational theory,by introducing the correction term of the aether-like field vector into the scalar field action and the d’Alembert operator in curved spacetime,and applying the variational principle to curved spacetime,the Lorentz-breaking correction term in the spacetime metric and the new form of the dynamic equation of the bosons with zero spin in KSL spacetime are studied.By correctly selecting the aether-like field vector corresponding to the KSL spacetime metric and solving the modified bosons dynamic equation,the modified quantum tunneling rate is obtained.On this basis,the Hawking temperature and the Bekenstein-Hawking entropy of the black hole with Lorentz-breaking correction term are studied.The effects of Lorentz-breaking theory on the distribution of positive and negative energy levels of bosons and the maximum crossing of energy levels are also studied,and then the condition of quantum non-thermal radiation in the black hole space-time is studied.Finally,the physical significance of a series of results obtained in this work is discussed in depth.The results show that the modified form of the bosons dynamic equation in curved spacetime,with Lorentz-breaking theory taken into account,is shown in Eqs.(26)and(27).The new expressions of the quantum tunneling rate,Bekenstein-Hawking entropy,Hawking temperature and quantum non-thermal radiation energy range of KSL black hole are obtained by applying Eq.(26)to KSL black hole space-time.These r

关 键 词：Lorentz-breaking Einstein-Bumblebee引力理论 Kerr-Sen-like黑洞 Bekenstein-Hawking熵 

分 类 号：O412.1[理学—理论物理]