Slowly rotating Einstein-bumblebee black hole solution and its greybody factor in a Lorentz violation model

• 来源期刊: 中国物理C（英文版）
• 年，卷（期）: 2021,（2）
• 所属期刊栏目: PARTICLE AND NUCLEAR ASTROPHYSICS AND COSMOLOGY
• 页码范围: 588-597
• 页数: 10页
• 语种: 英文
• DOI: 10.1088/1674-1137/abce51

摘要

We obtain an exact slowly rotating Einstein-bumblebee black hole solution by solving the correspond-ing rr and t0 components of the gravitational field equations for both cases:A)bμ=(0,b(r),0,0)andB)bv=(0,b(r),b(d),0).Then,we check the other gravitational field equations and the bumblebee field motion equations using this solution.We find that for case A,there indeed exists a slowly rotating black hole solution for an arbitrary LV(Lorentz violation)coupling constant t;however,for case B,this slowly rotating solution exists if and only if coup-ling constant t is as small as or smaller than angular momentum a.Thus far,no full rotating black hole solution has been published;hence,the Newman-Janis algorithm cannot be used to generate a rotating solution in the Einstein-bumblebee theory.This is similar to the Einstein-aether theory,wherein only some slowly rotating black hole solu-tions exist.To study the effects of this broken Lorentz symmetry,we consider the black hole greybody factor and find that,for angular index l = 0,LV constant t decreases the effective potential and enhances the absorption prob-ability,which is similar to the results for the non-minimal derivative coupling theory.