论文标题
在洛伦兹违规模型中慢慢旋转爱因斯坦爆裂黑洞及其灰体因素
Slowly rotating Einstein-bumblebee black hole solution and its greybody factor in a Lorentz violation model
论文作者
论文摘要
在两种情况下，我们通过求解了重力场方程的相应$ rr $和$ tx $组件，从而获得了精确旋转的爱因斯坦孔洞黑洞解决方案：a，$b_μ=（0，b（r），0,0）$; b，$b_μ=（0，b（r），\ mathfrak {b}（θ），0）$。然后，我们使用该解决方案检查其他重力场方程和大黄蜂场运动方程。我们发现，在a的情况下，确实存在一种缓慢旋转的黑洞解决方案，实际上是用于任意LV（Lorentz违规）耦合常数$ \ ell $的;但是，就像在情况B中一样，存在这种缓慢旋转的解决方案，并且仅当耦合常数$ \ ell $比角动量$ a $小或小时。到目前为止，似乎还没有完全旋转的黑洞解决方案，因此人们无法使用Newman-Janis算法在Einstein Bumblebee理论中生成旋转解决方案。它与爱因斯坦 - 赛理论中的相似之处，那里只有一些缓慢旋转的黑洞溶液。为了研究这种洛伦兹对称性的效果，我们考虑了黑洞灰体因子，发现当角度指数$ l = 0 $时，lv常数$ \ ell $降低了有效的潜力并提高了吸收概率，这与非微衍生的衍生剂理论相似。
We obtain an exact slowly rotating Einstein-bumblebee black hole solution by solving the corresponding $rr$ and $tϕ$ components of the gravitational field equations in both cases: A, $b_μ=(0,b(r),0,0)$; B, $b_μ=(0,b(r),\mathfrak{b}(θ),0)$. Then we check the other gravitational field equations and the bumblebee field motion equations by using this solution. We find that in the case A, there exists a slowly rotating black hole solution indeed for arbitrary LV (Lorentz violation) coupling constant $\ell$; however as in the case B, there exists this slowly rotating solution if and only if the coupling constant $\ell$ is as small as or smaller than the angular momentum $a$. Till now there seems to be no full rotating black hole solution, so one can't use the Newman-Janis algorithm to generate a rotating solution in Einstein-bumblebee theory. It is similar as that in Einstein-aether theory where there exists only some slowly rotating black hole solutions. In order to study the effects of this Lorentz symmetry broken, we consider the black hole greybody factor and find that when angular index $l=0$, the LV constant $\ell$ decreases the effective potential and enhances the absorption probability, which is similar to that of the non-minimal derivative coupling theory.
