标题： 旋转的BTZ类似黑洞和爱因斯坦-蝴蝶引力中的中心电荷 显示英文标题

标题： Rotating BTZ-like black hole and central charges in Einstein-bumblebee gravity

摘要： 我们通过求解相应的引力场方程和爱因斯坦-蜂鸟引力理论中的蜂鸟运动方程，得到了一个精确的旋转BTZ类似黑洞解。结果表明，纯粹的径向洛伦兹对称性破缺只能在蜂鸟场的线性泛函势下存在。这个黑洞有两个视界和一个能层，它们依赖于蜂鸟耦合常数$\ell$。由于蜂鸟场与里奇张量之间的耦合的非平凡贡献，在这种LV时空下必须重新定义视界的面积和体积概念。只有这样，才能构建熵-面积关系、热力学第一定律和Smarr公式。我们还研究了该黑洞的AdS/CFT对应关系，发现其内视界和外视界的熵乘积是普遍的。因此，可以通过热力学方法获得边界上对偶CFT的中心电荷，它们可以重新呈现体内的黑洞质量与角动量。 显示英文摘要

摘要： We obtain an exact rotating BTZ-like black hole solution by solving the corresponding gravitational field equations and the bumblebee motion equations in Einstein-bumblebee gravity theory. Result is presented for the purely radial Lorentz symmetry violating and can only exist with a linear functional potential of the bumblebee field. This black hole has two horizons and an ergosphere which are dependent on the bumblebee coupling constant $\ell$. The concepts of the area and volume of the horizon should be renewed in this LV spacetime due to the nontrivial contribution of coupling between the bumblebee field and the Ricci tensor. Only in this way, the entropy-area relation, first law of thermodynamics and the Smarr formula can still be constructed. We also study the AdS/CFT correspondence of this black hole, find that the entropy product of its inner and outer horizons is universal. So the central charges of the dual CFT on the boundary can be obtained via the thermodynamic method, and they can reappear black hole mass and angular momentum in the bulk.