论文标题
CFT双重旋转带电的黑洞被精髓包围
CFT Duals on Rotating Charged Black Holes Surrounded by Quintessence
论文作者
论文摘要
我们证明，可以将Kerr/CFT二元性扩展到旋转带电的黑洞溶液，并在Rastall Gravity中被精髓所包围。由于rastall重力可以被认为是$ f（r，t）= r +βt$理论，并增加了物质项，因此重力拉格朗日与爱因斯坦的一般相对论相似。实际上，由于$ t $只是事项术语的痕迹，因此所得的中心术语与中心术语一致。然后，我们表明，该黑洞的CFT熵与Bekenstein-Hawking熵相当，没有与Rastall耦合常数相关的校正。此外，当rastall耦合常数$κλ$关闭并且$ a $接近零时，我们可能会将解决方案扩展到5D黑洞解决方案。发现该极值解决方案包含两倍的CFT双重，我们称之为$ Q $ - picture和$ p $ picture。在这两张图片中，CFT熵都精确地重现了Reissner-Nordström黑洞的Bekenstein-Hawking熵，周围是精髓。结果表明，对于被精髓包围的所有黑洞，双CFT的微观熵与Bekenstein-Hawking熵一致。
We demonstrate that Kerr/CFT duality can be extended to rotating charged black hole solution surrounded by quintessence in Rastall gravity. Since Rastall gravity can be considered as $F(R,T) = R + βT $ theory with the addition of a matter term, so the gravitational Lagrangian is resemblant to Einstein general relativity. In fact, the resulting central term is coincident to the central term in the general relativity since $ T $ is only a trace of the matter term. We then exhibit that the entropy from CFT of this black hole is equivalent with the Bekenstein-Hawking entropy with no correction related to the Rastall coupling constant. Moreover, when Rastall coupling constant $ κλ$ is switched off and $ a $ is approaching zero, we may extend the solution to the 5D black hole solution. It is found that this extremal solution contains twofold CFT duals that we call as $Q$-picture and $ P $-picture. In both pictures, the CFT entropy reproduces exactly the Bekenstein-Hawking entropy for Reissner-Nordström black hole surrounded by quintessence. The results establish that, for all black holes surrounded by quintessence, the microscopic entropies of the dual CFTs agree with the Bekenstein-Hawking entropies.
