标题： 带有非理想流体能量-动量张量的新旋转黑洞解在$f(R)$引力中 显示英文标题

标题： New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity

摘要： 我们在存在非理想流体的情况下，发现了旋转黑洞在$f(R)$引力中的一个新的精确解类。 我们发现这些精确解全息对应于一个隐藏的共形场理论。 此外，我们考虑了在$f(R)$引力中旋转黑洞的另一类精确解，该解是通过对$f(R)$引力中的静态球对称解进行洛伦兹提升变换得到的。 我们还发现，提升后的精确解全息对应于一个隐藏的共形场理论。 通过比较两个共形场理论的CFT温度和模数，我们提出一个猜想：“在$f(R)$理论中，两个相同的旋转黑洞（相同质量和视界）可以通过观察它们对应的CFT温度来区分，以及对应的CFT模数。 与真空提升旋转黑洞相比，存在物质的旋转黑洞具有更高的CFT温度和更高的CFT模数。” 显示英文摘要

摘要： We find a new class of exact solutions for rotating black holes in $f(R)$ gravity in presence of imperfect fluid. We find that the exact solutions are holographically dual to a hidden conformal field theory. Moreover we consider another class of exact solutions for rotating black holes in $f(R)$ gravity, which is obtained through a Lorentz boost transformation on a static spherical symmetry solutions in $f(R)$ gravity. We also find that the boosted exact solutions are holographically dual to a hidden conformal field theory. Comparing the CFT temperatures and the mode numbers of the two CFTs, we suggest a conjecture that, "Two identical rotating black holes (the same mass and the horizon) in $f(R)$ theory could be distinguished by looking at their dual CFT temperatures, and the dual CFT mode numbers. The rotating black hole in the presence of matter has higher CFT temperatures and higher CFT mode numbers, compared to the vacuum boosted rotating black hole".