标题： 新旋转黑洞解在$f(R)$引力中具有非完美流体能量-动量张量 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： 我们发现了一类新的精确解，适用于存在非理想流体情况下的$f(R)$重力中的旋转黑洞。 我们发现这些精确解在全息上与一个隐藏的共形场论相对偶。 此外，我们考虑了另一类精确解，适用于$f(R)$重力中的旋转黑洞，这些解是通过对$f(R)$重力中静态球对称解进行洛伦兹boost变换得到的。 我们还发现，这些被boost的精确解在全息上与一个隐藏的共形场论相对偶。 通过比较两个共形场论的CFT温度和模式数，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温度和模式数来区分。 相对于真空boosted旋转黑洞，存在物质时的旋转黑洞具有更高的CFT温度和更高的CFT模式数”。 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".