论文标题
II型最小化重力中的黑洞
Black holes in a type-II minimally modified gravity
论文作者
论文摘要
在最近提出的II型最低修改的重力理论的背景下，即具有两个局部物理自由度的重力理论，该理论不具有爱因斯坦框架，我们研究了球形对称真空解决方案，以探索强力级。尽管重力部门缺乏额外的自由度，但真空解决方案与Schwarzschild或Schwarzschild-（a）DS ds度量的局部不同，因此Birkhoff定理不存在。通用解决方案通过几个免费的时间功能进行参数化，并接受常规捕获和事件范围。根据时间的自由功能的选择，无效的收敛条件可能会在真空中违反。即使在静态极限下，该极限中的解决方案也减少了Schwarzschild或Schwarzschild-（a）DS溶液，但从解决方案中得出的有效宇宙常数与动作确定的宇宙学价值一般不同。尽管如此，一旦强加了一组合适的渐近条件，以使溶液代表相应的宇宙学设置中的紧凑物体，则恢复了标准的Schwarzschild或Schwarzschild-（a）DS度量，并恢复与从动作中推论的有效宇宙学恒定恒定的恒定恒定同意。
In the context of the recently proposed type-II minimally modified gravity theory, i.e. a metric theory of gravity with two local physical degrees of freedom that does not possess an Einstein frame, we study spherically symmetric vacuum solutions to explore the strong gravity regime. Despite the absence of extra degrees of freedom in the gravity sector, the vacuum solutions are locally different from the Schwarzschild or Schwarzschild-(A)dS metric in general and thus the Birkhoff theorem does not hold. The general solutions are parameterized by several free functions of time and admit regular trapping and event horizons. Depending on the choice of the free functions of time, the null convergence condition may be violated in vacuum. Even in the static limit, while the solutions in this limit reduce to the Schwarzschild or Schwarzschild-(A)dS solutions, the effective cosmological constant deduced from the solutions is in general different from the cosmological value that is determined by the action. Nonetheless, once a set of suitable asymptotic conditions is imposed so that the solutions represent compact objects in the corresponding cosmological setup, the standard Schwarzschild or Schwarzschild-(A)dS metric is recovered and the effective cosmological constant agrees with the value inferred from the action.
