可重整化量子引力中的旋转黑洞:三维Hoguanava引力情形
The Rotating Black Hole in Renormalizable Quantum Gravity: The Three-Dimensional Hořava Gravity Case
摘要:
最近,霍洛维茨娃提出了一个可重整化的量子引力,没有鬼的问题,放弃了爱因斯坦的平等的处理空间和时间,通过各向异性标度尺寸。从那时起,各种有趣的方面,包括精确的黑洞解已被研究,但没有“旋转”的黑洞解已被发现,除了一些限制情况。为了填补这个空白,我考虑了一个更简单的三维设置,z=2,并获得精确的旋转黑洞解。这个解在外视界内部有一个环曲率奇点,就像爱因斯坦引力中的四维克尔黑洞一样,同时在原点也有一个曲率奇点。通常的质量约束在这里也起作用,但以一种修改的形式。此外,还证明了在通常的Hawking温度和化学势下,传统的热力学第一定律不起作用,这似乎是由于缺少绝对视界而导致的Lorentz破坏引力的真实效应.
英文摘要:
Recently Hořava proposed a renormalizable quantum gravity, without the ghost problem, by abandoning Einstein's equal-footing treatment of space and time through the anisotropic scaling dimensions. Since then various interesting aspects, including the exact black hole solutions have been studied but no "rotating" black hole solutions have been found yet, except some limiting cases. In order to fill the gap, I consider a simpler three-dimensional set-up with z=2 and obtain the exact rotating black hole solution. This solution has a ring curvature singularity inside the outer horizon, like the four- dimensional Kerr black hole in Einstein gravity, as well as a curvature singularity at the origin. The usual mass bound works also here but in a modified form. Moreover, it is shown that the conventional first law of thermodynamics with the usual Hawking temperature and chemical potential does not work, which seems to be the genuine effect of Lorentz-violating gravity due to lack of the absolute horizon.
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