论文标题
Kruskal几何形状的近期量子扩展的性能
Properties of a recent quantum extension of the Kruskal geometry
论文作者
论文摘要
最近表明，在循环量子重力激励的有效描述中，克鲁斯卡时空的奇异性自然解决[1,2]。在本说明中，我们探讨了该量子校正有效度量的一些属性。特别是，我们（i）计算与有效几何形状的地平线相关的鹰温度，并表明对温度的量子校正对于宏观黑洞完全可以忽略不计，就像人们希望的那样； （ii）讨论与时空度量标准的渐近特性相关的微妙之处，并表明该度量在精确的意义上是渐近平坦的； （iii）分析弯曲的渐近衰减；并且（iv）表明，即使曲率降低的速度差于标准的渐近平坦背景，ADM能量的定义明确（并且与地平线区域确定的能量都一致）。
Recently it was shown that, in an effective description motivated by loop quantum gravity, singularities of the Kruskal space-time are naturally resolved [1,2]. In this note we explore a few properties of this quantum corrected effective metric. In particular, we (i) calculate the Hawking temperature associated with the horizon of the effective geometry and show that the quantum correction to the temperature is completely negligible for macroscopic black holes, just as one would hope; (ii) discuss the subtleties associated with the asymptotic properties of the space-time metric, and show that the metric is asymptotically flat in a precise sense; (iii) analyze the asymptotic fall-off of curvature; and, (iv) show that the ADM energy is well-defined (and agrees with that determined by the horizon area), even though the curvature falls off less rapidly than in the standard asymptotically flat context.
