Giugno Andrea, Giusti Andrea, Helou Alexis
1Arnold Sommerfeld Center, Ludwig-Maximilians-Universität, Theresienstraße 37, 80333 Munich, Germany.
2Dipartimento di Fisica e Astronomia, Università di Bologna, Via Irnerio 46, 40126 Bologna, Italy.
Eur Phys J C Part Fields. 2018;78(3):208. doi: 10.1140/epjc/s10052-018-5715-2. Epub 2018 Mar 13.
We study the extent of quantum gravitational effects in the internal region of non-singular, Hayward-like solutions of Einstein's field equations according to the formalism known as horizon quantum mechanics. We grant a microscopic description to the horizon by considering a huge number of soft, off-shell gravitons, which superimpose in the same quantum state, as suggested by Dvali and Gomez. In addition to that, the constituents of such a configuration are understood as loosely confined in a binding harmonic potential. A simple analysis shows that the resolution of a central singularity through quantum physics does not tarnish the classical description, which is bestowed upon this extended self-gravitating system by General Relativity. Finally, we estimate the appearance of an internal horizon as being negligible, because of the suppression of the related probability caused by the large number of virtual gravitons.
我们根据被称为视界量子力学的形式体系，研究爱因斯坦场方程非奇异、类海沃德解内部区域的量子引力效应程度。按照德瓦利和戈麦斯的建议，我们通过考虑大量处于相同量子态叠加的软的、离壳引力子，赋予视界一个微观描述。除此之外，这种构型的组成部分被理解为松散地束缚在一个束缚谐振势中。一个简单的分析表明，通过量子物理解决中心奇点并不会损害经典描述，而经典描述是由广义相对论赋予这个扩展的自引力系统的。最后，由于大量虚引力子导致相关概率被抑制，我们估计内部视界的出现可以忽略不计。
