Copernicus Astronomical Center, ul. Bartycka 18, 00-716 Warszawa, Poland and Department of Physics, University of Gothenburg, SE-412-96 Göteborg, Sweden.
Copernicus Astronomical Center, ul. Bartycka 18, 00-716 Warszawa, Poland.
Phys Rev Lett. 2014 Mar 7;112(9):091301. doi: 10.1103/PhysRevLett.112.091301. Epub 2014 Mar 3.
Quantum entanglement of Hawking radiation has been supposed to give rise to a Planck density "firewall" near the event horizon of old black holes. We show that Planck density firewalls are excluded by Einstein's equations for black holes of mass exceeding the Planck mass. We find an upper limit of 1/(8πM) to the surface density of a firewall in a Schwarzschild black hole of mass M, translating for astrophysical black holes into a firewall density smaller than the Planck density by more than 30 orders of magnitude. A strict upper limit on the firewall density is given by the Planck density times the ratio M(Pl)/(8πM).
霍金辐射的量子纠缠被认为会在旧黑洞的事件视界附近产生普朗克密度“防火墙”。我们表明，普朗克密度防火墙被质量超过普朗克质量的黑洞的爱因斯坦方程排除在外。我们发现，在质量为 M 的史瓦西黑洞中，防火墙的表面密度上限为 1/(8πM)，将其转换为天体物理黑洞，防火墙密度小于普朗克密度超过 30 个数量级。防火墙密度的严格上限由普朗克密度乘以 M(Pl)/(8πM) 的比值给出。
