Quantum state of the black hole interior

被引:13
|
作者
Brustein, Ram [1 ]
Medved, A. J. M. [2 ,3 ]
机构
[1] Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel
[2] Rhodes Univ, Dept Phys & Elect, ZA-6140 Grahamstown, South Africa
[3] Natl Inst Theoret Phys NITheP, ZA-7602 Western Cape, South Africa
来源
基金
以色列科学基金会;
关键词
Black Holes; Models of Quantum Gravity; INFORMATION; ENTROPY;
D O I
10.1007/JHEP08(2015)082
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
If a black hole (BH) is initially in an approximately pure state and it evaporates by a unitary process, then the emitted radiation will be in a highly quantum state. As the purifier of this radiation, the state of the BH interior must also be in some highly quantum state. So that, within the interior region, the mean-field approximation cannot be valid and the state of the BH cannot be described by some semiclassical metric. On this basis, we model the state of the BH interior as a collection of a large number of excitations that are packed into closely spaced but single-occupancy energy levels; a sort-of "Fermi sea" of all light-enough particles. This highly quantum state is surrounded by a semiclassical region that lies close to the horizon and has a non-vanishing energy density. It is shown that such a state looks like a BH from the outside and decays via gravitational pair production in the near-horizon region at a rate that agrees with the Hawking rate. We also consider the fate of a classical object that has passed through to the BH interior and show that, once it has crossed over the near-horizon threshold, the object meets its demise extremely fast. This result cannot be attributed to a "firewall", as the trauma to the in-falling object only begins after it has passed through the near-horizon region and enters a region where semiclassical spacetime ends but the energy density is still parametrically smaller than Planckian.
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页数:16
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