The BTZ black hole violates strong cosmic censorship

被引:54
作者
Dias, Oscar J. C. [1 ]
Reall, Harvey S. [2 ]
Santos, Jorge E. [2 ]
机构
[1] Univ Southampton, STAG Res Ctr & Math Sci, Highfield Campus, Southampton SO17 1BJ, Hants, England
[2] Univ Cambridge, Dept Appl Math & Theoret Phys, Wilberforce Rd, Cambridge CB3 0WA, England
关键词
Black Holes; Black Holes in String Theory; AdS-CFT Correspondence; STABILITY; FIELDS;
D O I
10.1007/JHEP12(2019)097
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
We investigate the stability of the inner horizon of a rotating BTZ black hole. We show that linear perturbations arising from smooth initial data are arbitrarily differentiable at the inner horizon if the black hole is sufficiently close to extremality. This is demonstrated for scalar fields, for massive Chern-Simons fields, for Proca fields, and for massive spin-2 fields. Thus the strong cosmic censorship conjecture is violated by a near-extremal BTZ black hole in a large class of theories. However, we show that a weaker "rough" version of the conjecture is respected. We calculate the renormalized energymomentum tensor of a scalar field in the Hartle-Hawking state in the BTZ geometry. We show that the result is finite at the inner horizon of a near-extremal black hole. Hence the backreaction of vacuum polarization does not enforce strong cosmic censorship.
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页数:59
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