Strong cosmic censorship conjecture for a charged BTZ black hole

被引:6
作者
Singha, Chiranjeeb [1 ]
Chakraborty, Sumanta [2 ]
Dadhich, Naresh [3 ]
机构
[1] Saha Inst Nucl Phys, Theory Div, Kolkata 700064, India
[2] Indian Assoc Cultivat Sci, Sch Phys Sci, Kolkata 70032, India
[3] IUCAA, Post Bag 4, Pune 411007, Maharashtra, India
关键词
Black Holes; Spacetime Singularities;
D O I
10.1007/JHEP06(2022)028
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
The strong cosmic censorship conjecture, whose validation asserts the deterministic nature of general relativity, has been studied for charged BTZ black holes in three dimensional general relativity, as well as for Nth order pure Lovelock gravity in d=2N+1 spacetime dimensions. Through both analytical and numerical routes, we have computed the ratio of the imaginary part of the quasi-normal mode frequencies with the surface gravity at the Cauchy horizon. The lowest of which corresponds to the key parameter associated with violation of strong cosmic censorship conjecture. Our results demonstrate that this parameter is always less than the critical value (1/2), thereby respecting the strong cosmic censorship conjecture. This is in complete contrast to the four or, higher dimensional black holes, as well as for rotating BTZ black hole, where the violation of strong cosmic censorship conjecture exists. Implications and possible connection with the stability of the photon orbits have been discussed.
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页数:21
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