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Strong cosmic censorship for a scalar field in an Einstein-Maxwell-Gauss-Bonnet-de Sitter black hole This work is supported in part by NSFC (11005016, 11875196, 11375121)
Chinese Physics C ( IF 3.6 ) Pub Date : 2021-01-26 , DOI: 10.1088/1674-1137/abccaf
Qingyu Gan 1 , Peng Wang 1 , Houwen Wu 1 , Haitang Yang 1
Affiliation  

It has been shown that the Christodoulou version of the strong cosmic censorship (SCC) conjecture can be violated for a scalar field in a near-extremal Reissner-Nordstrom-de Sitter black hole. In this paper, we investigate the effects of higher derivative corrections to the Einstein-Hilbert action on the validity of SCC, by considering a neutral massless scalar perturbation in $ 5 $- and $ 6 $-dimensional Einstein-Maxwell-Gauss-Bonnet-de Sitter black holes. Our numerical results show that the higher derivative term plays a different role in the $ d = 5 $ case than it does in the $ d = 6 $ case. For $ d = 5 $, the SCC violation region increases as the strength of the higher derivative term increases. For $ d = 6 $, the SCC violation region first increases and then decreases as the higher derivative correction becomes stronger, and SCC can always be restored for a black hole with a fixed charge ratio when the higher derivative correction is strong enough. Finally, we find that the $ C^{2} $ version of SCC is respected in the $ d = 6 $ case, but can be violated in some near-extremal regimes in the $ d = 5 $ case.



中文翻译:

对 Einstein-Maxwell-Gauss-Bonnet-de Sitter 黑洞中标量场的强大宇宙审查这项工作部分得到 NSFC (11005016、11875196、11375121) 的支持

已经表明,对于近极值 Reissner-Nordstrom-de Sitter 黑洞中的标量场,强宇宙审查 (SCC) 猜想的 Christodoulou 版本可能会被违反。5 美元在本文中,我们通过考虑- 和 -$ 6 $维 Einstein-Maxwell-Gauss-Bonnet-de Sitter 黑洞中的中性无质量标量扰动来研究对 Einstein-Hilbert 作用的更高导数校正对 SCC 有效性的影响。我们的数值结果表明,较高导数项在案例中的作用与在$ d = 5 $案例中的作用不同$ d = 6 $。对于$ d = 5 $,SCC 违反区域随着高阶导数项的强度增加而增加。为了$ d = 6 $,随着高导校正变强,SCC破坏区先增大后减小,当高导校正足够强时,对于固定电荷比的黑洞,SCC总是可以恢复的。最后,我们发现$ C^{2} $SCC 的版本在本案中得到尊重$ d = 6 $,但在本案中的一些接近极端的制度下可能会被违反$ d = 5 $

更新日期:2021-01-26
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