Strong cosmic censorship for a scalar field in an Einstein-Maxwell-Gauss-Bonnet-de Sitter black hole

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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 investig-ate 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 cor-rection is strong enough.Finally,we find that the C2 version of SCC is respected in the d = 6 case,but can be viol-ated in some near-extremal regimes in the d = 5 case.
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