Strong cosmic censorship in Horndeski theory

Abstract

The strong cosmic censorship hypothesis has recently regained a lot of attention in charged and rotating black holes immersed in de Sitter space. Although the picture seems to be clearly leaning towards the validity of the hypothesis in Kerr-de Sitter geometries, Reissner-Nordström-de Sitter black holes appear to be serious counter-examples. Here, we perform another test to the hypothesis by using a scalar field perturbation non-minimally coupled to the Einstein tensor propagating on Reissner-Nordström-de Sitter spacetimes. Such non-minimal derivative coupling is characteristic of Horndeski scalar-tensor theories. Although the introduction of higher-order derivative couplings in the energy-momentum tensor increases the regularity requirements for the existence of weak solutions beyond the Cauchy horizon, we are still able to find a small finite region in the black hole's parameter space where strong cosmic censorship is violated. arXiv:1908.09842v3 [gr-qc]

Anomalous decay rate of quasinormal modes in Schwarzschild-dS and Schwarzschild-AdS black holes

“…It would be interesting to extent this work to the case the background black hole is charged and study the behaviour of QNMs in this background and in different asymptotic spacetimes. If the background metric is the Reissner-Nordström black hole in dS spacetime an interesting effect in Gravity theory and in its scalar-tensor extension, is the Strong Cosmic Censorship (SCC) effect [38,52]. It was found in [53] that there intervals of the masses and charges of the scalar field that we have violation or not of SCC.…”

Strong cosmic censorship in near-extremal Kerr-Sen-de Sitter spacetime

“…In the Einstein gravity, it has been suggested that SCC is violated if β > 1/2 [14,63,64]. But in the modified gravity, we should reconsider the criteria [44]. According to the field equation ( 2), to judge the extendibility of the black hole solution beyond the Cauchy horizon, we need…”

“…where is the Christoffel symbol and the expansion G μν ∼ 2 + ∂ are used, we need ∈ L 2 loc with L 2 loc the space consisting of square integrable functions locally in V [44,65,66]. For the part of the energy-momentum tensor, we have…”

“…[20][21][22][23][24][25][25][26][27][28][29][30][31][32][33][34][35][36][37]), the investigations of the rotating cases seem to be limited [38][39][40][41][42]. Moreover, although the SCC of spacetimes in Einstein gravity has been investigated comprehensively, there is much that needs to be done in the modified gravities, being corrections to GR, following previous trials [43,44].…”

Strong cosmic censorship conjecture in higher curvature gravity

“…The central result arising out of these analyses is the realization that the strong cosmic censorship conjecture is violated in the near extremal regime for non-rotating black holes, while for rotating black holes, the violation can be avoided. For black holes in Born-Infeld-de Sitter and Horndeski theory, the strong cosmic censorship conjecture has also been recently studied in [24,25].…”