2021/08/07 by Aofei Sang, Jie Jiang
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Cosmic censorship hypothesis #Extremal black hole #Penrose process #Perturbation (astronomy) #Pulsars and Gravitational Waves Research #Rotating black hole #Spacetime #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep09(2021)095
published as JHEP 09 (2021) 095 · 21 pages, 2 figures
arxiv created 2021/08/07 · openalex created_date 2021/08/16 · openalex publication_date 2021/09/01 · arxiv updated 2021/12/30 · openalex updated_date 2026/08/05
A bstract Sorce and Wald proposed a new version of gedanken experiments to examine the weak cosmic censorship conjecture (WCCC) in Kerr-Newmann black holes. However, their discussion only includes the second-order approximation of perturbation and there exists an optimal condition such that the validity of the WCCC is determined by the higher-order approximations. Therefore, in this paper, we extended their discussions into the high-order approximations to study the WCCC in a nearly extremal Kerr black hole. After assuming that the spacetime satisfies the stability condition and the perturbation matter fields satisfy the null energy condition, based on the Noether charge method by Iyer and Wald, we completely calculate the first four order perturbation inequalities and discuss the corresponding gedanken experiment to overspin the Kerr black hole. As a result, we find that the nearly extremal Kerr black holes cannot be destroyed under the fourth-order approximation of perturbation. Then, by using the mathematical induction, we strictly prove the n th order perturbation inequality when the first ( n − 1) order perturbation inequalities are saturated. Using these results, we discuss the first 100 order approximation of the gedanken experiments and find that the WCCC in Kerr black hole is valid under the higher-order approximation of perturbation. Our investigation implies that the WCCC might be strictly satisfied in Kerr black holes under the perturbation level.