Abstract
We reconsider over-charging the higher-dimensional nearly extremal charged black holes using the new version of gedanken experiment proposed recently by Sorce and Wald. As a result, we find that cosmic censorship conjecture associated with such black holes is restored by taking into account the second-order correction, albeit violated by the first-order perturbation. Namely, the higher-dimensional nearly extremal charged black holes cannot be over-charged.
Highlights
IntroductionTo ensure the predictability of general relativity as a classical theory, long time ago Penrose proposed a conjecture, dubbed as weak cosmic censorship(WCC), which states that all singularities caused by gravitational collapse must be shielded by the black holes horizon such that it does not affect the distant observers
To ensure the predictability of general relativity as a classical theory, long time ago Penrose proposed a conjecture, dubbed as weak cosmic censorship(WCC), which states that all singularities caused by gravitational collapse must be shielded by the black holes horizon such that it does not affect the distant observers. there is still no general proof for WCC, many efforts have been taken for decades to test it[2]
We examine the Hubeny scenario by conducting the new version of gedanken experiment on top of the n-dimensional nearly extremal charged black hole and verify that such a black hole can not be over-charged when the second-order correction of the perturbation are taken into consideration
Summary
To ensure the predictability of general relativity as a classical theory, long time ago Penrose proposed a conjecture, dubbed as weak cosmic censorship(WCC), which states that all singularities caused by gravitational collapse must be shielded by the black holes horizon such that it does not affect the distant observers. It was later recognized that it is pivotal to carefully incorporate the self-force and finite-size effects of test particle matters before claiming the true violation of WCC in all the Hubeny scenarios, because both of these effects enter at higher order of particle’s energy, charge and angular moment while the aforementioned analyses are performed only at linear order[10, 11, 12] To solve this issue and let the dust settle completely, Sorce and Wald has recently invented a new version of gedanken experiment without relying on the test particle assumption or the explicit analyses of trajectories of particle matters[13]. We conclude our paper with some discussions
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
