Schwarzschild black hole can also produce super-radiation phenomena under f(R) Gravity and the cosmic censorship conjecture may be violated

Abstract

This article suggests that Bose-Einstein condensation can occur without the need for an energy barrier when the boundary conditions are set as $\frac{T}{T_{c}}=z$ (where z is a positive integer). Under these conditions, bosons can condense in the Schwarzschild black hole. The incident waves can then be trapped and condensed within the black hole, generating a potential barrier near the event horizon. This suggests that Schwarzschild black holes under f(R) Gravity can also exhibit superradiance, which raises the possibility of violating the cosmic censorship conjecture. It should be noted that the natural unit system is used in this article.