Spontaneous genesis of naked singularities through quantum-gravitational processes: conclusive evidence for violation of cosmic censorship

TL;DR

This paper provides conclusive evidence that quantum effects like Hawking and Schwinger effects can cause naked singularities to form spontaneously, violating the cosmic censorship conjecture in certain black hole scenarios.

Contribution

It demonstrates that quantum effects can lead to the spontaneous formation of naked singularities, challenging the cosmic censorship conjecture with detailed physical analysis.

Findings

Naked singularities appear spontaneously in late-time evolution of large dilatonic black holes.

Hawking radiation power converges to a finite value for extreme dilatonic black holes.

Schwinger pair production ceases for black holes above a certain mass threshold.

Abstract

Cosmic censorship conjecture takes a pivotal status in general relativity. We demonstrate that quantum effects, Hawking effect together with Shwinger effect inevitably lead to violation of cosmic censorship. We find that naked singularity spontaneously appears in late time evolution of an isolated large dilatonic black hole. The critical discovery is that the power of Hawking radiation converges to a finite value for an extreme dilatonic black hole, which directly exposes the singularity in finite time. The spectrum of Hawking radiation of extreme dilatonic black holes becomes a truncated shrink Planck distribution. We analyze the underlying physics of the spectrum of Hawking radiation, which roots in extraordinarily wide potential around the horizon. We study the discharge mechanism of a dilatonic black hole through Schwinger effect. Amazingly, the Schwinger pair production naturally ceases for an extreme dilatonic black hole with mass larger than $1.7\times 10^5$ solar masses. Furthermore, we show that evaporation of charged particle because of the Schwinger effect do not save the cosmic censorship for black holes heavier than $1.784\times 10^7 $ solar masses in a significant region of initial charge parameter space. For the first time, we demonstrate that the naked singularities are {\rm spontaneously} formed driven by quantum effects, such that we learn quantum gravity directly from the information shedded from the singularity.