Hawking evaporation cascade in presence of back reaction effect

TL;DR

This paper investigates how back reaction effects influence Hawking radiation from black holes, revealing a transition to continuous radiation at a specific mass and the formation of a remnant, which differs from previous models.

Contribution

It introduces a modified Schwarzschild model including back reaction effects, showing a new continuous radiation cascade and black hole remnant formation at Planck-scale mass.

Findings

Hawking radiation becomes continuous at a specific mass.

A black hole remnant forms below a certain mass.

Back reaction effects significantly alter evaporation dynamics.

Abstract

We study the cascade of Hawking emission spectrum from the event horizon in presence of one loop back reaction effect in a black hole background. The spacetime is taken here is the modified Schwarzschild one. The analysis shows that it is possible to decrease the sparsity with the decrease in black hole mass. Moreover, at some particular value of mass one has a continuous radiation cascade. This result is completely new and quite different from the usual one. An estimation of the mass for continuous one is also found. We see that the value is of the Planck mass order. In this process it is observed that under a physical background, below a particular value of the mass the Hawking radiation must stop and we have a remnant. This was absent in the earlier analysis.