Spacetime quantization effects on 5-dimensional black string evaporation

TL;DR

This paper investigates how spacetime quantization influences the evaporation process of 5-dimensional black strings, revealing that minimal length effects modify Hawking radiation and suggest the existence of evaporation remnants.

Contribution

It provides a unified analysis of scalar particles, fermions, and bosons tunneling in a 5D black string background within the generalized uncertainty principle framework, highlighting differential temperature corrections.

Findings

Minimal length weakens Hawking radiation.

Bosons have larger temperature corrections than scalars and fermions.

Bosons stop tunneling before other particles, indicating possible evaporation remnants.

Abstract

Spacetime quantization predicts the existence of minimal length and time-interval. Within 5-dimensional Schwarzschild-like black string background, the tunneling of scalar particles, fermions and massive bosons are first studied together in the same generalized uncertainty principle framework. It is found that, the minimal length and time-interval effect weakens the original Hawking radiation. To $\mathcal{O}(\frac{1}{M_f^2})$, the corrected temperatures depend on not only the mass of black string, but also the mass and angular momentum of emitted particles. The temperature correction for massive bosons is four times as big as that for scalar particles and fermions. As a result, the bosons cease to tunnel from the black string before the scalar particles and fermions do. The evaporation remnant is expected in our analysis, however it should be verified by full quantum gravity theory.