Exponentially Long Evaporation of Noncommutative Black Hole

TL;DR

This paper explores how noncommutative spacetime alters Hawking radiation, leading to an exponentially long black hole evaporation time due to nonlocal effects and modified interactions.

Contribution

It demonstrates that noncommutativity causes a significant shift in the collapsing shell and extends black hole evaporation time exponentially, challenging traditional robustness arguments.

Findings

Spacetime noncommutativity modifies radiation interaction with geometry.

Hawking radiation decays after the scrambling time.

Black hole evaporation time becomes exponentially long.

Abstract

We investigate Hawking radiation in noncommutative spacetime. For a dynamical black hole formed by the collapse of a matter shell, we demonstrate that spacetime noncommutativity modifies the interaction between the radiation field and the background geometry. In particular, the collapsing shell is effectively shifted by an amount proportional to the momentum of an outgoing Hawking mode. While the nonlocality inherent in noncommutative spacetime invalidates the conventional arguments for the robustness of Hawking radiation, the radiation decays substantially after the scrambling time, resulting in an exponentially long evaporation time.