Black hole echos reflect the phase transition and fluctuations in Hawking radiation

TL;DR

This paper explores how black hole echoes, arising from correlations in Hawking radiation, can serve as observable signatures of phase transitions and fluctuations in black holes, linking thermodynamic behavior with radiation signals.

Contribution

It introduces the concept that black hole echoes reflect phase transitions and fluctuations in Hawking radiation, providing a novel potential observational signature.

Findings

Black hole echoes can emerge from correlations in Hawking radiation.

Echo signatures may indicate black hole phase transitions.

Correlations between single and joint events reveal fluctuations.

Abstract

Black holes are thermal objects. They can form thermodynamic phases and exhibit phase transitions. Furthermore, black holes can also radiate, termed as Hawking radiation. However, the signatures of these behaviors are challenging to observe. In this work,we consider Hawking radiation in black hole phase transitions. We uncovered that an echo can emerge from the correlations between individual single event and joint two events. This provides possible signature of black hole phase transition and fluctuations in Hawking radiation.