On Hawking Radiation as Tunneling Phenomenon with Dissipation Effect

TL;DR

This paper explores how considering dissipation effects from the environment alters the Hawking temperature derived via tunneling, resulting in higher temperatures influenced by spectral density of bath oscillators.

Contribution

It introduces a method to incorporate dissipation effects into the tunneling derivation of Hawking radiation, revealing temperature corrections based on environmental spectral density.

Findings

Hawking temperature is increased when dissipation is considered.

Temperature correction depends on spectral density of bath oscillators.

Dissipation effects lead to higher Hawking temperature estimates.

Abstract

In this letter, we derive the Hawking temperature in the tunneling method by considering the system is open to the environment. This consideration yields the temperature which is higher than the standard one. The correction of temperatures depends on spectral density of bath oscillators which is responsible for dissipation effect in our analysis.