Back-reaction as a quantum correction

TL;DR

This paper introduces a semi-classical method to treat back-reaction as a quantum correction in black hole metrics, leading to modified thermodynamic quantities and applying the approach to Little String Theory with consistent entropy results.

Contribution

It presents a novel semi-classical approach incorporating quantum corrections into black hole metrics, aligning with tunneling results and extending to Little String Theory.

Findings

Corrected black hole temperature, entropy, and emission rate.

Quantum corrections match tunneling frame results at leading order.

Similar entropy results as string one-loop calculations in Little String Theory.

Abstract

In this work we will show how the back-reaction can be treated as a quantum correction. The novel semi-classical approach presented here consists in the introduction of adequate quantum corrections into the r-t sector of the black hole metric. Thus, we will obtain corrected values for the temperature, entropy and emission rate, which at leading order coincide with the results in the tunneling frame. We have also applied this technique to the Little String Theory. Interestingly, we have found similar results for the entropy as using string one-loop calculations.