Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law

TL;DR

This paper explores how the Voros product influences the structure of noncommutative Schwarzschild black holes and derives corrected entropy-area relations considering noncommutativity and quantum effects.

Contribution

It introduces the Voros product as essential in defining noncommutative black holes and computes corrected entropy laws including noncommutative and quantum corrections.

Findings

Leading correction to entropy is logarithmic with a coefficient involving the noncommutative parameter.

The Voros product is crucial for accurately modeling noncommutative black hole geometries.

Quantum corrections beyond semiclassical approximation modify the entropy-area law.

Abstract

We show the importance of the Voros product in defining a noncommutative Schwarzschild black hole. The corrected entropy/area-law is then computed in the tunneling formalism. Two types of corrections are considered; one, due to the effects of noncommutativity and the other, due to the effects of going beyond the semiclassical approximation. The leading correction to the semiclassical entropy/area-law is logarithmic and its coefficient involves the noncommutative parameter.