Non-commutative Kerr black hole

TL;DR

This paper investigates the effects of non-commutative geometry on Kerr black holes by applying the Seiberg-Witten map to evaluate modifications in the black hole tetrad and energy extraction efficiency.

Contribution

It introduces a first-order non-commutative correction to the Kerr tetrad using the Seiberg-Witten map and assesses its impact on the Penrose process.

Findings

Non-commutativity causes tiny modifications to the Kerr tetrad.

The efficiency of the Penrose process is slightly affected by non-commutativity.

The corrections are of first-order in the non-commutative parameter.

Abstract

This paper applies the first-order Seiberg-Witten map to evaluate the first-order non-commutative Kerr tetrad. The classical tetrad is taken to follow the locally non-rotating frame prescription. We also evaluate the tiny effect of non-commutativity on the efficiency of the Penrose process of rotational energy extraction from a black hole.