Hair distributions in noncommutative Einstein-Born-Infeld black holes

TL;DR

This paper investigates how noncommutative geometry affects hair mass distribution in Einstein-Born-Infeld black holes, revealing that noncommutativity influences hair condensation and bounds, especially in large black holes with cosmological constants.

Contribution

It demonstrates that noncommutative parameters impact hair distribution and can evade Hod's lower bound in Einstein-Born-Infeld black holes.

Findings

Larger noncommutative parameter facilitates hair condensation near the horizon.

Hod's lower bound can be evaded in noncommutative gravity.

Nearly half of the hair remains above the photonsphere in large black holes with non-negative cosmological constant.

Abstract

We study hair mass distributions in noncommutative Einstein-Born-Infeld hairy black holes with non-zero cosmological constants. We find that the larger noncommutative parameter makes the hair easier to condense in the near horizon area. We also show that Hod's lower bound can be evaded in the noncommutative gravity. However, for large black holes with a non-negative cosmological constant, Hod's lower hair mass bound almost holds in the sense that nearly half of the hair lays above the photonsphere.