On the Possible Spacetime Structures of Rotating Loop Quantum Black Holes

TL;DR

This paper explores potential spacetime structures of rotating black holes within Loop Quantum Gravity, proposing a conjecture based on the Newman-Janis Algorithm and existing models, to advance understanding of quantum gravity effects on black hole geometry.

Contribution

It introduces a conjecture on the generic form of rotating LQG black holes using the Newman-Janis Algorithm and assumptions on seed metrics, filling a gap in effective rotating black hole models in LQG.

Findings

Proposes a conjecture on rotating LQG black hole metrics.

Supports the conjecture with known examples from literature.

Highlights the need for a consistent mathematical construction in LQG black holes.

Abstract

To date, a mathematically consistent construction of effective rotating black hole models in the context of Loop Quantum Gravity (LQG) is still lacking. In this work, we start with the assumption that rotating LQG black hole metrics can be effectively obtained using Newman-Janis Algorithm. Then, based on a few extra fair assumptions on the seed metric functions, we make a conjecture on what a rotating LQG black hole would generically look like. Our general arguments and conclusions can be supported by some known specific examples in the literature.