Efficiency of the Keplerian accretion in the Braneworld Kerr--Newman Spacetimes and mining instability of some naked singularity spacetimes

TL;DR

This paper analyzes the efficiency of Keplerian accretion in braneworld Kerr--Newman spacetimes, revealing conditions for unbounded energy extraction from certain naked singularities and classifying spacetime properties based on geodesic behavior.

Contribution

It classifies braneworld Kerr--Newman spacetimes into fourteen classes and identifies conditions for infinite accretion efficiency and mining instability in naked singularity cases.

Findings

Identified fourteen classes of spacetime based on geodesic properties.

Discovered conditions for unbounded accretion efficiency in naked singularities.

Introduced the concept of 'mining-unstable' naked singularity spacetimes.

Abstract

We show that the~braneworld rotating Kerr--Newman black hole and naked singularity spacetimes with both positive and negative braneworld tidal charge parameter can be separated into fourteen classes according to properties of circular geodesics governing the~Keplerian accretion. We determine efficiency of the~Keplerian accretion disks for all braneworld Kerr--Newman spacetimes. We demonstrate occurrence of an~infinitely deep gravitational potential in Kerr--Newman naked singularity spacetimes having the~braneworld dimensionless tidal charge $b \in (1/4,1)$ and the~dimensionless spin $a \in (2\sqrt{b}-\sqrt{b(4b-1)},2\sqrt{b}+\sqrt{b(4b-1)})$, implying unbound efficiency of the~Keplerian accretion and possibility to extract the~whole naked singularity mass. Therefore, we call them braneworld "mining-unstable" Kerr--Newman naked singularity spacetimes. Fundamental restriction on the~relevance of the~extraordinary but fully classical phenomenon of the~mining instability is given by validity of the~assumption of geodesic motion of the~accreting matter.