Collisional Penrose process of BTZ black holes

TL;DR

This paper investigates the efficiency of the collisional Penrose process near extremal BTZ black holes, revealing that spinning particles yield higher energy extraction and that efficiency is unaffected by the cosmological constant.

Contribution

It provides a detailed analysis of the collisional Penrose process involving massless and massive particles near BTZ black holes, highlighting the role of particle spin and cosmological constant independence.

Findings

Spinning particles have higher energy extraction efficiency than spinless particles.

Maximum efficiency is independent of the cosmological constant.

Efficiency calculations are specific to extremal BTZ black holes.

Abstract

The Penrose process in the vicinity of an extremal Ban\~ados-Teitelboim-Zanelli(BTZ) black hole is studied. Due to the existence of negative cosmological constant, only massless particles could escape to infinity. Hence we analyse the Penrose process by one massless particle collides with another massive particle near the horizon of BTZ black holes. Calculations of the maximum energy extraction efficiency of this process is carried out for both spinless and spinning particles. Our results show that the spinning particle have a higher energy extraction efficiency than the spinless particle. Moreover, our calculation also indicates that the maximum energy extraction efficiency is independent of the value of the cosmological constant of BTZ black holes.