Particles with negative energies in black holes

TL;DR

This paper investigates the conditions under which particles can have negative energies in various black hole spacetimes, analyzing different energy definitions and comparing Schwarzschild, Kerr, and Reissner-Nordstrom black holes.

Contribution

It provides a detailed analysis of negative energy particles in different black hole metrics and clarifies the conditions for negative energies inside and outside black holes.

Findings

Negative energies can occur inside Schwarzschild black holes under certain definitions.

In Kerr black holes, negative energies are possible in the ergosphere.

The study compares energy conditions across Schwarzschild, Kerr, and Reissner-Nordstrom black holes.

Abstract

The problem of the existence of particles with negative energies inside and outside of Schwarzschild, charged and rotating black holes is investigated. Different definitions of the energy of the particle inside the Schwarzschild black hole are analyzed and it is shown in what cases this energy can be negative. A comparison is made for the cases of rotating black holes described by the Kerr metric when the energy of the particle can be negative in the ergosphere and the Reissner-Nordstrom metric.