Energy Associated with Schwarzschild Black Hole in a Magnetic Universe

TL;DR

This paper calculates the energy distribution of a Schwarzschild black hole in a magnetic universe using Einstein's prescription, highlighting how magnetic fields influence the system's energy in general relativity.

Contribution

It provides a novel calculation of energy distribution for Schwarzschild black holes in magnetic universes, incorporating magnetic effects in Einstein's energy prescription.

Findings

Magnetic fields increase the total energy of the black hole system.

The energy expression includes rest-mass, magnetic field, and relativistic effects.

Magnetic influence is significant in energy calculations for such systems.

Abstract

In this paper we obtain the energy distribution associated with the Ernst space-time (geometry describing Schwarzschild black hole in Melvin's magnetic universe) in Einstein's prescription. The first term is the rest-mass energy of the Schwarzschild black hole, the second term is the classical value for the energy of the uniform magnetic field and the remaining terms in the expression are due to the general relativistic effect. The presence of the magnetic field is found to increase the energy of the system.