On the gravitational energy of the Kaluza Klein monopole

TL;DR

This paper calculates the gravitational energy of the Kaluza-Klein monopole using local counterterm methods, providing results consistent with previous background subtraction techniques.

Contribution

It introduces a local counterterm approach to compute conserved quantities in five-dimensional Kaluza-Klein theories, offering an alternative to background subtraction.

Findings

Successfully computed the mass of the Kaluza-Klein monopole.

Demonstrated consistency with previous background subtraction results.

Validated the use of local counterterms for asymptotically flat spaces.

Abstract

We use local counterterm prescriptions for asymptotically flat space to compute the action and conserved quantities in five-dimensional Kaluza-Klein theories. As an application of these prescriptions we compute the mass of the Kaluza-Klein magnetic monopole. We find consistent results with previous approaches that employ a background subtraction.