Mass formulas for supergravity black holes with string singularities

TL;DR

This paper generalizes mass formulas for supergravity black holes with string singularities, incorporating vector and scalar fields, and highlights the role of rod structures in these solutions.

Contribution

It extends existing mass formulas to more general supergravity actions with additional fields and applies to black holes with various string singularities.

Findings

Mass formulas include all electric charges in supergravity contexts.

Applicable to black holes with Dirac and Misner strings.

Utilizes rod structure in Weyl coordinates for derivation.

Abstract

We extend the derivation of mass formulas for stationary axisymmetric asymptotically locally flat solutions with string singularities on the polar axis to general supergravity actions containing vector and scalar fields. It is based on the rod structure of the solutions in Weyl coordinates and is applicable to black holes with Dirac and Misner strings. The obtained formulas differ from the corresponding ones in Einstein-Maxwell theory only by summation over all independent electric charges.