Dilatonic String through black holes

TL;DR

This paper investigates the effects of a cosmic string on Schwarzschild and charged black holes within dilatonic gravity, revealing asymptotic flatness with conical deficits and differences between inertial and gravitational masses.

Contribution

It provides a detailed analysis of black holes pierced by cosmic strings in both massless and massive dilatonic gravity, extending to charged black holes.

Findings

Black hole spacetime exhibits a conical deficit due to the string.

Inertial mass differs from gravitational mass in this setup.

Results are generalized to charged black holes.

Abstract

We study the gravi-dilaton field of a Schwarzschild black hole pierced by a thin cosmic string in both massless and massive dilatonic gravity. We conclude that in the thin vortex approximation the string's spacetime is asymptotically flat with a conical deficit angle and that the inertial mass of the black hole is different from the gravitational one. We generalize our results to charged black holes.