Black holes with a fluid of strings

TL;DR

This paper presents exact solutions for charged black holes surrounded by a fluid of strings in both static and rotating cases, analyzing horizons, ergoregions, and geodesic motion to understand the influence of the string fluid.

Contribution

It provides new exact solutions for black holes with a surrounding fluid of strings, including rotating cases, and analyzes their horizon and geodesic properties.

Findings

Exact static solution for charged black hole with string fluid

Extension to rotating Kerr-Newman black hole with string fluid

Analysis of horizons, ergoregions, and geodesic motion in these spacetimes

Abstract

We obtain an exact solution of Einstein's equations for a charged, static and spherically symmetric body, surrounded by a fluid of strings and with a cosmological constant. This corresponds to the Reissner-Nordstr\"om (de Sitter)-Anti de Sitter black hole surrounded by a fluid of strings. Some aspects concerning the horizons and geodesic motion are discussed. We also obtain the metric corresponding to the Kerr-Newman black hole surrounded by a fluid of strings, by using a method to construct the rotating solution from its counterpart static one. The horizons, ergoregions, and geodesic motion are analyzed. In both cases, the role played by the fluid of strings was pointed out.