Rotating black holes with an anisotropic matter field

TL;DR

This paper introduces a new family of rotating black hole solutions with anisotropic matter, extending Kerr-Newman spacetime, and explores their properties and potential for energy extraction.

Contribution

It presents novel rotating black hole solutions with anisotropic matter using the Newman-Janis algorithm, adding an extra hair due to negative radial pressure.

Findings

Black holes with anisotropic matter have unique thermodynamic properties.

The new solutions can serve as more efficient energy extraction engines.

The geometry generalizes Kerr-Newman black holes with additional matter features.

Abstract

We present a family of new rotating black hole solutions to Einstein's equations that generalizes the Kerr-Newman spacetime to include an anisotropic matter. The geometry is obtained by employing the Newman-Janis algorithm. In addition to the mass, the charge and the angular momentum, an additional hair exists thanks to the negative radial pressure of the anisotropic matter. The properties of the black hole are analyzed in detail including thermodynamics. This black hole can be used as a better engine than the Kerr-Newman one in extracting energy.