Generalized Charged Nariai Solutions in Arbitrary Even Dimensions with Multiple Magnetic Charges

TL;DR

This paper introduces new higher-dimensional Einstein-Maxwell solutions with multiple magnetic charges, generalizing the Nariai spacetime, and explores their implications for black hole metrics and modifications in extended gravity theories.

Contribution

It presents a novel class of charged Nariai solutions in arbitrary even dimensions with multiple magnetic charges, extending previous uncharged or singly charged models.

Findings

Solutions are constructed from products of constant curvature 2-spaces.

These solutions include multiple magnetic charges, unlike previous models.

They are used to generate new black hole metrics and analyze modifications in extended gravity theories.

Abstract

Higher-dimensional solutions for Einstein-Maxwell equations that generalize the charged Nariai spacetime are obtained. The solutions presented here are made from the direct product of several 2-spaces of constant curvature. These solutions turn out to have many magnetic charges, contrary to the usual higher-dimensional generalization of the Nariai spacetime, which has no magnetic charge at all. These solutions are then used to generate black hole metrics. Finally, it is analyzed how these generalized Nariai solutions are modified in more general theories of gravity.