Non-singular spacetimes with a negative cosmological constant: II. Static solutions of the Einstein-Maxwell equations

TL;DR

This paper constructs infinite-dimensional families of non-singular static solutions to the Einstein-Maxwell equations with a negative cosmological constant, including solutions with AdS conformal structure at infinity.

Contribution

It introduces new infinite-dimensional families of static Einstein-Maxwell solutions with negative cosmological constant, expanding the known solution space.

Findings

Existence of infinite-dimensional families of non-singular static solutions.

Solutions include those with AdS conformal structure at infinity.

Demonstrates richness of Einstein-Maxwell solutions with negative cosmological constant.

Abstract

We construct infinite-dimensional families of non-singular static space times, solutions of the vacuum Einstein-Maxwell equations with a negative cosmological constant. The families include an infinite-dimensional family of solutions with the usual AdS conformal structure at conformal infinity.