Some spacetimes containing non-rotating extremal isolated horizons

TL;DR

This paper reviews the uniqueness of extremal isolated horizons in 3+1 dimensions and constructs new non-asymptotically flat spacetimes with spherically symmetric extremal horizons similar to Reissner-Nordstrom solutions.

Contribution

It introduces explicit families of non-asymptotically flat, non-spherically symmetric spacetimes containing extremal horizons isomorphic to Reissner-Nordstrom horizons.

Findings

Constructed explicit non-asymptotically flat spacetimes with extremal horizons.

Showed these horizons are isomorphic to Reissner-Nordstrom horizons.

Reviewed uniqueness results of extremal isolated horizons.

Abstract

Well-known results demonstrate the uniqueness of extremal isolated horizons (equivalently near-horizon spacetimes) in (3+1)-dimensions. This paper briefly reviews some of these results and then explicitly constructs families of non-asymptotically flat, non-spherically symmetric spacetimes that nevertheless contain spherically symmetric extremal horizons that are isomorphic to those found in Reissner-Nordstrom spacetimes.