Uniqueness of charged static asymptotically flat black holes in dynamical Chern-Simons gravity

TL;DR

This paper proves the uniqueness of static, electrically charged black holes in four-dimensional dynamical Chern-Simons gravity using the conformal positive energy theorem, under specific geometric assumptions.

Contribution

It establishes a uniqueness theorem for charged static black holes in dynamical Chern-Simons gravity, extending classical results to this modified gravity theory.

Findings

Uniqueness of static charged black holes in dynamical Chern-Simons gravity

Application of conformal positive energy theorem in this context

Conditions include asymptotic flatness and non-degenerate horizons

Abstract

Making use of the conformal positive energy theorem we prove the uniqueness of four-dimensional static electrically charged black holes being the solution of Chern-Simons dynamical gravity equations of motion. We assume that black hole spacetime contains an asymptotically flat spacelike hypersurface with compact interior and non-degenerate components of the event horizon.