A Minkowski inequality for the static Einstein-Maxwell space-time

TL;DR

This paper establishes a Minkowski-like inequality for static Einstein-Maxwell space-times using inverse mean curvature flow, enhancing understanding of photon spheres in these gravitational models.

Contribution

It introduces a new Minkowski inequality specific to asymptotically flat static Einstein-Maxwell space-times, linking geometric properties with electromagnetic fields.

Findings

Proves a Minkowski-like inequality for Einstein-Maxwell space-times.

Highlights the role of the inequality in understanding photon spheres.

Uses inverse mean curvature flow as the main analytical tool.

Abstract

In this paper we prove a Minkowski-like inequality for an asymptotically flat static Einstein-Maxwell (electrostatic) space-time using as approach the inverse mean curvature flow (IMCF). Moreover, we discuss the importance of this inequality in the understanding of the photon sphere.