Einstein-(complex)-Maxwell static boson stars in AdS

TL;DR

This paper constructs static, axially symmetric boson star solutions in AdS spacetime with two Maxwell fields, providing analytical solutions in the test limit and numerical solutions for the full nonlinear case.

Contribution

It introduces a new class of self-gravitating boson-star-like solutions in AdS with Maxwell fields, combining analytical and numerical methods.

Findings

Existence of asymptotically AdS boson star solutions with Maxwell fields.

Analytical solutions in the test-field limit.

Numerical solutions for the fully nonlinear case.

Abstract

We consider a model with two real Maxwell fields (or equivalently, a complex Maxwell field) minimally coupled to Einsteins gravity with a negative cosmological constant in four spacetime dimensions. Assuming a specific harmonic dependence of the vector fields, we show the existence of asymptotically anti-de Sitter (AdS) self-gravitating boson-star-like solitonic solutions, which are static and axially symmetric. Analytical solutions are found in the test-field limit, where the Maxwell equations are solved on a fixed AdS background. The fully nonlinear solutions are constructed numerically.