Scalar Hairy Black Holes in the presence of Nonlinear Electrodynamics

Abstract

We study influence of scalar fields on Nonlinear Electrodynamics spacetimes. The investigation is carried out using both test and gravitating scalar fields. After revisiting Einstein-Maxwell scalar field solutions we focus on analytic investigation of Nonlinear Electrodynamics scalar field spacetimes, especially Square Root Lagrangian model. The main motivation being to understand whether certain specific signatures of scalar fields are preserved when Nonlinear Electrodynamics as an additional source is considered. We show that the regularity of horizon which is spoiled by scalar field in spherically symmetric static scalar-vacuum spacetimes is not improved by including Nonlinear Electrodynamics or other sources satisfying certain condition. We confirm these findings using test scalar field that enables us to go beyond spherical symmetry.

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Cited by in corpus (7)

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• Well-posed non-vacuum solutions in Robinson--Trautman geometry
• Deflection in higher dimensional spacetime and asymptotically non-flat spacetimes
• Orbital Motion in Spacetimes Influenced by the Presence of Scalar and Electromagnetic Fields
• Phantom scalar field counterpart to Curzon-Chazy spacetime