Exact black hole solutions in Einstein-Aether Scalar field theory
N. Dimakis, Genly Leon, Andronikos Paliathanasis

TL;DR
This paper derives exact static, spherically symmetric black hole solutions in Einstein-aether theory with a spacelike aether field and scalar coupling, generalizing known black hole metrics.
Contribution
It introduces new exact black hole solutions in Einstein-aether theory with scalar coupling and spacelike aether, expanding the understanding of possible black hole configurations.
Findings
Exact hairy black hole solutions with scalar coupling
Recovery of Schwarzschild, de-Sitter Schwarzschild, and Reissner-Nordström limits
New spacetime geometries in Einstein-aether theory
Abstract
We present exact solutions in Einstein-aether theory in a static spherically symmetric background space with a spacelike aether field, as a difference with the usual selection of timelike aether field. We assume a coupling between the scalar field and the aether field introduced in the aether coefficients. The exact spacetimes describe hairy black hole solutions for which the limits of the Schwarzschild, de-Sitter Schwarzschild and Reissner-Nordstr\"om metrics are recovered.
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