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2009

Scalar hairs and exact vortex solutions in 3D AdS gravity

Cadoni, M., Pani, P., Serra, M.

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We investigate three-dimensional (3D) Anti-de Sitter (AdS) gravity coupled to a complex scalar field \phi with self-interaction potential V(|\phi|).

We show that the mass of static, rotationally symmetric, AdS black hole with scalar hairs is determined algebraically by the scalar charges.
We recast the field equations as a linear system of first order differential equations.
Exact solutions, describing 3D AdS black holes with real spherical scalar hairs and vortex-black hole solutions are derived in closed form for the case of a scalar field saturating the Breitenlohner-Freedman (BF) bound and for a scalar field with asymptotic zero mass.

Scalar hairs and exact vortex solutions in 3D AdS gravity · Around

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