Properties of Robinson--Trautman solution with scalar hair

Abstract

An explicit Robinson--Trautman solution with minimally coupled free scalar field was derived and analyzed recently. It was shown that this solution possesses a curvature singularity which is initially naked but later enveloped by a horizon. However, this study concentrated on the general branch of the solution where all free constants are nonzero. Interesting special cases arise when some of the parameters are set to zero. In most of these cases the scalar field is still present. One of the cases is a static solution which represents a parametric limit of the Janis--Newman--Winicour scalar field spacetime. Additionally, we provide a calculation of the Bondi mass which clarifies the interpretation of the general solution. Finally, by a complex rotation of a parameter describing the strength of the scalar field we obtain a dynamical wormhole solution.

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References in corpus (3)

• Exact Black Hole Formation in Asymptotically (A)dS and Flat Spacetimes
• On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources
• Algebraic classification of Robinson-Trautman spacetimes

Cited by in corpus (10)

• Weyl metrics and wormholes
• On the compatibility of Nonlinear Electrodynamics models with Robinson--Trautman geometry
• Scalar Hairy Black Holes in the presence of Nonlinear Electrodynamics
• Nonsymmetric Dynamical Thin-Shell Wormhole in Robinson--Trautman Class
• Well-posed non-vacuum solutions in Robinson--Trautman geometry
• Non-Riemannian Description of Robinson-Trautman Spacetimes in Brans-Dicke Theory Of Gravity
• Robinson-Trautman solutions with scalar hair and Ricci flow
• Quantum fate of timelike naked singularity with scalar hair
• Wedging spacetime principal null directions
• Phantom scalar field counterpart to Curzon-Chazy spacetime