An explicit Robinson-Trautman solution with a 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.

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.

typ: | article |
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journal: | Phys. Rev. D |

volume: | 94 |

pages: | 064031 |

year: | 2016 |