Explicit Robinson–Trautman solutions with an

electromagnetic field satisfying nonlinear field equations are

derived and analyzed. The solutions are generated from the

spherically symmetric ones. In all studied cases the electromagnetic

field singularity is removed while the gravitational

one persists. The models resolving the curvature singularity

in spherically symmetric spacetimes could not be generalized

to the Robinson–Trautman geometry using the generating

method developed in this paper, which indicates that the

removal of a singularity in the associated spherically symmetric

case might be just a consequence of high symmetry.

We show that the obtained solutions are generally of algebraic

type II and reduce to type D in spherical symmetry.

Asymptotically they tend to the spherically symmetric case

as well.

electromagnetic field satisfying nonlinear field equations are

derived and analyzed. The solutions are generated from the

spherically symmetric ones. In all studied cases the electromagnetic

field singularity is removed while the gravitational

one persists. The models resolving the curvature singularity

in spherically symmetric spacetimes could not be generalized

to the Robinson–Trautman geometry using the generating

method developed in this paper, which indicates that the

removal of a singularity in the associated spherically symmetric

case might be just a consequence of high symmetry.

We show that the obtained solutions are generally of algebraic

type II and reduce to type D in spherical symmetry.

Asymptotically they tend to the spherically symmetric case

as well.

typ: | article |
---|---|

journal: | European Physical Journal C |

volume: | 76 |

pages: | 335 |

year: | 2016 |