Under a weak assumption of the existence of a geodesic null congruence,

we present the general solution of the Einstein feld equations in three

dimensions with any value of the cosmological constant, admitting an aligned

null matter feld, and also gyratons (a matter feld in the form of a null dust

with an additional internal spin). The general local solution consists of the

expanding Robinson–Trautman class and the non-expanding Kundt class.

The gyratonic solutions reduce to spacetimes with a pure radiation matter

feld when the spin is set to zero. Without matter felds, we obtain new forms

of the maximally symmetric vacuum solutions. We discuss these complete

classes of solutions and their various subclasses. In particular, we identify the

gravitational feld of an arbitrarily accelerating source (the Kinnersley photon

rocket, which reduces to a Vaidya-type non-moving object) in the Robinson–

Trautman class, and pp-waves, vanishing scalar invariants (VSI) spacetimes,

and constant scalar invariants (CSI) spacetimes in the Kundt class.

we present the general solution of the Einstein feld equations in three

dimensions with any value of the cosmological constant, admitting an aligned

null matter feld, and also gyratons (a matter feld in the form of a null dust

with an additional internal spin). The general local solution consists of the

expanding Robinson–Trautman class and the non-expanding Kundt class.

The gyratonic solutions reduce to spacetimes with a pure radiation matter

feld when the spin is set to zero. Without matter felds, we obtain new forms

of the maximally symmetric vacuum solutions. We discuss these complete

classes of solutions and their various subclasses. In particular, we identify the

gravitational feld of an arbitrarily accelerating source (the Kinnersley photon

rocket, which reduces to a Vaidya-type non-moving object) in the Robinson–

Trautman class, and pp-waves, vanishing scalar invariants (VSI) spacetimes,

and constant scalar invariants (CSI) spacetimes in the Kundt class.

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

journal: | Class. Quantum Grav. |

volume: | 36 |

pages: | 015009 |

year: | 2019 |