Exact solutions of Einstein and Einstein-scalar equations in 2 + 1 dimensions

Details Exact solutions of Einstein and Einstein-scalar equations in 2 + 1 dimensions Exact solutions of Einstein and Einstein-scalar equations in 2 + 1 dimensions

1994-08-29

arxiv.org/abs/gr-qc/9408035v1

Pramana 44 (1995) 317-322

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, Latex, no number

Scientific paper

10.1007/BF02847608

A nonstatic and circularly symmetric exact solution of the Einstein equations (with a cosmological constant $\Lambda$ and null fluid) in $2+1$ dimensions is given. This is a nonstatic generalization of the uncharged spinless BTZ metric. For $\Lambda = 0 $, the spacetime is though not flat, the Kretschmann invariant vanishes. The energy, momentum, and power output for this metric are obtained. Further a static and circularly symmetric exact solution of the Einstein-massless scalar equations is given, which has a curvature singularity at $r =0$ and the scalar field diverges at $r=0$ as well as at infinity .

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