Exact solutions of Einstein and Einstein-scalar equations in 2 + 1 dimensions |
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Authors: | K S Virbhadra |
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Affiliation: | (1) Departamento de Física Teórica, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain;(2) Present address: Theoretical Astrophysics Group, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005 Bombay, India |
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Abstract: | A nonstatic and circularly symmetric exact solution of the Einstein equations (with a cosmological constant Λ and null fluid) in 2 + 1 dimensions is given. This is a nonstatic generalization of the uncharged spinless BTZ metric. For Λ = 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 Einsteinmassless scalar equations is given, which has a curvature singularity atr = 0 and the scalar field diverges atr = 0 as well as at infinity. |
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Keywords: | Lower dimension gravity BTZ metric Einstein-scalar equations energy-momentum pseudotensor |
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