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

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      https://www.ias.ac.in/article/fulltext/pram/044/04/0317-0322

    • Keywords

       

      Lower dimension gravity; BTZ metric; Einstein-scalar equations; energy-momentum pseudotensor

    • 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.

    • Author Affiliations

       

      K S Virbhadra1 2

      1. Departamento de Física Teórica, Universidad del País Vasco, Apartado 644, Bilbao - 48080, Spain
      2. Theoretical Astrophysics Group, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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