• On the BTZ black hole and the spinning cosmic string

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    • Keywords


      Spinning cosmic string—BTZ black hole—conformal invariance.

    • Abstract


      We review the Banados–Teitelboim–Zanelli (BTZ) black hole solution in connection with the spinning string solution. We find a new exact solution, which can be related to the ($2+1$)-dimensional spinning point particle solution. There is no need for a cosmological constant, and so the solution can be upliftedto ($3 + 1$) dimensions. The exact solution in a conformally invariant gravity model, where the space–time is written as $g_{\mu\nu}=\omega^2\tilde{g}_{\mu\nu}$, is horizon free and has an ergo-circle, while $\tilde{g}_{\mu\nu}$ is the BTZ solution. The dilaton $\omega$ determines the scale of the model. It is conjectured that the conformally invariant non-vacuum BTZ solution will solve the boundary and causality problems which one encounters in spinning cosmic stringsolutions.

    • Author Affiliations



      1. Department of Physics, ASFYON, Astronomisch Fysisch Onderzoek Nederland and University of Amsterdam, Amsterdam, The Netherlands.
    • Dates

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