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Gravitational perturbation of the BTZ black hole induced by test particles and weak cosmic censorship in AdS spacetime

Jorge V. Rocha1,* and Vitor Cardoso1,2

  • 1CENTRA, Departamento de Física, Instituto Superior Técnico, Universidade Técnica de Lisboa, Av. Rovisco Pais 1, 1049 Lisboa, Portugal
  • 2Department of Physics and Astronomy, The University of Mississippi, University, Mississippi 38677, USA

  • *jorge.v.rocha@ist.utl.pt
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Phys. Rev. D 83, 104037 – Published 19 May, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.104037

Abstract

We analyze the gravitational perturbations induced by particles falling into a three dimensional, asymptotically AdS black hole geometry. More specifically, we solve the linearized perturbation equations obtained from the geodesic motion of a ringlike distribution of test particles in the BTZ background. This setup ensures that the U(1) symmetry of the background is preserved. The nonasymptotic flatness of the background raises difficulties in attributing the significance of energy and angular momentum to the conserved quantities of the test particles. This issue is well known but, to the best of our knowledge, has never been addressed in the literature. We confirm that the naive expressions for energy and angular momentum are the correct definitions. Finally, we put an asymptotically AdS version of the weak cosmic censorship to a test: by attempting to overspin the BTZ black hole with test particles it is found that the black hole cannot be spun-up past its extremal limit.

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Outline

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Phys. Rev. D 83, 104037– Published 19 May, 2011
  • Received 28 February 2011

© 2011 American Physical Society

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