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Scalar field perturbations in asymptotically Lifshitz black holes

Alex Giacomini1, Gaston Giribet2, Mauricio Leston3, Julio Oliva1, and Sourya Ray1

  • 1Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile
  • 2Departamento de Física, Universidad de Buenos Aires FCEN-UBA y Conicet, Argentina
  • 3Instituto de Astronomía y Física del Espacio IAFE, UBA-Conicet, Argentina

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Phys. Rev. D 85, 124001 – Published 1 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.124001

Abstract

We consider scalar field perturbations about asymptotically Lifshitz black holes with dynamical exponent z in D dimensions. We show that, for suitable boundary conditions, these Lifshitz black holes are stable under scalar field perturbations. For z=2, we explicitly compute the quasinormal mode frequencies, which result to be purely imaginary, and then obtain the damping-off of the scalar field perturbation in these backgrounds. The general analysis includes, in particular, the z=3 black hole solution of three-dimensional massive gravity.

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Phys. Rev. D 85, 124001– Published 1 June, 2012
  • Received 9 March 2012

© 2012 American Physical Society

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