Scalar Perturbations of two-dimensional Horava-Lifshitz Black Holes

Abstract

In this article, we study the stability of black hole solutions found in the context of dilatonic Horava-Lifshitz gravity in $1+1$ dimensions by means of the quasinormal modes approach. In order to find the corresponding quasinormal modes, we consider the perturbations of massive and massless scalar fields minimally coupled to gravity. In both cases, we found that the quasinormal modes have a discrete spectrum and are completely imaginary, which leads to damping modes. For a massive scalar field and a non-vanishing cosmological constant, our results suggest unstable behaviour for large values of the scalar field mass.

18 pages, 1 figure. Accepted version in EPJC. arXiv admin note: text overlap with arXiv:gr-qc/0701099

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• AdS and Lifshitz black hole solutions in conformal gravity sourced with a scalar field
• FLRW Cosmology with Horava-Lifshitz Gravity: Impacts of Equations of State
• Fermionic quasinormal modes for two-dimensional Hořava-Lifshitz black holes
• One-Dimensional Relativistic Self-Gravitating Systems