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Scalar perturbations of two-dimensional Horava–Lifshitz black holes

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...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2016-02, Vol.76 (2), p.1, Article 75
Main Authors: Cruz, Miguel, Gonzalez-Espinoza, Manuel, Saavedra, Joel, Vargas-Arancibia, Diego
Format: Article
Language:English
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Summary: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 behavior for large values of the scalar field mass.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-016-3927-x