Quasinormal modes and thermodynamical aspects of the 3D Lifshitz black hole

NEB 15 – Recent Developments in Gravity

Cuadros-Melgar, B.^1 ; De Oliveira, J.^2 ; Pellicer, C.E.^3

Physics Department, University of Buenos Aires, FCEN-UBA and IFIBA-CONICET, Ciudad Universitaria, Pabellón 1, 1428, Buenos Aires, Argentina^1

Instituto de Física, Universidade Federal do Mato Grosso, 78060-900, Cuiabá, Brazil^2

Instituto de Física, Universidade de São Paulo, C.P.66318, CEP 05315-970, São Paulo, Brazil^3

关键词: Analytical results;    Black holes;    Numerical results;    Quasinormal modes;    Thermodynamical;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/453/1/012025/pdf
DOI  :  10.1088/1742-6596/453/1/012025

来源: IOP

【 摘 要 】

We consider scalar and spinorial perturbations on a background described by a z = 3 three-dimensional Lifshitz black hole. We obtained the corresponding quasinormal modes which perfectly agree with the analytical result for the quasinormal frequency in the scalar case. The numerical results for the spinorial perturbations reinforce our conclusion on the stability of the model under these perturbations. We also calculate the area spectrum, which prove to be equally spaced, as an application of our results.