Sep 23 – 26, 2019
Other Institutes
Europe/Warsaw timezone

Instability of a RNAdS black hole under perturbations of a scalar field coupled to the Einstein tensor

Sep 23, 2019, 4:00 PM
20m
Other Institutes

Other Institutes

Maritime Academy, Wały Chrobrego 1-2, Szczecin, Poland
Talk/Seminar Parallel Sessions Parallel Sessions

Speaker

Bertha Cuadros-Melgar (USP)

Description

We study the instability of a Reissner-Nordström-AdS (RNAdS) black hole under perturbations of a massive scalar field coupled to Einstein tensor. Calculating the potential of the scalar perturbations we find that as the strength of the coupling of the scalar to Einstein tensor is increasing, the potential develops a
negative well outside the black hole horizon, indicating an instability of the background RNAdS. We then investigate the effect of this coupling on the quasinormal modes. We find that there exists a critical value of the coupling that triggers the instability of the RNAdS. We also find that as the charge of the RNAdS is increased towards its extremal value, the critical value of the derivative coupling is decreased.

Primary author

Co-authors

Prof. Elcio Abdalla (University of Sao Paulo) Prof. Jeferson De Oliveira (Federal University of Mato Grosso) Prof. Rodrigo Fontana (Federal University of Fronteira Sul) Prof. Eleftherios Papantonopoulos (National Technical University of Athens) Prof. Alan Pavan (Federal University of Itajuba)

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