Stability of charged scalar tensor black holes coupled to Born Infeld nonlinear electrodynamics

Details Stability of charged scalar tensor black holes coupled to Born Infeld nonlinear electrodynamics Stability of charged scalar tensor black holes coupled to Born Infeld nonlinear electrodynamics

Jan 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cqgra..26a5006s&link_type=abstract

Classical and Quantum Gravity, Volume 26, Issue 1, pp. 015006 (2009).

Physics

3

Scientific paper

We study the linear stability against spherically symmetric perturbations of scalar tensor black holes coupled to the Born Infeld nonlinear electrodynamics. For this purpose we first derived the master equation governing the spherically symmetric perturbations of the black holes. By showing numerically the positiveness of the effective potential of the perturbations we prove the stability of the scalar tensor black holes in the restricted case of spherically symmetric perturbations for the numerically studied region of their parameter space and for a large class of scalar tensor theories. Thermodynamical arguments about the full stability of the studied solutions are also given in this paper.

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