Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 5, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2017/05/050
Keywords
extra dimensions; gravity; modified gravity; GR black holes
Funding
- Rudolf Peierls Centre for Theoretical Physics of University of Oxford
- University of Tubingen
- Conselho Nacional de Desenvolvimento Cientfico e Tecnologico (CNPq)
- Project for fostering collaboration in science, research and education - Moravian-Silesian Region, Czech Republic
- Research Centre for Theoretical Physics and Astrophysics, Faculty of Philosophy and Science of Sileasian University at Opava
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Perturbations and eikonal instabilities of black holes and branes in the Einstein-Gauss-Bonnet theory and its Lovelock generalization were considered in the literature for several particular cases, where the asymptotic conditions (flat, dS, AdS), the number of spacetime dimensions D, non-vanishing coupling constants (alpha(1), alpha(2), alpha(3) etc.) and other parameters have been chosen in a specific way. Here we give a comprehensive analysis of the eikonal instabilities of black holes and branes for the most general Lovelock theory, not limited by any of the above cases. Although the part of the stability analysis is performed here purely analytically and formulated in terms of the inequalities for the black hole parameters, the most general case is treated numerically and the accurate regions of instabilities are presented. The shared Mathematica (R) code allows the reader to construct the regions of eikonal instability for any desired values of the parameters.
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