Nonminimal derivative coupling scalar-tensor theories: Odd-parity perturbations and black hole stability

Adolfo Cisterna, Miguel Cruz, Térence Delsate, JOEL FRANCISCO SAAVEDRA ALVEAR

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

We derive the odd-parity perturbation equation for the nonminimal kinetic coupling sector of the general Horndeski theory, where the kinetic term is coupled to the metric and the Einstein tensor. We derive the potential of the perturbation, by identifying a master function and switching to tortoise coordinates. We then prove the mode stability under linear odd-parity perturbations of hairy black holes in this sector of Horndeski theory, when a cosmological constant term in the action is included. Finally, we comment on the existence of slowly rotating black hole solutions in this setup and discuss their implications on the physics of compact object configurations, such as neutron stars.

Original languageEnglish
Article number104018
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume92
Issue number10
DOIs
StatePublished - 6 Nov 2015

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