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

Abstract

We derive the odd parity perturbation equation in scalar-tensor theories with a non minimal 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 objects configurations, such as neutron stars.

Important references added

References in corpus (9)

• Black holes with non-minimal derivative coupling
• Quintessence and phantom cosmology with non-minimal derivative coupling
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Neutron stars in general second order scalar-tensor theory: the case of non-minimal derivative coupling
• UV-Protected Inflation
• Black Holes in Bi-scalar Extensions of Horndeski Theories
• Quantum Gravity: A Brief History of Ideas and Some Prospects
• Black hole quasinormal modes in a scalar-tensor theory with field derivative coupling to the Einstein tensor
• (Super-)renormalizably dressed black holes

Cited by in corpus (33)

• Horndeski theory and beyond: a review
• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
• Black holes and stars in Horndeski theory
• Slowly rotating neutron stars in the nonminimal derivative coupling sector of Horndeski gravity
• Neutron stars in Horndeski gravity
• Black Holes and Abelian Symmetry Breaking
• Weak and strong deflection gravitational lensings by a charged Horndeski black hole
• Boson stars in biscalar extensions of Horndeski gravity
• Instability of hairy black holes in shift-symmetric Horndeski theories
• Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor
• Static and rotating solutions for Vector-Galileon theories
• Compact objects in Horndeski gravity
• Relativistic star perturbations in Horndeski theories with a gauge-ready formulation
• Linear stability of black holes in shift-symmetric Horndeski theories with a time-independent scalar field
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• Exact theory for the Rezzolla-Zhidenko metric and self-consistent calculation of quasinormal modes
• Black hole stability under odd-parity perturbations in Horndeski gravity
• Off-shell Noether current and conserved charge in Horndeski theory
• On the effective metric of axial black hole perturbations in DHOST gravity
• Scalar tensor Horndeski models: simple cosmological applications
• Warm inflation with an oscillatory inflaton in the non-minimal kinetic coupling model
• Gravitational Collapse of a Homogeneous Scalar Field Coupled Kinematically to Einstein Tensor
• Odd-parity stability of hairy black holes in $U(1)$ gauge-invariant scalar-vector-tensor theories
• Slowly rotating black holes in Quasi-topological gravity
• K-essence in Horndeski models
• $k$-essence non-minimally coupled with Gauss-Bonnet invariant for inflation
• Gravitational odd-parity perturbation of a Horndeski hairy black hole: quasinormal mode and parameter constraint
• Static Spherically Symmetric solutions in a subclass of Horndeski theories of gravity
• Warm inflation in Horndeski gravity
• Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type
• Axial perturbations of black holes in scalar-tensor gravity: near-horizon behaviour
• Horndeski black hole observational properties
• No scalar hair in nonminimal derivative coupling model for Neumann and Dirichlet reflecting star