Forecasts for Low Spin Black Hole Spectroscopy in Horndeski Gravity

Abstract

We investigate the prospect of using black hole spectroscopy to constrain the parameters of Horndeski gravity through observations of gravitational waves from perturbed black holes. We study the gravitational waves emitted during ringdown from black holes without hair in Horndeski gravity, demonstrating the qualitative differences between such emission in General Relativity and Horndeski theory. In particular, Quasi-Normal Mode frequencies associated with the scalar field spectrum can appear in the emitted gravitational radiation. Analytic expressions for error estimates for both the black hole and Horndeski parameters are calculated using a Fisher Matrix approach, with constraints on the `effective mass' of the Horndeski scalar field of order $\sim 10^{-17}$eV$c^{-2}$ or tighter being shown to be achievable in some scenarios. Estimates for the minimum signal-noise-ratio required to observe such a signal are also presented.

Updated to match published version

References in corpus (19)

• Dark Energy after GW170817: dead ends and the road ahead
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Healthy theories beyond Horndeski
• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Exploring gravitational theories beyond Horndeski
• Gravitational wave searches for ultralight bosons with LIGO and LISA
• Superradiant instabilities in astrophysical systems
• Stochastic and resolvable gravitational waves from ultralight bosons
• Matched-filtering and parameter estimation of ringdown waveforms
• I-Love-Q, Spontaneously: Slowly Rotating Neutron Stars in Scalar-Tensor Theories
• Quasinormal ringing of Kerr black holes: The excitation factors
• Self-interactions and Spontaneous Black Hole Scalarization
• Testing the no-hair theorem with black hole ringdowns using TIGER
• Quasinormal modes of Einstein-Gauss-Bonnet-dilaton black holes
• Perturbed Kerr Black Holes can probe deviations from General Relativity
• Ultralight boson cloud depletion in binary systems
• Novel Black-Hole Solutions in Einstein-Scalar-Gauss-Bonnet Theories with a Cosmological Constant
• Quasi-normal modes of black holes in scalar-tensor theories with non-minimal derivative couplings

Cited by in corpus (6)

• Parametrized ringdown spin expansion coefficients: a data-analysis framework for black-hole spectroscopy with multiple events
• On the Existence of Solutions with a Horizon in Pure Scalar-Gauss-Bonnet Theories
• Eikonal quasinormal modes of black holes beyond general relativity III: scalar Gauss-Bonnet gravity
• Eikonal quasinormal modes of black holes beyond general relativity II: generalised scalar-tensor perturbations
• Odd-parity perturbations of the wormhole-like geometries and quasi-normal modes in Einstein-Æther theory
• Scale Invariant Gravity and Black Hole Ringdown