Bayesian Metric Reconstruction with Gravitational Wave Observations

TL;DR

This paper proposes a Bayesian method to constrain parametrized black hole metrics using gravitational wave observations, complementing electromagnetic constraints and focusing on the photon orbit region.

Contribution

It introduces a novel approach to reconstruct black hole metrics from gravitational wave data, emphasizing robustness and sensitivity near the photon orbit.

Findings

Method effectively reconstructs background metrics from simulated data.

Approach is robust against perturbation equation modifications.

Sensitivity peaks near the circular photon orbit.

Abstract

Theories of gravity extending or modifying general relativity typically allow for black hole solutions different from the Schwarzschild/Kerr geometries. Electromagnetic observations have been used to place constraints on parametrized deviations from the Schwarzschild/Kerr metrics, in an effort to gain insight on the underlying gravitational theory. In this work, we show that observations of the gravitational quasi-normal modes by existing and future interferometers can be used to bound the same parametrized black hole metrics that are constrained by electromagnetic observations (e.g. by the Event Horizon Telescope). We argue that our technique is most sensitive to changes in the background black hole metric near the circular photon orbit, and that it is robust against the changes that a gravitational theory differing from general relativity necessarily introduces in the equations for the gravitational perturbations. We demonstrate our approach by reconstructing the background metric from a set of simulated observations using a Bayesian approach.