论文标题
带重力波观测的贝叶斯度量重建
Bayesian Metric Reconstruction with Gravitational Wave Observations
论文作者
论文摘要
重力延伸或修改一般相对论的理论通常允许与Schwarzschild/Kerr几何形状不同的黑洞溶液。电磁观测已被用来对Schwarzschild/Kerr指标的参数偏差的约束，以洞悉对潜在的引力理论。在这项工作中，我们表明，现有和将来的干涉仪对重力准正常模式的观察可用于绑定受电磁观测值约束的相同参数化的黑洞指标（例如，通过事件地平线望远镜）。我们认为，我们的技术对圆形光子轨道附近的背景黑洞度量的变化最敏感，并且它与重力理论不同于一般相对论的重力理论必不可少的变化是强大的，因此在重力扰动方程中必然引入。我们通过使用贝叶斯方法从一组模拟观测值中重建背景度量来证明我们的方法。
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.
