The Possibility of Checking the Equivalence Principle in a Null Gravitational Redshift by a Two-Resonator Laser System

脉冲星计时阵列引力波探测的后验预测检验：I. 最优统计量

Posterior predictive checking for gravitational-wave detection with pulsar timing arrays: I. The optimal statistic

本文将脉冲星计时阵列引力波探测的混合经典-贝叶斯方案解释为后验预测检验，提出贝叶斯信噪比以准确量化观测显著性，并建立其与贝叶斯因子的校准关系。

Optical cavity resonator in an expanding universe

We study evolution of frequency of a standing electromagnetic (EM) wave in a resonant optical cavity placed to the expanding manifold described by the Robertson-Walker metric. One builds a local coordinate system in which spacetime is locally Minkowskian. However, due to the conformal nature of the Robertson-Walker metric the conventional transformation to the local inertial coordinates introduces ambiguity in the physical interpretation of the local time coordinate. Therefore, contrary to a common-sense expectation, a straightforward implementation of EEP alone does not allow us to decide whe…

On the round-trip time for a photon propagating in the field of a plane gravitational wave

A network of large-scale laser interferometers is currently employed for searches of gravitational waves from various astrophysical sources. The frequency dependence of the dynamic response of these detectors introduces corrections to their antenna patterns which in principle can affect the outcome of the associated data-analysis algorithms. The magnitude of these corrections and the corresponding systematic errors have recently been estimated for searches of periodic and stochastic gravitational waves (CQG 25 (2008) 184017). However, the calculation of the detector response in that paper foll…

Einstein's equivalence principle in cosmology

We study physical consequences of the Einstein equivalence principle (EEP) for a Hubble observer in FLRW universe. We introduce the local inertial coordinates with the help of a special conformal transformation. The local inertial metric is Minkowski-flat and materialized by a congruence of time-like geodesics of static observers. The static observers are equipped with the ideal clocks measuring the proper time that is synchronized with the clocks of the Hubble observer. The local inertial metric is used for physical measurements of spacetime intervals with the ideal clocks and rulers. The spe…