Using long-baseline interferometric gravitational waves detectors for high precision measures of the gravitational acceleration

TL;DR

This paper explores how long-baseline interferometric gravitational wave detectors can be used for high-precision measurements of gravitational acceleration, analyzing mirror tilt effects and their potential as a measurement tool.

Contribution

It derives the impact of mirror tilts on optical path length fluctuations and discusses their potential use in high-precision gravity measurements with advanced interferometers.

Findings

Mirror tilt-induced noise is negligible in first-generation detectors.

Potential for high-precision gravitational acceleration measurements.

Could surpass existing gravimeters with future sensitivity improvements.

Abstract

A derivation of the optical axis lenght fluctations due by tilts of the mirrors of the Fabry-Perot cavity of long-baseline interferometers for the detection of gravitational waves in presence of the gravitational field of the earth is discussed. By comparing with the typical tilt-induced noises it is shown that this potential signal, which is considered a weak source of noise, is negligible for the first generation of gravitational waves interferometers, but, in principle, this effect could be used for high precision measures of the gravitational acceleration if advanced projects will achieve an high sensitivity. In that case the precision of the misure could be higher than the gravimeter realized by the Istituto di Metrologia ``Gustavo Colonnetti''.