Differential geometry and scalar gravitational waves

TL;DR

This paper revises the theoretical framework of scalar gravitational waves using differential geometry, correcting past errors and analyzing interferometer responses across all frequencies and angles.

Contribution

It provides corrected formulations based on differential geometry for scalar gravitational waves and extends the analysis of interferometer responses to full frequency and angular ranges.

Findings

Results align with recent literature on SGWs.

Interferometer response computed for all frequencies and angles.

Corrections address previous errors in the literature.

Abstract

Following some strong argumentations of differential geometry in the Landau's book, some corrections about errors in the old literature on scalar gravitational waves (SGWs) are given and discussed. In the analysis of the response ofi nterferometers the computation is first performed in the low frequencies approximation, then the analysis is applied to all SGWs in the full frequency and angular dependences. The presented results are in agreement with the more recent literature on SGWs.