Theoretical corrections on scalar gravitational waves

TL;DR

This paper revisits and corrects historical errors in the theoretical understanding of scalar gravitational waves within Scalar-Tensor Gravity, emphasizing the importance of accurate linearized theory for completeness.

Contribution

It provides a detailed correction and clarification of previous theoretical errors in scalar gravitational wave literature, enhancing the understanding of linearized Scalar-Tensor Gravity.

Findings

Errors in old literature are corrected

Interferometric response remains unaffected by these errors

Clarifies the theoretical framework for scalar gravitational waves

Abstract

Following some ideas in the Landau book, some corrections about errors in the old literature on scalar gravitational waves are given and discussed. Even if such errors can be considered not important from the point of view of observations, because they do not alter the interferometric response function for scalar gravitational waves, the presented analysis is due and very important for a sake of completeness and for a better understanding of the linearized theory of Scalar-Tensor Gravity