Some questions to experimental gravity

TL;DR

This paper discusses fundamental questions in experimental gravity, including gauge problems, physical interpretation of solutions, and the implications of different gauge fixings, aiming to clarify conceptual issues in general relativity.

Contribution

It explores unresolved issues in gauge fixing and physical interpretation in Einstein's equations, highlighting open problems and pedagogical insights.

Findings

Identifies key open problems in gauge fixing in general relativity

Highlights the ambiguity in physical interpretation of solutions

Discusses the significance of gauge choices in linear approximations

Abstract

The interpretations of solutions of Einstein field's equations led to the prediction and the observation of physical phenomena which confirm the important role of general relativity, as well as other relativistic theories in physics. In this connection, the following questions are of interest and importance: whether it is possible to solve the gauge problem and of its physical significance, which one of the solutions gives the right description of the observed values, how to clarify the physical meaning of the coordinates which is unknown a priori, and why applying the same physical requirements in different gauge fixing, we obtain different linear approximations. We discuss some of the problems involved and point out several open problems. The paper is written mainly for pedagogical purposes.