Gravitational Waves I: Basic Emission Equations

TL;DR

This paper derives the fundamental equations predicting gravitational waves using Einstein's theory, providing a didactic and rigorous explanation suitable for physics students.

Contribution

It presents a clear, step-by-step derivation of the basic gravitational wave equations based on Einstein's theory, aimed at educational purposes.

Findings

Derivation of the basic gravitational wave equations

Mathematically rigorous presentation

Educational focus for physics students

Abstract

Using the Einstein gravitation theory we show how to obtain the basic equations which predict the gravitational waves. This paper was written to graduate and post-graduate students of Physics. We deduce the equations didactically following the simplest way maintaining, however, the necessary mathematical rigor.