Spherical Gravitational Waves in Relativistic Theory of Gravitation

TL;DR

This paper derives an exact spherically symmetric gravitational wave solution within relativistic gravitation theory, demonstrating positive energy and discussing implications for Birkhoff's theorem.

Contribution

It presents a new exact spherically symmetric wave solution in relativistic gravitation with positive energy, expanding understanding of gravitational waves in this framework.

Findings

Solution has positive-definite energy and momentum

Discusses the interpretation of Birkhoff's theorem in this context

Provides insights into gravitational wave properties in relativistic gravitation

Abstract

Within the framework of relativistic theory of gravitation the exact spherically-symmetric wave solution is received. It is shown that this solution possesses the positive-definite energy and momentum deriving with the Fock energy-momentum density tensor of gravitational field. In this connection the sense of Birkhoff theorem in Relativistic Theory of Gravitation is discussed.