Gravitational Waves from an Axi-symmetric Source in the Nonsymmetric Gravitational Theory

TL;DR

This paper investigates gravitational waves within the framework of Nonsymmetric Gravitational Theory (NGT) for axi-symmetric systems, deriving solutions and analyzing mass and energy flux behavior during radiation.

Contribution

It provides exact solutions for axi-symmetric NGT systems and analyzes the conditions under which mass remains constant or decreases due to gravitational radiation.

Findings

Mass remains constant only in static systems

Radiating systems show decreasing mass over time

Energy flux associated with gravitational waves is positive

Abstract

We examine gravitational waves in an isolated axi--symmetric reflexion symmetric NGT system. The structure of the vacuum field equations is analyzed and the exact solutions for the field variables in the metric tensor are found in the form of expansions in powers of a radial coordinate. We find that in the NGT axially symmetric case the mass of the system remains constant only if the system is static (as it necessarily is in the case of spherical symmetry). If the system radiates, then the mass decreases monotonically and the energy flux associated with waves is positive.