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

TL;DR

This paper investigates gravitational waves in an axi-symmetric Nonsymmetric Gravitation Theory (NGT), deriving solutions and analyzing mass behavior and energy flux during radiation in such systems.

Contribution

It provides exact solutions for axi-symmetric NGT systems and analyzes how mass and energy flux behave during gravitational radiation, extending understanding beyond spherical symmetry.

Findings

Mass remains constant only in static systems

Mass decreases monotonically when the system radiates

Energy flux associated with 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.