Gravitational Waves: An Introduction
Abstract
In this article, I present an elementary introduction to the theory of gravitational waves. This article is meant for students who have had an exposure to general relativity, but, results from general relativity used in the main discussion have been derived and discussed in the appendices. The weak gravitational field approximation is first considered and the linearized Einstein's equations are obtained. We discuss the plane wave solutions to these equations and consider the transversetraceless (TT) gauge. We then discuss the motion of test particles in the presence of a gravitational wave and their polarization. The method of Green's functions is applied to obtain the solutions to the linearized field equations in presence of a nonrelativistic, isolated source.
 Publication:

arXiv eprints
 Pub Date:
 August 1999
 arXiv:
 arXiv:physics/9908041
 Bibcode:
 1999physics...8041C
 Keywords:

 Physics  Physics Education;
 Physics  Popular Physics
 EPrint:
 Lecture notes presenting an elementary introduction to the theory of gravitational waves. To be submitted to Resonance, Journal of Science Education with a lesser mathematical content. For later revisions, see http://www.mri.ernet.in/~indrajit/pubs.html