Solitons in the Theory of Gravitational Waves

Abstract

The classical theory of general relativity is described by pseudo-Riemannian geometry with the metric given by

$$ d{s^2} = {g_{\mu v}}\left( x \right)d{x^\mu }d{x^v}{\kern 1pt} \left( {\mu ,v = 0,1,2,3} \right) $$

(9.1.1)