Abstract

NIETO, J.A; SAUCEDO, J  and  VILLANUEVA, V.M. Geodesic deviation equation for relativistic tops and the detection of gravitational waves. Rev. mex. fis. [online]. 2007, vol.53, suppl.2, pp.141-145. ISSN 0035-001X.

In this contribution, we review the derivation of the relativistic top geodesic deviation equation. This equation results in a generalization of the geodesic deviation equation for a pair of nearby point particles. This property is taken into account in investigating the detection of gravitational waves, and we show how our generalized formula for a relativistic top can be used to study the gravitational wave backgrounds. Besides of these facts, we argue that our formulation may be of special interest for detecting the inflationary gravitational waves via the polarization of the cosmic background radiation.

Keywords : Geodesic equation; relativistic top; gravitational waves.

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