J.A. Nieto*, J. Saucedo** and V.M. Villanueva***
* Escuela de Ciencias Físico–Matemáticas, Universidad Autónoma de Sinaloa, 80010 Culiacán Sinaloa, México.
** Departamento de Investigación en Física de la Universidad de Sonora, 83000 Hermosillo Sonora, México.
*** Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, 58040, Morelia, Michoacán, México.
Recibido el 18 de julio de 2005
Aceptado el 14 de marzo de 2005
Abstract
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.
Resumen
En esta contribución, revisamos la derivación de la ecuación de desviación de geodésicas para trompos relativistas. Esta ecuación es una generalización de la ecuación de geodésicas para un par de objetos puntuales cercanos. Esta propiedad es tomada en cuenta para investigar la detección de ondas gravitacionales, y mostramos cómo nuestra fórmula generalizada para un trompo relativista puede ser usada para estudiar los fondos de ondas gravitacionales. Además de estos hechos, argumentamos que nuestra formulación puede ser de especial interés para detectar las ondas gravitacionales inflacionarias a través de la polarización en la radiación cósmica de fondo.
Descriptores: Ecuación de geodésicas, trompo relativista; ondas gravitacionales.
PACS: 04.60.–m; 04.65.+e; 11.15.–q; 11.30.Ly
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Acknowledgments
J.A. Nieto wishes to thank the DIFUS and the Astronomy Department for their hospitality. VMV wishes to thank the Universidad Michoacana for financial support through Coordinación de Investigación Científica CIC 4.14 and CONACyT project 38293–E.
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