Relativistic Top Deviation Equation and Gravitational Waves

Details Relativistic Top Deviation Equation and Gravitational Waves Relativistic Top Deviation Equation and Gravitational Waves

2003-03-13

arxiv.org/abs/hep-th/0303123v2

Phys.Lett. A312 (2003) 175-186

Physics

High Energy Physics

High Energy Physics - Theory

19 pages LaTex, references added

Scientific paper

10.1016/S0375-9601(03)00623-6

By using the relativistic top theory, we derive a relativistic top deviation equation. This equation turns out to be a generalization of the geodesic deviation equation for a pair of nearby point particles. In fact, we show that when the spin angular momentum tensor associated to the top vanishes, such a relativistic top deviation equation reduces to the geodesic deviation equation for spinless point particles. Just as the geodesic deviation equation for spinless particles can be used to investigate the detection of gravitational waves, our generalized formula for a relativistic top can be used to study the gravitational wave background. Our formulation may be of special interest to detect the inflationary gravitational waves via the polarization of the cosmic background radiation.

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