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Mathisson-Papapetrou-Tulczyjew-Dixon equations in ultra-relativistic regime and gravimagnetic moment
Journal of Physical Chemistry & Biophysics

Journal of Physical Chemistry & Biophysics
Open Access

ISSN: 2161-0398

+44 1467840001

Mathisson-Papapetrou-Tulczyjew-Dixon equations in ultra-relativistic regime and gravimagnetic moment


International Conference on Physics

June 27-29, 2016 New Orleans, USA

Alexei A Deriglazov

Universidade Federal de Juiz de Fora, Brazil

Posters & Accepted Abstracts: J Phys Chem Biophys

Abstract :

Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations are widely assumed during the seventy years as the basic tool for description of a rotating body in general relativity. We propose the Lagrangian formulation of MPTD equations and analyze them on this base. We show that MPTD equations correspond to the minimal interaction of spin with gravity. Due to the interaction, in the Lagrangian equations instead of the original metric, g emerges spin-dependent effective metric G=g+h(S). So we need to decide, which of them, the MPTD particle sees as the space-time metric. We show that MPTD equations, if considered with respect to original metric, have unsatisfactory behavior: The acceleration in the direction of velocity grows up to infinity in the ultrarelativistic limit. If considered with respect to G, the theory has no such problem. But the metric now depends on spin, so there is no unique space-time manifold for the Universe of spinning particles. Each particle probes its own three-dimensional geometry. This can be improved by adding a non-minimal interaction, and gives the modified MPTD equations with reasonable behavior within the original metric.

Biography :

Email: [email protected]

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