Nonlinear Phenomena in Complex Systems, 2003, Vol.6, No.3, pp.772-778

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2003, Vol.6, No.3, pp.772-778

Graviton in a Curved Space-Time Background and Gauge Symmetry
Red'kov V.M., Tokarevskaya N.G., Kisel V.V.

Pauli-Fierz approach to description of a massless spin-2 particle is investigated in the framework of 30-component first order relativistic wave equation theory on a curved space-time background. It is shown that additional gauge symmetry of massless equations established by Pauli-Fiertz can be extended only to curved space-time regions with vanishing Ricci tensor. In all such space-time models the generally covariant S=2 massless wave equation exhibits gauge symmetry property, otherwise it is not so.
Key words: spin 2, massless particle, graviton, gauge symmetry, non-minimal coupling

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