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On Equations for a Spin-2 Particle in External Gravitational Field

A. A. Bogush·V. V. Kisel·N. G. Tokarevskaya·V. M. Red'kov
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Abstract

30-component, of the first order, equation for a spin 2 particle, equivalent to the second order Pauli-Fierz one, is generalized to presence of an external electromagnetic field as well as a curved background space-time geometry. The essential property of the generally covariant wave equation obtained is that here from the very beginning, in accordance with requirement of the Pauli-Fierz approach, a set of additional relations on 30-component wave function for eliminating complementary spin 0 and spin 1 fields is present at the starting equation.

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A. A. Bogush, V. V. Kisel, N. G. Tokarevskaya, V. M. Red'kov. 2003-06-28. On Equations for a Spin-2 Particle in External Gravitational Field. https://arxiv.org/abs/hep-th/0306286

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