Abstract
The simplest manifestly covariant unitary representation of the Poincaré group for zero mass and spin 2 is constructed. This representation is carried by fourth rank tensors which satisfy the equations of the Riemann curvature tensor in the linearized theory of gravitation in vacuo. In particular, the requirement of unitarity implies the Bianchi identities.
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Work supported by the Swiss National Foundation.
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Niederer, U. Group theory of the massless spin 2 field and gravitation. Gen Relat Gravit 6, 433–437 (1975). https://doi.org/10.1007/BF00762448
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DOI: https://doi.org/10.1007/BF00762448