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Exact sets of test uncharged massive spin 3/2 fields in general relativity

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Abstract

A theorem giving the necessary and sufficient conditions for Penrose's exact sets of spinor fields in curved spacetimes is proved. An algorithm for augmenting a system of fields to an exact set and constructing covariant Taylor expansions for the fields of an exact set is proposed. The general approach is applied to test massive spin 3/2 fields. Two possible forms of exact sets are constructed for them on the basis of modified Dirac-Fierz-Pauli equations. The functional arbitrariness in the solutions of the equations for exact sets is determined. In one of the cases, the obtained exact set can be interpreted as a system of fields of spins 3/2 and 1/2 interacting through the gravitational field.

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Authors
  1. Yu. N. Kudrya
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Additional information

State University, Kiev. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 102, No. 1, pp. 119–133, January, 1995.

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Kudrya, Y.N. Exact sets of test uncharged massive spin 3/2 fields in general relativity. Theor Math Phys 102, 87–97 (1995). https://doi.org/10.1007/BF01017459

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  • DOI: https://doi.org/10.1007/BF01017459

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