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Graviton in a Curved Space-Time Background and Gauge Symmetry

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-Fierz can be extended only to curved space-time regions where Ricci tensor vanishes. In all such space-time models the generally covariant S=2 massless wave equation exhibits gauge symmetry property, otherwise it is not so.

preprint2011arXivOpen access
V. M. Red'kovN. G. TokarevskayaV. V. Kisel
math-phmath.MPgr-qc
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V. M. Red'kovN. G. TokarevskayaV. V. Kisel

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