On the trace of the energy-momentum tensor of fields associated with particles of zero rest mass

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Abstract
The traceTof the metrical energy-momentum tensorTklof fields associated with particles of zero rest mass may be zero, either identically or as a consequence of the field equations. This property ofTklis correlated here with the behaviour of the Lagrangian of the field under arbitrary conformal transformations. Certain classes of special fields are considered explicitly. It is shown in particular thatTvanishes for all non-zero spin fields which correspond respectively to the two-component neutrino field or the photon field.

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