volume 42, issue 6, P2057-2068 1990
DOI: 10.1103/physrevd.42.2057
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Abstract: Using Wald's consistency criteria, we exhibit classes of nonlinear theories of a spin-two field that do not have general covariance. We consider the nonlinear generalization of linear equations of motion for a symmetric two-tensor field yob, and find a class of consistent theories which, when interpreted in terms of a metric, are invariant under the infinitesimal gauge transformation yo, + yOb +V,,VCKicb), where KOb is an arbitrary two-form field. In addition, we find classes of theories that are conformally …

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