Abstract
The manifest covariance condition of Currie and Hill for a relativistic Lagrangian N-particle theory is generalized for a Lagrangian relativistic string theory. The corresponding Currie–Hill equations are derived. We can analyze the emerging problem only in a particular case, and we obtain only a trivial solution for the Lagrangian. This seems to indicate that a non-constrained Lagrangian formalism is not very suitable for the description of a relativistic string.
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