Using the semi-inverse method [He. Variational principles for some nonlinear partial differential equations with variable coefficients. Chaos Solitons & Fractals 2004;19(4):847–851], a generalized Poincaré-invariant action using the tetrad in any number of dimensions is obtained. The so-obtained generalized action with a free parameter might find potential applications in bosonic strings and E-infinity theory.
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