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Propagation of perturbations in non-linear spin-2 theories

Santiago E. Perez Bergliaffa
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Abstract

In this communication I analyze the problem of complete exceptionality of wave propagation in a class of spin 2 field theories. I show that, under the imposition of the good weak-field limit, only two Lagrangians are completely exceptional. These are the linear Fierz Lagrangian, and a Born-Infeld-like Lagrangian. As a byproduct, I reobtain the result that in a nonlinear theory, spin 2 particles follow an effective metric that depends on the nonlinearities of the Lagrangian.

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Santiago E. Perez Bergliaffa. 2003-02-10. Propagation of perturbations in non-linear spin-2 theories. https://arxiv.org/abs/gr-qc/0302031

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