Propagation of perturbations in non-linear spin-2 theories

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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8 pages, RevTex4, contribution to the Festschrift in honor of Professor Mario Novello's 60th birthday

Scientific paper

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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