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arXiv · 1709.08738

A note on the uniqueness of the dRGT massive gravity theory

Máximo Bañados
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Abstract

We revisit the problem of gravity coupled to a background metric $\eta_{\mu\nu}$, looking for ghost free interactions. It is known that elimination of the Boulware-Desewr ghost is equivalent to a certain Hessian condition on the interacting potential. We elaborate on this equation and provide a proof that dRGT potential is the unique interaction between the spacetime metric and a background field $\eta_{\mu\nu}$ which is both Lorentz invariant and ghost free. Our approach is fully non-perturbative using only the ADM formulation of general relativity.

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Máximo Bañados. 2017-09-25. A note on the uniqueness of the dRGT massive gravity theory. https://doi.org/10.1134/s0202289318040047

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