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2012
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Y. Akrami, T. S. Koivisto, and M. Sandstad, “Cosmological constraints on ghost-free bigravity: background dynamics and late-time acceleration,” ArXiv e-prints (2013), arXiv:1302.5268 [astro-ph.CO]
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Then

Ippocratis D. Saltas, Ignacy Sawicki, Luca Amendola, and Martin Kunz, “Anisotropic Stress as a Signature of Nonstandard Propagation of Gravitational Waves,” Phys.Rev.Lett. 113
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2014
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2014
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Lixin Xu, “Gravitational Waves: A Test for Modified Gravity,” (2014), arXiv:1410.6977 [astro-ph.CO]
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2014
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Luca Amendola, Guillermo Ballesteros, and Valeria Pettorino, “Effects of modified gravity on B-mode polarization,” Phys.Rev. D90
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2015

Tensor Modes in Bigravity: Primordial to Present

Johnson, Matthew, Terrana, Alexandra

Understand

Massive bigravity, a theoretically consistent modification of general relativity with an additional dynamical rank two tensor, successfully describes the observed accelerated expansion of the Universe without a cosmological constant.

Recent analyses of perturbations around a cosmological background have revealed power law instabilities in both scalar and tensor perturbations, motivating an analysis of the initial conditions, evolution, and cosmological observables to determine the viability of these theories.
In this paper we focus on the tensor sector, and study a primordial stochastic gravitational wave background in massive bigravity.
The phenomenology can differ from standard General Relativity due to non-trivial mixing between the two linearized tensor fluctuations in the theory, only one of which couples to matter.