Matter coupling in partially constrained vielbein formulation of massive gravity
- Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)
- School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD (United Kingdom)
- Institute for Theoretical Studies, ETH Zurich, Clausiusstrasse 47, 8092 Zurich (Switzerland)
We consider a linear effective vielbein matter coupling without introducing the Boulware-Deser ghost in ghost-free massive gravity. This is achieved in the partially constrained vielbein formulation. We first introduce the formalism and prove the absence of ghost at all scales. As next we investigate the cosmological application of this coupling in this new formulation. We show that even if the background evolution accords with the metric formulation, the perturbations display important different features in the partially constrained vielbein formulation. We study the cosmological perturbations of the two branches of solutions separately. The tensor perturbations coincide with those in the metric formulation. Concerning the vector and scalar perturbations, the requirement of absence of ghost and gradient instabilities yields slightly different allowed parameter space.
- OSTI ID:
- 22525088
- Journal Information:
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 01; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
- Country of Publication:
- United States
- Language:
- English
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