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Title: Matter coupling in partially constrained vielbein formulation of massive gravity
Authors: De Felice, Antonio
Gumrukcuoglu, A. Emir
Heisenberg, Lavinia
Mukohyama, Shinji  kyouindb  KAKEN_id
Author's alias: 向山, 信治
Keywords: modified gravity
cosmological perturbation theory
dark energy theory
Issue Date: 4-Jan-2016
Publisher: IOP Publishing
Journal title: Journal of Cosmology and Astroparticle Physics
Volume: 2016
Thesis number: 003
Abstract: 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.
Rights: Article funded by SCOAP. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
DOI(Published Version): 10.1088/1475-7516/2016/01/003
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