Matter coupling in partially constrained vielbein formulation of massive gravity
Abstract
We consider a linear effective vielbein matter coupling without introducing the BoulwareDeser ghost in ghostfree 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.
 Authors:

 Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 6068502 (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)
 Publication Date:
 Sponsoring Org.:
 SCOAP3, CERN, Geneva (Switzerland)
 OSTI Identifier:
 22458445
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Cosmology and Astroparticle Physics
 Additional Journal Information:
 Journal Volume: 2016; Journal Issue: 01; Other Information: PUBLISHERID: JCAP01(2016)003; OAI: oai:repo.scoap3.org:13306; ccby Article funded by SCOAP3. 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.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 14757516
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GALACTIC EVOLUTION; GRAVITATION; INSTABILITY; MATHEMATICAL SOLUTIONS; METRICS; PERTURBATION THEORY
Citation Formats
Felice, Antonio De, Gümrükçüoğlu, A. Emir, Heisenberg, Lavinia, Mukohyama, Shinji, and Kavli Institute for the Physics and Mathematics of the Universe,Todai Institutes for Advanced Study, University of Tokyo. Matter coupling in partially constrained vielbein formulation of massive gravity. United States: N. p., 2016.
Web. doi:10.1088/14757516/2016/01/003.
Felice, Antonio De, Gümrükçüoğlu, A. Emir, Heisenberg, Lavinia, Mukohyama, Shinji, & Kavli Institute for the Physics and Mathematics of the Universe,Todai Institutes for Advanced Study, University of Tokyo. Matter coupling in partially constrained vielbein formulation of massive gravity. United States. doi:10.1088/14757516/2016/01/003.
Felice, Antonio De, Gümrükçüoğlu, A. Emir, Heisenberg, Lavinia, Mukohyama, Shinji, and Kavli Institute for the Physics and Mathematics of the Universe,Todai Institutes for Advanced Study, University of Tokyo. Mon .
"Matter coupling in partially constrained vielbein formulation of massive gravity". United States. doi:10.1088/14757516/2016/01/003.
@article{osti_22458445,
title = {Matter coupling in partially constrained vielbein formulation of massive gravity},
author = {Felice, Antonio De and Gümrükçüoğlu, A. Emir and Heisenberg, Lavinia and Mukohyama, Shinji and Kavli Institute for the Physics and Mathematics of the Universe,Todai Institutes for Advanced Study, University of Tokyo},
abstractNote = {We consider a linear effective vielbein matter coupling without introducing the BoulwareDeser ghost in ghostfree 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.},
doi = {10.1088/14757516/2016/01/003},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {14757516},
number = 01,
volume = 2016,
place = {United States},
year = {2016},
month = {1}
}