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Title: New quasidilaton theory in partially constrained vielbein formalism

Abstract

In this work we study the partially constrained vielbein formulation of the new quasidilaton theory of massive gravity, where the quasidilaton field couples to both physical and fiducial metrics simultaneously via a composite effective metric and Lorentz violation is introduced by a constraint on the vielbein. This formalism improves the new quasidilaton model since the Boulware-Deser ghost is removed fully non-linearly at all scales. This also yields crucial implications in the cosmological applications. We derive the governing cosmological background evolution and study the stability of the attractor solution.

Authors:
 [1];  [2];  [3];  [1];  [4];  [5]
  1. Center for Gravitational Physics, Yukawa Institute for Theoretical Physics,Kyoto University,606-8502, Kyoto (Japan)
  2. Theoretical Physics Group, Blackett Laboratory, Imperial College London,South Kensington Campus, London, SW7 2AZ (United Kingdom)
  3. Institute for Theoretical Studies, ETH Zurich,Clausiusstrasse 47, 8092 Zurich (Switzerland)
  4. (WPI),UTIAS, The University of Tokyo,Kashiwa, Chiba 277-8583 (Japan)
  5. Department of Applied Mathematics and Theoretical Physics,Centre for Mathematical Sciences, University of Cambridge,Wilberforce Road, Cambridge CB3 0WA (United Kingdom)
Publication Date:
Sponsoring Org.:
SCOAP3, CERN, Geneva (Switzerland)
OSTI Identifier:
22572084
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2016; Journal Issue: 05; Other Information: PUBLISHER-ID: JCAP05(2016)061; OAI: oai:repo.scoap3.org:15759; cc-by 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)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COSMOLOGY; DILATONS; GRAVITATION; LORENTZ INVARIANCE; MATHEMATICAL EVOLUTION; MATHEMATICAL SOLUTIONS; METRICS; NONLUMINOUS MATTER; PERTURBATION THEORY

Citation Formats

Felice, Antonio De, Gümrükçüoğlu, A. Emir, Heisenberg, Lavinia, Mukohyama, Shinji, Kavli Institute for the Physics and Mathematics of the Universe, and Tanahashi, Norihiro. New quasidilaton theory in partially constrained vielbein formalism. United States: N. p., 2016. Web. doi:10.1088/1475-7516/2016/05/061.
Felice, Antonio De, Gümrükçüoğlu, A. Emir, Heisenberg, Lavinia, Mukohyama, Shinji, Kavli Institute for the Physics and Mathematics of the Universe, & Tanahashi, Norihiro. New quasidilaton theory in partially constrained vielbein formalism. United States. doi:10.1088/1475-7516/2016/05/061.
Felice, Antonio De, Gümrükçüoğlu, A. Emir, Heisenberg, Lavinia, Mukohyama, Shinji, Kavli Institute for the Physics and Mathematics of the Universe, and Tanahashi, Norihiro. 2016. "New quasidilaton theory in partially constrained vielbein formalism". United States. doi:10.1088/1475-7516/2016/05/061.
@article{osti_22572084,
title = {New quasidilaton theory in partially constrained vielbein formalism},
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 and Tanahashi, Norihiro},
abstractNote = {In this work we study the partially constrained vielbein formulation of the new quasidilaton theory of massive gravity, where the quasidilaton field couples to both physical and fiducial metrics simultaneously via a composite effective metric and Lorentz violation is introduced by a constraint on the vielbein. This formalism improves the new quasidilaton model since the Boulware-Deser ghost is removed fully non-linearly at all scales. This also yields crucial implications in the cosmological applications. We derive the governing cosmological background evolution and study the stability of the attractor solution.},
doi = {10.1088/1475-7516/2016/05/061},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 05,
volume = 2016,
place = {United States},
year = 2016,
month = 5
}
  • 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 metricmore » formulation. Concerning the vector and scalar perturbations, the requirement of absence of ghost and gradient instabilities yields slightly different allowed parameter space.« less
  • 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 metricmore » formulation. Concerning the vector and scalar perturbations, the requirement of absence of ghost and gradient instabilities yields slightly different allowed parameter space.« less
  • Cited by 74
  • We present a new quasidilaton theory of Poincare invariant massive gravity, based on the recently proposed framework of matter coupling that makes it possible for the kinetic energy of the quasidilaton scalar to couple to both physical and fiducial metrics simultaneously. We find a scaling-type exact solution that expresses a self-accelerating de Sitter universe, and then analyze linear perturbations around it. It is shown that in a range of parameters all physical degrees of freedom have non-vanishing quadratic kinetic terms and are stable in the subhorizon limit, while the effective Newton's constant for the background is kept positive.
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