skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Failures of homogeneous and isotropic cosmologies in extended quasidilaton massive gravity

Abstract

We analyze the extended quasidilaton massive gravity model around a Friedmann-Lemaître-Robertson-Walker cosmological background. We present a careful stability analysis of asymptotic fixed points. We find that the traditional fixed point cannot be approached dynamically, except from a perfectly fine-tuned initial condition involving both the quasidilaton and the Hubble parameter. A less-well examined fixed-point solution, where the time derivative of the zeroth Stückelberg field vanishes $${\stackrel{{}}{{\phi}}}^{0}=0$$, encounters no such difficulty, and the fixed point is an attractor in some finite region of initial conditions. We examine the question of the presence of a Boulware-Deser ghost in the theory. We show that the additional constraint that generically allows for the elimination of the Boulware-Deser mode is only present under special initial conditions. We find that the only possibility corresponds to the traditional fixed point and the initial conditions are the same fine-tuned conditions that allow the fixed point to be approached dynamically.

Authors:
 [1];  [2];  [3];  [2]
  1. PSL Research Univ. and Univ. Paris Diderot, Meudon (France). Paris Observatory; Paris Inst. of Astrophysics (IAP) (France); Case Western Reserve Univ., Cleveland, OH (United States). Dept. of Physics. CERCA. Inst. for the Science of Origins
  2. Case Western Reserve Univ., Cleveland, OH (United States). Dept. of Physics. CERCA. Inst. for the Science of Origins
  3. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
Publication Date:
Research Org.:
Case Western Reserve Univ., Cleveland, OH (United States); Paris Inst. of Astrophysics (IAP) (France); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); European Research Council (ERC)
OSTI Identifier:
1498879
Grant/Contract Number:  
SC0009946; 279954
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 8; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; alternative gravity theories; dark energy; evolution of the universe; gravitation

Citation Formats

Anselmi, Stefano, Kumar, Saurabh, Nacir, Diana López, and Starkman, Glenn D. Failures of homogeneous and isotropic cosmologies in extended quasidilaton massive gravity. United States: N. p., 2017. Web. doi:10.1103/physrevd.96.084001.
Anselmi, Stefano, Kumar, Saurabh, Nacir, Diana López, & Starkman, Glenn D. Failures of homogeneous and isotropic cosmologies in extended quasidilaton massive gravity. United States. doi:10.1103/physrevd.96.084001.
Anselmi, Stefano, Kumar, Saurabh, Nacir, Diana López, and Starkman, Glenn D. Tue . "Failures of homogeneous and isotropic cosmologies in extended quasidilaton massive gravity". United States. doi:10.1103/physrevd.96.084001. https://www.osti.gov/servlets/purl/1498879.
@article{osti_1498879,
title = {Failures of homogeneous and isotropic cosmologies in extended quasidilaton massive gravity},
author = {Anselmi, Stefano and Kumar, Saurabh and Nacir, Diana López and Starkman, Glenn D.},
abstractNote = {We analyze the extended quasidilaton massive gravity model around a Friedmann-Lemaître-Robertson-Walker cosmological background. We present a careful stability analysis of asymptotic fixed points. We find that the traditional fixed point cannot be approached dynamically, except from a perfectly fine-tuned initial condition involving both the quasidilaton and the Hubble parameter. A less-well examined fixed-point solution, where the time derivative of the zeroth Stückelberg field vanishes ${\stackrel{{}}{{\phi}}}^{0}=0$, encounters no such difficulty, and the fixed point is an attractor in some finite region of initial conditions. We examine the question of the presence of a Boulware-Deser ghost in the theory. We show that the additional constraint that generically allows for the elimination of the Boulware-Deser mode is only present under special initial conditions. We find that the only possibility corresponds to the traditional fixed point and the initial conditions are the same fine-tuned conditions that allow the fixed point to be approached dynamically.},
doi = {10.1103/physrevd.96.084001},
journal = {Physical Review D},
number = 8,
volume = 96,
place = {United States},
year = {2017},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

On cosmological perturbations of quasidilaton
journal, September 2013


Essentials of k -essence
journal, April 2001


Extreme parameter sensitivity in quasidilaton massive gravity
journal, October 2015


Revisiting perturbations in extended quasidilaton massive gravity
journal, April 2015


Towards consistent extension of quasidilaton massive gravity
journal, January 2014


Stable FLRW solutions in generalized massive gravity
journal, November 2014

  • de Rham, Claudia; Fasiello, Matteo; Tolley, Andrew J.
  • International Journal of Modern Physics D, Vol. 23, Issue 13
  • DOI: 10.1142/S0218271814430068

Cosmic expansion in extended quasidilaton massive gravity
journal, February 2015


Mass-varying massive gravity
journal, December 2012


Massive cosmologies
journal, December 2011


Dynamics of dark Energy
journal, November 2006

  • Copeland, Edmund J.; Sami, M.; Tsujikawa, Shinji
  • International Journal of Modern Physics D, Vol. 15, Issue 11
  • DOI: 10.1142/S021827180600942X

Generalized quasidilaton theory
journal, December 2013

  • De Felice, Antonio; Gümrükçüoğlu, A. Emir; Mukohyama, Shinji
  • Physical Review D, Vol. 88, Issue 12
  • DOI: 10.1103/PhysRevD.88.124006

Resolving the Ghost Problem in Nonlinear Massive Gravity
journal, January 2012


Consistent Extension of Quasidilaton Massive Gravity
journal, January 2014


Self-accelerating massive gravity: Superluminality, Cauchy surfaces, and strong coupling
journal, August 2015


Quasidilaton nonlinear massive gravity: Investigations of background cosmological dynamics
journal, June 2013


Role of matter in extended quasidilaton massive gravity
journal, December 2016

  • Gümrükçüoğlu, A. Emir; Koyama, Kazuya; Mukohyama, Shinji
  • Physical Review D, Vol. 94, Issue 12
  • DOI: 10.1103/PhysRevD.94.123510

A new quasidilaton theory of massive gravity
journal, December 2014


Resummation of Massive Gravity
journal, June 2011


Quasidilaton: Theory and cosmology
journal, March 2013


xPand : an algorithm for perturbing homogeneous cosmologies
journal, July 2013


Cosmological perturbations in extended massive gravity
journal, July 2013

  • Gümrükçüoğlu, A. Emir; Hinterbichler, Kurt; Lin, Chunshan
  • Physical Review D, Vol. 88, Issue 2
  • DOI: 10.1103/PhysRevD.88.024023

New branches of massive gravity
journal, June 2015