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Related papers: Stable cosmology in ghost-free quasidilaton theory

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The minimal theory of quasidilaton massive gravity with or without a Horndeski-type kinetic term for the quasidilaton field propagates only three physical modes: the two massive tensor polarizations and one scalar mode. This reduced number…

High Energy Physics - Theory · Physics 2019-03-06 Antonio De Felice , Shinji Mukohyama , Michele Oliosi

We present a review of cosmological solutions in non-linear massive gravity, focusing on the stability of perturbations. Although homogeneous and isotropic solutions have been found, these are now known to suffer from either Higuchi ghost…

High Energy Physics - Theory · Physics 2013-09-12 Antonio De Felice , A. Emir Gumrukcuoglu , Chunshan Lin , Shinji Mukohyama

A theory of the quasidilaton is an extension of massive gravity by a scalar field, nonlinearly realizing a certain new global symmetry of the Lagrangian. It has been shown that unlike pure massive gravity, this theory does admit homogeneous…

High Energy Physics - Theory · Physics 2015-06-15 Guido D'Amico , Gregory Gabadadze , Lam Hui , David Pirtskhalava

We study cosmological perturbations around self-accelerating solutions to two extensions of nonlinear massive gravity: the quasi-dilaton theory and the mass-varying theory. We examine stability of the cosmological solutions, and the extent…

High Energy Physics - Theory · Physics 2013-07-19 A. Emir Gumrukcuoglu , Kurt Hinterbichler , Chunshan Lin , Shinji Mukohyama , Mark Trodden

We consider the stability of self-accelerating solutions to extended quasidilaton massive gravity in the presence of matter. By making a second or extended fiducial metric dynamical in this model, matter can cause it to evolve from a…

High Energy Physics - Theory · Physics 2015-05-29 Hayato Motohashi , Wayne Hu

This note is devoted to the Hamiltonian analysis of extension of quasidilaton massive gravity as was proposed recently in [arXiv:1306.5502]. We show that for given formulation of the theory the additional primary constraint that is…

High Energy Physics - Theory · Physics 2013-09-16 J. Kluson

We investigate cosmological behavior in the quasi-Dilaton non-linear massive gravity. We perform a detailed dynamical analysis and examine the stable late-time solutions relevant to late time cosmic acceleration. We demonstrate that a…

General Relativity and Quantum Cosmology · Physics 2013-07-02 Radouane Gannouji , Md. Wali Hossain , M. Sami , Emmanuel N. Saridakis

We report on our independent investigations of the puzzle of cosmological perturbations in extended quasidilaton. We confirm the claims of presence of the Boulware-Deser ghost. We use both the language of cosmological perturbations with…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Alexey Golovnev , Aleksandr Trukhin

In this work we study the partially constrained vielbein formulation of the new quasidilaton theory of massive gravity which couples to both physical and fiducial metrics simultaneously via a composite effective metric. This formalism…

High Energy Physics - Theory · Physics 2016-06-01 Antonio De Felice , A. Emir Gümrükçüoğlu , Lavinia Heisenberg , Shinji Mukohyama , Norihiro Tanahashi

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…

High Energy Physics - Theory · Physics 2015-06-23 Shinji Mukohyama

We show that a class of nonlocal gravity models, proposed to explain current cosmic acceleration without dark energy, passes two major tests: First, they can be defined so as not to alter the, observationally correct, general relativity…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-19 S. Deser , R. P. Woodard

Quasidilaton massive gravity is an extension of massive General Relativity to a theory with additional scale invariance and approximate internal Galilean symmetry. The theory has a novel self-accelerated solution with the metric…

High Energy Physics - Theory · Physics 2014-07-16 Gregory Gabadadze , Rampei Kimura , David Pirtskhalava

Within the theory of the ghost-free bigravity, we present the most general cosmological solution for which the physical metric is homogeneous and isotropic, while the second metric is inhomogeneous. The solution includes a matter source and…

High Energy Physics - Theory · Physics 2015-06-05 Mikhail S. Volkov

We present a cosmological model with a solution that self-accelerates at late-times without signs of ghost instabilities on small scales. The model is a natural extension of the Brans-Dicke (BD) theory including a non-linear derivative…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-08 Fabio P Silva , Kazuya Koyama

We study cosmological perturbations in the minimal theory of mass-varying massive gravity (MTMVMG), a constrained extension of mass-varying massive gravity that propagates only three physical degrees of freedom. We show that MTMVMG admits a…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Ahmad Khoirul Falah , Andy Octavian Latief , Husin Alatas , Bobby Eka Gunara

In this study, we introduce an extension of the quasi-dilaton massive gravity theory and derive the field equations by varying the action with respect to the metric. This extension elucidates the dynamics of the system and demonstrates how…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Sobhan Kazempour , Amin Rezaei Akbarieh , Sichun Sun , Chengye Yu

We analyze the Extended Quasi-Dilaton Massive Gravity model around a Friedmann-Lema\^itre-Robertson-Walker cosmological background. We present a careful stability analysis of asymptotic fixed points. We find that the traditional fixed point…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-24 Stefano Anselmi , Saurabh Kumar , Diana López Nacir , Glenn D. Starkman

We present a thorough analysis of the cosmological perturbations in Generalised Massive Gravity. This is an extension of de Rham-Gabadadze-Tolley theory where the translation invariance in the St\"uckelberg field space is broken. This…

High Energy Physics - Theory · Physics 2020-04-15 Michael Kenna-Allison , A. Emir Gumrukcuoglu , Kazuya Koyama

The theory of nonlinear massive gravity can be extended into the F(R) form as developed in Phys.Rev.D90, 064051 (2014). Being free of the Boulware-Deser ghost, such a construction has the additional advantage of exhibiting no linear…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-08 Yi-Fu Cai , Emmanuel N. Saridakis

The extended quasidilaton theory is one of the simplest Lorentz-invariant massive gravity theories which can accommodate a stable self-accelerating vacuum solution. In this paper we revisit this theory and study the effect of matter fields.…

High Energy Physics - Theory · Physics 2016-12-15 A. Emir Gumrukcuoglu , Kazuya Koyama , Shinji Mukohyama
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