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We study the first cosmological implications of the mimetic theory of massive gravity recently proposed by Chamseddine and Mukhanov. This is a novel theory of ghost-free massive gravity which additionally contains a mimetic dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-03 Adam R. Solomon , Valeri Vardanyan , Yashar Akrami

In this letter, we consider cosmological solutions of bimetric theory without assuming that only one metric is coupled to gravity. We conclude that any cosmology can be described by fixing the matter content of the space that we are not…

General Relativity and Quantum Cosmology · Physics 2013-01-21 Salvatore Capozziello , Prado Martin-Moruno

We find the general behaviour of homogeneous and isotropic cosmological models in some fourth-order theories of gravity. Explicit, exact, general solutions are given for both empty universes and those filled with a perfect fluid. For the…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Timothy Clifton

For the description of the Universe expansion, compatible with observational data, a model of modified gravity - Lovelock gravity with dilaton - is investigated. D-dimensional space with 3- and (D-4)-dimensional maximally symmetric…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Ilya V. Kirnos , Andrew N. Makarenko

Bimetric theory describes gravitational interactions in the presence of an extra spin-2 field. Previous work has suggested that its cosmological solutions are generically plagued by instabilities. We show that by taking the Planck mass for…

General Relativity and Quantum Cosmology · Physics 2015-07-07 Yashar Akrami , S. F. Hassan , Frank Könnig , Angnis Schmidt-May , Adam R. Solomon

Homogeneous isotropic cosmological models built in the framework of the Poincar\'e gauge theory of gravity based on general expression of gravitational Lagrangian with indefinite parameters are analyzed. Special points of cosmological…

General Relativity and Quantum Cosmology · Physics 2014-12-23 A. S. Garkun , V. I. Kudin , A. V. Minkevich

We study cosmological perturbations for a ghost free massive gravity theory formulated with a dynamical extra metric that is needed to massive deform GR. In this formulation FRW background solutions fall in two branches. In the dynamics of…

High Energy Physics - Theory · Physics 2012-07-12 Marco Crisostomi , Denis Comelli , Luigi Pilo

We investigate the cosmology of SO(3)-invariant massive gravity with 5 degrees of freedom. In contrast with previous studies, we allow for a non-trivial fiducial metric, which can be justified by invoking, for example, a dilaton-like global…

High Energy Physics - Theory · Physics 2015-06-19 David Langlois , Shinji Mukohyama , Ryo Namba , Atsushi Naruko

This review is dedicated to recent progress in the field of classical, interacting, massive spin-2 theories, with a focus on ghost-free bimetric theory. We will outline its history and its development as a nontrivial extension and…

High Energy Physics - Theory · Physics 2016-03-31 Angnis Schmidt-May , Mikael von Strauss

We study the stability of a spherically symmetric perturbation around the flat Friedmann-Lema$\hat{\i}$tre-Robertson-Walker spacetime in the ghost-free bigravity theory, retaining nonlinearities of the helicity-$0$ mode of the massive…

High Energy Physics - Theory · Physics 2015-09-02 Katsuki Aoki , Kei-ichi Maeda , Ryo Namba

We present a bi-metric theory of gravity containing a length scale of galactic size. For distances less than this scale the theory satisfies the standard tests of General Relativity. For distances greater than this scale the theory yields…

Astrophysics · Physics 2009-10-31 I. T. Drummond

In bigravity, when taking into account the potential existence of matter fields minimally coupled to the second gravitation sector, the dynamics of our Universe depends on some matter that cannot be observed in a direct way. In this paper,…

General Relativity and Quantum Cosmology · Physics 2018-03-02 Mariam Bouhmadi-López , Salvatore Capozziello , Prado Martín-Moruno

We present a simple procedure to obtain all de Sitter solutions in the ghost-free massive gravity theory by using the Gordon ansatz. For these solutions the physical metric can be conveniently viewed as describing a hyperboloid in 5D…

High Energy Physics - Theory · Physics 2015-10-21 Charles Mazuet , Mikhail S. Volkov

We obtain a set of exact gravitational wave solutions for the ghost free bimetric theory of gravity. With a flat reference metric, the theory admits the vacuum Brinkmann plane wave solution for suitable choices of the coefficients of…

High Energy Physics - Theory · Physics 2012-11-16 Morteza Mohseni

An auxiliary metric (reference metric) is inevitable in massive gravity theory. In the scenario of gauge/gravity duality, a singular reference metric corresponds to momentum dissipations, which describes the electric and heat conductivity…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Hongsheng Zhang , Xin-Zhou Li

In this article the phenomenon of degravitation of the cosmological constant is studied in the framework of bigravity. It is demonstrated that despite a sizable value of the cosmological constant its gravitational effect can be only mild.…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Moritz Platscher , Juri Smirnov

We present a novel cosmological solution in the framework of extended quasidilaton theory which underwent scrutiny recently. We only consider terms that do not generate the Boulware-Deser degree of freedom, hence the "ghost-free"…

High Energy Physics - Theory · Physics 2017-09-06 A. Emir Gumrukcuoglu , Kazuya Koyama , Shinji Mukohyama

A theory of gravitation is constructed in which all homogeneous and isotropic solutions are nonsingular, and in which all curvature invariants are bounded. All solutions for which curvature invariants approach their limiting values approach…

General Relativity and Quantum Cosmology · Physics 2009-10-22 R. Brandenberger , V. Mukhanov , A. Sornborger

The discovery of the accelerated expansion of the universe highlighted General Relativity's inability to naturally account for dark energy without invoking a finely tuned cosmological constant. In response, a wide range of alternative…

General Relativity and Quantum Cosmology · Physics 2025-11-11 P. A. G. Monteiro , C. J. A. P. Martins

This paper is dedicated to scrutinizing the cosmology in massive gravity. A matter field of the dark sector is coupled to an effective composite metric while a standard matter field couples to the dynamical metric in the usual way. For this…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Lavinia Heisenberg , Alexandre Refregier