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A ghost-free theory of gravity with two dynamical metrics both coupled to matter is shown to be consistent and viable. Its cosmological implications are studied, and the models, in particular in the context of partially massless gravity,…

High Energy Physics - Theory · Physics 2013-10-25 Yashar Akrami , Tomi S. Koivisto , David F. Mota , Marit Sandstad

The ghost free massive gravity modified Friedmann equations at cosmic scale and provided an explanation of cosmic acceleration without dark energy. We analyzed the cosmological solutions of the massive gravity in detail and confronted the…

General Relativity and Quantum Cosmology · Physics 2021-11-30 Yungui Gong

For variable gravity models the strength of gravity, as measured by Newton's ``constant'' or the Planck mass, depends on the value of a scalar field, the cosmon. We discuss two simple four-parameter models with a quadratic or constant…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-15 C. Wetterich

I review the basic ``gravitational instability'' model for the growth of structure in the expanding Universe. This model requires the existence of small initial irregularities in the density of a largely uniform universe. These grow through…

Astrophysics · Physics 2007-05-23 Peter Coles

The dynamical consequences of a bimetric scalar-tensor theory of gravity with a dynamical light speed are investigated in a cosmological setting. The model consists of a minimally-coupled self-gravitating scalar field coupled to ordinary…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. A. Clayton , J. W. Moffat

We study cosmological applications of extended vector-tensor theories, whose Lagrangians contain up to two derivatives with respect to metric and vector field. We derive background equations under the assumption of homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2018-07-20 Ryotaro Kase , Rampei Kimura , Atsushi Naruko , Daisuke Yoshida

We study cosmological perturbations of self-accelerating universe solutions in the recently proposed nonlinear theory of massive gravity, with general matter content. While the broken diffeomorphism invariance implies that there generically…

High Energy Physics - Theory · Physics 2012-03-07 A. Emir Gumrukcuoglu , Chunshan Lin , Shinji Mukohyama

In this paper we study the generation of primordial perturbations in a cosmological setting of bigravity during inflation. We consider a model of bigravity which can reproduce the $\Lambda$CDM background and large scale structure and a…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-02 Giulia Cusin , Ruth Durrer , Pietro Guarato , Mariele Motta

We study the stability of the isotropic vacuum Friedmann universe in gravity theories with higher-order curvature terms of the form $(R_{ab}R^{ab})^{n}$ added to the Einstein-Hilbert Lagrangian of general relativity on approach to an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan Middleton , John D. Barrow

The early Cosmology driven by a single scalar field, both massless and massive, in the context of Eddington-inspired Born-Infeld gravity, is explored. We show the existence of nonsingular solutions of bouncing and loitering type (depending…

General Relativity and Quantum Cosmology · Physics 2021-11-15 David Benisty , Gonzalo J. Olmo , Diego Rubiera-Garcia

We consider a class of modified gravity models where the terms added to the standard Einstein-Hilbert Lagrangian are just a function of the metric only. For linearized perturbations around an isotropic space-time, this class of models is…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-30 Richard A. Battye , Jonathan A. Pearson

"Brane Induced Gravity" is regarded as a promising framework for addressing the cosmological constant problem, but it also suffers from a ghost instability for parameter values that make it phenomenologically viable. We carry out a detailed…

High Energy Physics - Theory · Physics 2011-05-27 S. F. Hassan , Stefan Hofmann , Mikael von Strauss

We argue that all homogeneous and isotropic solutions in nonlinear massive gravity are unstable. For this purpose, we study the propagating modes on a Bianchi type--I manifold. We analyze their kinetic terms and dispersion relations as the…

High Energy Physics - Theory · Physics 2012-10-26 Antonio De Felice , A. Emir Gumrukcuoglu , Shinji Mukohyama

Generically, non-linear bimetric theories of gravity suffer from the same Boulware-Deser ghost instability as non-linear theories of massive gravity. However, recently proposed theories of massive gravity have been shown to be ghost-free.…

High Energy Physics - Theory · Physics 2015-05-30 S. F. Hassan , Rachel A. Rosen

We study some cases in D=4 and in infinite-volume high dimensional theories when unbroken supersymmetry in the vacuum cannot guarantee Fermi-Bose degeneracy among excited states. In 4D we consider an example in which both supersymmetry and…

High Energy Physics - Theory · Physics 2007-05-23 G. Dvali

Unlike general relativity, in bimetric gravity linear gravitational waves do not evolve as free fields. In this theory there are two types of tensor perturbations, whose interactions are inherited from non-trivial couplings between two…

General Relativity and Quantum Cosmology · Physics 2024-03-11 David Brizuela , Marco de Cesare , Araceli Soler Oficial

The vacuum catastrophe is a fundamental puzzle, where the observed scales of the cosmological constant are many orders of magnitude smaller than the natural scales expected in the theory. This work proposes a new "bi-world" construction…

High Energy Physics - Theory · Physics 2022-09-15 Alireza Parhizkar , Victor Galitski

The possibility of flat metric solutions in the presence of arbitrary, in particular, Planck mass sized cosmological constants is investigated within multigravity theory, the ghost-free theory of $(N+1)$ rank-2 tensor fields comprising one…

High Energy Physics - Theory · Physics 2021-11-01 E. T. Tomboulis

In this paper, in the framework of massive bigravity, we study all possible cosmic evolutions by using a method in which the modified Friedmann equation is written in a form where the scale factor evolves like the motion of a particle under…

General Relativity and Quantum Cosmology · Physics 2019-05-16 M. Mousavi , F. Darabi

We study the cosmology of bimetric theory with a composite matter coupling. We find two possible branches of background evolution. We investigate the question of stability of cosmological perturbations. For the tensor and vector…

High Energy Physics - Theory · Physics 2015-06-23 A. Emir Gumrukcuoglu , Lavinia Heisenberg , Shinji Mukohyama , Norihiro Tanahashi