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The inclusion of a flat metric tensor in gravitation permits the formulation of a gravitational stress-energy tensor and the formal derivation of general relativity from a linear theory in flat spacetime. Building on the works of Kraichnan…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Brian Pitts , W. C. Schieve

In this work we investigate the existence of relativistic models for dark matter in the context of bimetric gravity, used here to reproduce the modified Newtonian dynamics (MOND) at galactic scales. For this purpose we consider two…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Luc Blanchet , Lavinia Heisenberg

We present a theory of ghost-free massive gravity where the mass of the graviton is generated through the Brout-Englert-Higgs (BEH) mechanism and one of the four scalar fields used is that of mimetic gravity. The mass term is not of the…

High Energy Physics - Theory · Physics 2018-06-26 Ali H. Chamseddine , Viatcheslav Mukhanov

We show that the strong self-interaction of the scalar polarization of a massive graviton can be understood in terms of the propagation of an extra ghost-like degree of freedom, thus relating strong coupling to the sixth degree of freedom…

General Relativity and Quantum Cosmology · Physics 2009-10-07 Cedric Deffayet , Jan-Willem Rombouts

We investigate matter couplings in massive bigravity. We find a new family of such consistent couplings, including and extending known consistent matter couplings, and we investigate their decoupling limits, ADM decompositions, Higuchi…

High Energy Physics - Theory · Physics 2016-02-17 Scott Melville , Johannes Noller

We explore a cosmological model in which dark matter is non-minimally coupled to gravity at the fluid level. While typically subdominant compared to Standard Model forces, such couplings may dominate dark matter dynamics. We show that this…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Samuele Silveravalle , Andrea Lapi , Francesco Benetti , Stefano Liberati

Recently, the construction of ghost-free nonlinear massive spin-2 interactions solved a long outstanding problem in classical field theory. The consistent formulation requires a second rank-two tensor (or metric) and therefore has the form…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Angnis Schmidt-May

We explore the idea that the coupling between matter and spacetime is more complex than the one originally envisioned by Einstein. We propose that such coupling takes the form of a new fundamental tensor in the Einstein field equations. We…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Sante Carloni

A covariant formulation of a theory with a massive graviton and no negative energy state has been recently proposed as an alternative to the usual General Relativity framework. For a spatially flat homogenous and isotropic universe, the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Vincenzo F. Cardone , Ninfa Radicella , Luca Parisi

We develop the principle of nongravitating vacuum energy, which is implemented by changing the measure of integration from $\sqrt{-g}d^{D}x$ to an integration in an internal space of $D$ scalar fields $\phi_{a}$. As a consequence of such a…

General Relativity and Quantum Cosmology · Physics 2011-09-09 E. I. Guendelman , A. B. Kaganovich

We discuss the ghost freeness in the case when we add matter coupled to two metrics to the ghost-free bigravity. In this paper we show that the Boulware-Deser ghost generally revives in the presence of doubly coupled matter and that ghost…

High Energy Physics - Theory · Physics 2015-06-22 Yasuho Yamashita , Antonio De Felice , Takahiro Tanaka

We consider a mimetic set up in which the mimetic scalar is coupled to a vector field. It is shown that such a field with a time-like component does not contribute to the background equations and yet produces healthy isocurvature…

General Relativity and Quantum Cosmology · Physics 2018-06-20 M. H. Abbassi , A. Jozani , H. R. Sepangi

We consider the branch of the projectable Horava-Lifshitz model which exhibits ghost instabilities in the low energy limit. It turns out that, due to the Lorentz violating structure of the model and to the presence of a finite strong…

High Energy Physics - Theory · Physics 2016-06-29 S. Ramazanov , F. Arroja , M. Celoria , S. Matarrese , L. Pilo

We analyse the late time cosmology and the gravitational properties of doubly coupled bigravity in the constrained vielbein formalism (equivalent to the metric formalism) when the mass of the massive graviton is of the order of the present…

General Relativity and Quantum Cosmology · Physics 2017-04-21 Philippe Brax , Anne-Christine Davis , Johannes Noller

In this paper we study multi-gravity (multi-metric and multi-vielbein) theories in the presence of cycles of interactions (cycles in the so-called `theory graph'). It has been conjectured that in multi-metric theories such cycles lead to…

High Energy Physics - Theory · Physics 2015-01-07 James H. C. Scargill , Johannes Noller , Pedro G. Ferreira

We study the phenomenology associated to non-minimally coupled dark matter. In particular, we consider the model where the non-minimal coupling arises from the formation of relativistic Bose-Einstein condensates in high density regions of…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Dimitar Ivanov , Stefano Liberati

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

It is shown that a disformally coupled theory in which the gravitational sector has the Einstein-Hilbert form is equivalent to a quartic DBI Galileon Lagrangian, possessing non-linear higher derivative interactions, and hence allowing for…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-02 Miguel Zumalacarregui , Tomi S. Koivisto , David F. Mota

We propose a simple method for deriving the constraints of the de Rham-Gabadadze-Tolley model in the metric and the Lagrangian formulation, as possible as keeping the Lorentz covariance. In our formulation, it is not necessary to use the…

High Energy Physics - Theory · Physics 2019-05-29 Satoshi Akagi , Taisaku Mori

General N=(1,1) dilaton supergravity in two dimensions allows a background independent exact quantization of the geometric part, if these theories are formulated as specific graded Poisson-sigma models. In this work the extension of earlier…

High Energy Physics - Theory · Physics 2007-05-23 L. Bergamin