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We study the origin of dark matter based on the ghost-free bigravity theory with twin matter fluids. The present cosmic acceleration can be explained by the existence of graviton mass, while dark matter is required in several cosmological…

General Relativity and Quantum Cosmology · Physics 2015-01-07 Katsuki Aoki , Kei-ichi Maeda

Conformal gravity has been proposed as an alternative theory of gravity which can account for flat galactic rotation curves without recourse to copious quantities of dark matter. However it was shown that for the usual choice of the metric,…

Astrophysics · Physics 2008-12-30 A. Edery , A. A. Méthot , M. B. Paranjape

In this paper we study the most general covariant action of gravity up to terms that are quadratic in curvature. In particular this includes non-local, infinite derivative theories of gravity which are ghost-free and exhibit asymptotic…

High Energy Physics - Theory · Physics 2015-06-16 Tirthabir Biswas , Aindriú Conroy , Alexey S. Koshelev , Anupam Mazumdar

In the first order formalism of gravitational theories, the spacetime connection is considered as an independent variable to vary together with the metric. However, the metric still generates its Levi-Civita connection that turns out to…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Tomi S. Koivisto , Nicola Tamanini

In this letter we point out that the massive gravity theory with a graviton ghost mode in de Sitter background cannot possess a de Sitter invariant vacuum state. In order to avoid a negative norm state, we must associate the creation…

General Relativity and Quantum Cosmology · Physics 2009-03-20 Keisuke Izumi , Takahiro Tanaka

We present a model of the gravitational field based on two symmetric tensors. Gravity is affected by the new field, but outside matter the predictions of the model coincide exactly with general relativity, so all classical tests are…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Jorge Alfaro , Pablo González

We review a class of higher derivative theories of gravity consistent at quantum level. This class is marked by a non-polynomal entire function (form factor), which averts extra degrees of freedom (including ghosts) and improves the high…

High Energy Physics - Theory · Physics 2013-02-27 Leonardo Modesto

In the theory of General Relativity, gravity is described by a metric which couples minimally to the fields representing matter. We consider here its "veiled" versions where the metric is conformally related to the original one and hence is…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Nathalie Deruelle , Misao Sasaki

We present a metric theory of gravity with Lagrangian L = (8\pi G)^{-1}(\Xi g^{ii} - \Upsilon g^{00})\sqrt{-g} + L_{GR} + L_{matter} motivated by classical equations \partial_t \rho + \partial_i (\rho v^i) = 0 \partial_t (\rho v^j) +…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. Schmelzer

We present the complete form of the decoupling limit of ghost-free massive gravity with a Minkowski reference metric, including the full interactions of the helicity-1 and helicity-0 modes of the massive spin-2 field. While in the metric…

High Energy Physics - Theory · Physics 2015-06-16 Nicholas A. Ondo , Andrew J. Tolley

We perform the Hamiltonian analysis of some form of the non-linear massive gravity action that is formulated in the Stuckelberg formalism. Following seminal analysis performed in arXiv:1203.5283 [hep-th] we find that this theory possesses…

High Energy Physics - Theory · Physics 2015-06-03 J. Kluson

We set up a vacuum theory of gravity with an extra dimension of vanishing proper length. The most general solution to the field equations are presented. This formulation is free of Kaluza-Klein modes and does not allow the propagation of…

General Relativity and Quantum Cosmology · Physics 2020-05-26 Sandipan Sengupta

A massive gravity theory was proposed by Visser in the late nineties. This theory, based on a backgroung metric $b_{\alpha \beta}$ and on an usual dynamical metric $g_{\alpha \beta}$ has the advantage of being free of ghosts as well as…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Alain de Roany , Bertrand Chauvineau , J. A. de Freitas Pacheco

Recently, several works have investigated the coupling to matter in ghost-free massive (bi-&multi-)gravity and a new effective coupling to matter has been proposed. In this note we clarify some confusion on the existence and the…

High Energy Physics - Theory · Physics 2014-12-24 Claudia de Rham , Lavinia Heisenberg , Raquel H. Ribeiro

General Relativity enjoys the freedom of different geometrical interpretations in terms of curvature, torsion or non-metricity. Within this geometrical trinity, a simpler geometrical formulation of General Relativity manifests itself in the…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Fabio D'Ambrosio , Mudit Garg , Lavinia Heisenberg

We consider thermal strongly-coupled N=2 SYM theory with fundamental matter at finite isospin chemical potential. Using gauge/gravity duality, i.e. a probe of two flavor D7-branes embedded in the AdS black hole background, we find a…

High Energy Physics - Theory · Physics 2009-10-16 Martin Ammon , Johanna Erdmenger , Matthias Kaminski , Patrick Kerner

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 suggest a class of generally covariant ghost-free nonlocal gravity models generating de Sitter or Anti-de Sitter background with an arbitrary value of the effective cosmological constant and featuring a mechanism of dark matter…

High Energy Physics - Theory · Physics 2015-05-28 A. O. Barvinsky

We continue our investigation of massive gravity in the massless limit of vanishing graviton mass. From gauge invariance we derive the most general coupling between scalar matter and gravity. We get further couplings beside the standard…

General Relativity and Quantum Cosmology · Physics 2011-04-22 D. R. Grigore , G. Scharf

Several approaches to quantum gravity (including the model of superplastic vacuum; Diakonov tetrads emerging as the bilinear combinations of the fermionis fields; $BF$-theories of gravity; and effective acoustic metric) suggest that in…

General Relativity and Quantum Cosmology · Physics 2023-01-18 G. E. Volovik