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The dynamic status of scalar fields is studied in the Hamiltonian approach to the General Relativity. We show that the conformal coupling of the scalar field violates the standard geometrical structure of the Einstein equations in GR and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. A. Glinka , V. N. Pervushin , R. P. Kostecki

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 show that, in four-dimensional spacetimes with an arbitrary Einstein metric, with and without a cosmological constant, perturbative dynamical degrees of freedom in generic quadratic-curvature gravity can be decoupled into massless and…

General Relativity and Quantum Cosmology · Physics 2019-07-01 Yuki Niiyama , Yuya Nakamura , Ryosuke Zaimokuya , Yu Furuya , Yuuiti Sendouda

We reconsider the Rovelli-Smolin model of gravity coupled to the Klein-Gordon time field with an eye towards capturing the degrees of freedom of the scalar field lost in the framework in which time is deparametrized by the scalar field.…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Jerzy Lewandowski , Hanno Sahlmann

We consider the covariant galileon gravity taking into account the third order and fourth order scalar field Lagrangians L_3(\pi) and L_4(\pi) consisting of three and four $\pi$'s with four and five derivatives acting on them respectively.…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Radouane Gannouji , M. Sami

The St\"uckelberg analysis of nonlinear massive gravity in the presence of a general fiducial metric is investigated. We develop a "covariant" formalism for the St\"uckelberg expansion by working with a local inertial frame, through which…

General Relativity and Quantum Cosmology · Physics 2015-01-26 Xian Gao , Tsutomu Kobayashi , Masahide Yamaguchi , Daisuke Yoshida

We consider a model where a light scalar field (with mass $\lesssim 30\, {\rm eV}$), conjectured to be dark matter, has a non-minimal coupling to gravity. In the non-relativistic limit, this new coupling introduces a self-interaction term…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-24 Lingyuan Ji

The coupling of intrinsic spin with the nonlinear gravitomagnetic fields of Goedel-type spacetimes is studied. We work with Goedel-type universes in order to show that the main features of spin-gravity coupling are independent of causality…

General Relativity and Quantum Cosmology · Physics 2023-08-07 Bahram Mashhoon , Masoud Molaei , Yuri N. Obukhov

In the framework of teleparallel gravity, the Friedman-Robertson-Walker cosmological model with scalar tensor theory where scalar field is non-minimally coupled to both the torsion scalar and boundary term is studied. Utilizing the Noether…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Ganim Gecim , Yusuf Kucukakca

We introduce a large class of scalar-tensor theories where gravity becomes stronger at large distances via the exchange of a scalar that mixes with the graviton. At small distances, i.e. large curvature, the scalar is screened via an analog…

High Energy Physics - Theory · Physics 2010-02-17 E. Babichev , C. Deffayet , R. Ziour

We generalize previous work by considering a novel gravitational model with an action given by an arbitrary function of the Ricci scalar, the matter Lagrangian density, a scalar field and a kinetic term constructed from the gradients of the…

General Relativity and Quantum Cosmology · Physics 2013-02-06 Tiberiu Harko , Francisco S. N. Lobo , Olivier Minazzoli

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

Cosmology in extended theories of gravity is considered assuming the Palatini variational principle, for which the metric and connection are independent variables. The field equations are derived to linear order in perturbations about the…

Astrophysics · Physics 2015-06-24 Tomi Koivisto , Hannu Kurki-Suonio

We describe a novel procedure to map the field equations of nonlinear Ricci-based metric-affine theories of gravity, coupled to scalar matter described by a given Lagrangian, into the field equations of General Relativity coupled to a…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Victor I. Afonso , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

Relations between the graviton mass and the cosmological constant $\Lambda$ have led to some interesting implications. We show that in any approach which leads to a direct correlation between the graviton mass and $\Lambda$, either through…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Oem Trivedi , Abraham Loeb

Scalar fields coupled to gravity via $\xi R {\Phi}^2$ in arbitrary Friedmann-Robertson-Walker backgrounds can be represented by an effective flat space field theory. We derive an expression for the scalar energy density where the effective…

General Relativity and Quantum Cosmology · Physics 2009-10-28 David Hochberg , Thomas W. Kephart

The Galileon model is a modified gravity theory that may provide an explanation for the accelerated expansion of the Universe. This model does not suffer from instabilities or ghost problems (normally associated with higher-order derivative…

General Relativity and Quantum Cosmology · Physics 2013-07-02 J. Neveu , V. Ruhlmann-Kleider , A. Conley , N. Palanque-Delabrouille , P. Astier , J. Guy , E. Babichev

In this paper we examine the cosmological consequences of fourth order Galileon gravity. We carry out detailed investigations of the underlying dynamics and demonstrate the stability of one de Sitter phase. The stable de Sitter phase…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-23 Amna Ali , Radouane Gannouji , M. Sami

Theories of massive gravity inevitably include an auxiliary reference metric. Generically, they also contain an inconsistency known as the Boulware-Deser ghost. Recently, a family of non-linear massive gravity actions, formulated with a…

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

In a previous work the authors have solved the Einstein equations of General Relativity for a class of metrics with constant spatial curvature, where it was found a non vanishing Weyl tensor in the presence of a primordial magnetic field…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Grasiele B. Santos , Eduardo Bittencourt , José M. Salim