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We show that, as a result of non-linear self-interactions, it is feasible, at least in light of the bounds coming from terrestrial tests of gravity, measurements of the Casimir force and those constraints imposed by the physics of compact…

High Energy Physics - Phenomenology · Physics 2008-11-26 David F. Mota , Douglas J. Shaw

The covariant gauge invariant perturbation theory of scalar cosmological perturbations is developed for a general Scalar-Tensor Friedmann-Lemaitre-Robertson-Walker cosmology in a vacuum. The perturbation equations are then solved exactly in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sante Carloni , Peter K. S. Dunsby , Claudio Rubano

We develop a full four-dimensional numerical code to study scalar gravitational radiation emitted from binary systems and probe the Vainshtein mechanism in situations that break the static and spherical symmetry, relevant for binary pulsars…

High Energy Physics - Theory · Physics 2019-01-09 Furqan Dar , Claudia de Rham , J. Tate Deskins , John T. Giblin , Andrew J. Tolley

Integrable models of 1+1 dimensional gravity coupled to scalar and vector fields are briefly reviewed. A new class of integrable models with nonminimal coupling to scalar fields is constructed and discussed.

High Energy Physics - Theory · Physics 2011-04-15 A. T. Filippov , V. G. Ivanov

The best motivated alternatives to general relativity are scalar-tensor theories, in which the gravitational interaction is mediated by one or several scalar fields together with the usual graviton. The analysis of their various…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilles Esposito-Farese

A gravitational field model based on two symmetric tensors, $g_{\mu \nu}$ and $\tilde{g}_{\mu \nu}$, is presented. In this model, new matter fields are added to the original matter fields, motivated by an additional symmetry…

General Relativity and Quantum Cosmology · Physics 2017-11-06 Jorge Alfaro , Pablo González

Although quasi-dilaton massive gravity is a well-defined gravitational theory, it exhibits instabilities and suffers from the strong coupling problem. In this work we construct an extension of the theory, through the inclusion of the aether…

General Relativity and Quantum Cosmology · Physics 2022-11-07 Sobhan Kazempour , Amin Rezaei Akbarieh , Emmanuel N Saridakis

That preferred-frame theory accounts for special relativity and reduces to it if the gravitation field cancels. Starting from an interpretation of gravity as a pressure force, it is based on just one scalar field. This scalar gives the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Mayeul Arminjon

The affine connection in a space-time with a maximally symmetric spatial subspace is derived using the properties of maximally symmetric tensors. The number of degrees of freedom in metric-affine gravity is thereby considerably reduced…

General Relativity and Quantum Cosmology · Physics 2009-03-20 Tuomas Multamäki , Jaakko Vainio , Iiro Vilja

A scale invariant theory of gravity, containing at most two derivatives, requires, in addition to the Riemannian metric, a scalar field and (or) a gauge field. The gauge field is usualy used to construct the affine connection of Weyl…

High Energy Physics - Theory · Physics 2024-02-08 N. Mohammedi

We analyse the classical and quantum theory of a scalar field interacting with gravitation in two dimensions. We describe a class of analytic solutions to the Wheeler-DeWitt equation from which we are able to synthesise states that give…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M Onder , R W Tucker

We explore a background-independent theory of composite gravity. The vacuum expectation value of the composite metric satisfies Einstein's equations (with corrections) as a consistency condition, and selects the vacuum spacetime. A…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Austin J. Batz , Joshua Erlich , Luke Mrini

We present a scale-invariant theory, conformal gravity, which closely resembles the geometrodynamical formulation of general relativity (GR). While previous attempts to create scale-invariant theories of gravity have been based on Weyl's…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Edward Anderson , Julian Barbour , Brendan Foster , Niall O'Murchadha

In this work we explore the dynamics of the generalized hybrid metric-Palatini theory of gravity in the weak-field, slow-motion regime. We start by introducing the equivalent scalar-tensor representation of the theory, which contains two…

General Relativity and Quantum Cosmology · Physics 2021-12-14 João Luís Rosa , Francisco S. N. Lobo , Gonzalo J. Olmo

The explicit violation of the general covariance on the whole and its minimal violation to the unimodular covariance specifically is considered. The proper extension of General Relativity is shown to describe consistently the massive scalar…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yu. F. Pirogov

We derive the full perturbative equations of motion for the most general background solutions in ghost-free bimetric theory in its metric formulation. Clever field redefinitions at the level of fluctuations enable us to circumvent the…

High Energy Physics - Theory · Physics 2016-05-20 Laura Bernard , Cedric Deffayet , Angnis Schmidt-May , Mikael von Strauss

The cosmology of metric-affine gravity is studied for the general, parity preserving action quadratic in curvature, torsion and non-metricity. The model contains 27 a priori independent couplings in addition to the Einstein constant. Linear…

General Relativity and Quantum Cosmology · Physics 2024-12-23 Thomas Dyer , Will Barker , Damianos Iosifidis

We present a geometric scalar theory of gravity. Our proposal will be described using the "background field method" introduced by Gupta, Feynman and others as a field theory formulation of general relativity. We analyze previous criticisms…

General Relativity and Quantum Cosmology · Physics 2015-06-12 M. Novello , E. Bittencourt , U. Moschella , E. Goulart , J. M. Salim , J. Toniato

In order to study 3d loop quantum gravity coupled to matter, we consider a simplified model of abelian quantum gravity, the so-called U(1)^3 model. Abelian gravity coupled to a scalar field shares a lot of commonalities with parameterized…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Christoph Charles

We consider modified theories of gravity with a direct coupling between matter and geometry, denoted by an arbitrary function in terms of the Ricci scalar. Due to such a coupling, the matter stress tensor is no longer conserved and there is…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Yousef Bisabr