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I consider an extension of General Relativity by an auxiliary non-dynamical dimension that enables our space-time to acquire an extrinsic curvature. Obtained gravitational equations, without or with a cosmological constant, have a…

High Energy Physics - Theory · Physics 2014-11-20 Gregory Gabadadze

This work places the invariant $ds^2$ at the center of the gravitational interaction, interpreting it not as a purely geometric object but as the differential of proper time, endowed with direct physical meaning. Starting from the extension…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Jaume de Haro

In second-order scalar-tensor theories we study how the Vainshtein mechanism works in a spherically symmetric background with a matter source. In the presence of the field coupling $F(\phi)=e^{-2Q\phi}$ with the Ricci scalar $R$ we…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

Three theoretical criteria for gravitational theories beyond general relativity are considered: obtaining the cosmological constant as an integration constant, deriving the energy conservation law as a consequence of the field equations,…

General Relativity and Quantum Cosmology · Physics 2023-08-17 Junpei Harada

We study background dynamics and the growth of matter perturbations in the extended quasidilaton setup of massive gravity. For the analysis of perturbations, we first choose a scalar field matter component and obtain the conditions under…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Ekapob Kulchoakrungsun , Ananya Mukherjee , Nishant Agarwal , Anthony R. Pullen

An alternative approach to Einstein's theory of General Relativity (GR) is reviewed, which is motivated by a range of serious theoretical issues inflicting the theory, such as the cosmological constant problem, presence of non-Machian…

General Physics · Physics 2016-07-13 Ram Gopal Vishwakarma

We present a non-linear analysis of perturbations around cosmological solutions in Generalised Massive gravity. This Lorentz invariant theory is an extension of de Rham, Gabadadze, Tolley massive gravity that propagates $5$ degrees of…

High Energy Physics - Theory · Physics 2021-09-22 A. Emir Gumrukcuoglu , Rampei Kimura , Michael Kenna-Allison , Kazuya Koyama

We propose an extension of General Relativity (GR) based on a space-time foliation by three-dimensional space-like hypersurfaces labeled by the Khronon scalar field $\tau$. We show that this theory (i) leads to modified Newtonian dynamics…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Luc Blanchet , Constantinos Skordis

One of the few firm predictions of string theory is the existence of a massless scalar field coupled to gravity, the dilaton. In its presence, the value of the fundamental constants of the universe, such as the fine-structure constant, will…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-03 Léo Vacher , Nils Schöneberg , J. D. F. Dias , C. J. A. P. Martins , Francisco Pimenta

We study Galileon theories that emerge in ghost-free massive gravity. In particular, we focus on a sub-class of these theories where the Galileons can be completely decoupled from the tensor Lagrangian. These Galileons differ from generic…

High Energy Physics - Theory · Physics 2013-12-16 Lasha Berezhiani , Giga Chkareuli , Gregory Gabadadze

Diffeomorphism invariance is often considered to be a hallmark of the theory of general relativity (GR). But closer analysis reveals that this cannot be what makes GR distinctive. The concept of diffeomorphism invariance can be defined in…

General Physics · Physics 2024-07-25 Max Heitmann

The Hamiltonian structure of General Relativity (GR), for both metric and tetrad gravity in a definite continuous family of space-times, is fully exploited in order to show that: i) the "Hole Argument" can be bypassed by means of a specific…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Luca Lusanna , Massimo Pauri

General Relativity is the modern theory of gravitation. It has replaced the newtonian theory in the description of the gravitational phenomena. In spite of the remarkable success of the General Relativity Theory, the newtonian gravitational…

General Relativity and Quantum Cosmology · Physics 2015-01-09 J. C. Fabris , H. Velten

The self-consistent matter coupling is found in a broad class of minimally modified gravity theories which was discovered recently. All constraints in the theories remain first class and thus a graviton has only 2 local degrees of freedom.…

General Relativity and Quantum Cosmology · Physics 2019-05-24 Chunshan Lin

Scalar-tensor gravity is the simplest and best understood modification of general relativity, consisting of a real scalar field coupled directly to the Ricci scalar curvature. Models of this type have self-accelerating solutions. In an…

Astrophysics · Physics 2009-09-17 Gabriela Barenboim , Joseph Lykken

We introduce an $N=1$ supergravity model based on the gauged shift symmetry of a single chiral multiplet, which can be identified with the string dilaton or a compactification modulus. The model allows for a tunably small and positive value…

High Energy Physics - Phenomenology · Physics 2016-09-01 Rob Knoops

We investigate the late-time cosmological behaviour of scalar-tensor theories with a universal multiplicative coupling between the scalar field and the matter Lagrangian in the matter era. This class of theory encompasses the case of the…

General Relativity and Quantum Cosmology · Physics 2014-07-24 Olivier Minazzoli , Aurélien Hees

We construct the most general, to cubic order in curvature, theory of gravity whose (most general) static spherically symmetric vacuum solutions are fully described by a single field equation. The theory possess the following remarkable…

High Energy Physics - Theory · Physics 2017-06-07 Robie A. Hennigar , David Kubiznak , Robert B. Mann

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

Every theory that modifies gravity at cosmological distances and that is not already ruled out by the Solar system observations must exhibit some nonlinear mechanism that turns off the modification close to a compact matter source. Given…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-20 Karel Van Acoleyen