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Dark energy models with a single scalar field cannot cross the equation of state divide set by a cosmological constant. More general models that allow crossing require additional degrees of freedom to ensure gravitational stability. We show…

Astrophysics · Physics 2008-12-01 Wenjuan Fang , Wayne Hu , Antony Lewis

We study the parameterized post-Newtonian approximation in teleparallel model of gravity with a scalar field. The scalar field is non-minimally coupled to the scalar torsion as well as to the boundary term introduced in [1]. We show that,…

General Relativity and Quantum Cosmology · Physics 2017-04-06 H. Mohseni Sadjadi

Using the latest most accurate values of post-Newtonian parameters $\gamma$ and $\beta$ obtained by MESSENGER we impose restrictions on the recently proposed hybrid f(R)-gravity model in its scalar-tensor representation. We show that the…

General Relativity and Quantum Cosmology · Physics 2019-10-08 P. I. Dyadina , S. P. Labazova , S. O. Alexeyev

In this article we analyze the post-Newtonian approximation of a generalization of the symmetric teleparallel gravity with the help of the parameterized post-Newtonian (PPN) formalism. This class of theories is based on a free function of…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Kai Flathmann , Manuel Hohmann

We implement the method developed in [1] to construct the most general parametrised action for linear cosmological perturbations of bimetric theories of gravity. Specifically, we consider perturbations around a homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2017-01-27 Macarena Lagos , Pedro G. Ferreira

In recent years, the use of conformal transformation techniques has become widespread in the literature on gravitational theories alternative to general relativity, on cosmology, and on nonminimally coupled scalar fields. Typically, the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Valerio Faraoni , Edgard Gunzig , Pasquale Nardone

We consider the post-Newtonian limit of a general class of bimetric theories of gravity, in which both metrics are dynamical. The established parameterised post-Newtonian approach is followed as closely as possible, although new potentials…

General Relativity and Quantum Cosmology · Physics 2010-12-07 Timothy Clifton , Máximo Bañados , Constantinos Skordis

Recently we have presented a new formulation of the theory of gravity based on an implementation of the Einstein Equivalence Principle distinct from General Relativity. The kinetic part of the theory - that describes how matter is affected…

General Relativity and Quantum Cosmology · Physics 2010-10-27 M. Novello

Testing General Relativity (GR) is a key science goal of much of modern physics, and usually results in constraints that are either theory or context specific. We present an holistic framework that we dub `Parametrized Post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Daniel B Thomas , Theodore Anton , Timothy Clifton

Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology and astrophysics. Among numerous alternatives to Einstein's theory of gravity, theories which include…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Thomas P. Sotiriou , Valerio Faraoni

We present a formalism to compute Lagrangian displacement fields for a wide range of cosmologies in the context of perturbation theory up to third order. We emphasize the case of theories with scale dependent gravitational strengths, such…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-16 Alejandro Aviles , Jorge L. Cervantes-Cota

We present a nonlinear post-Friedmann framework for structure formation, generalizing to cosmology the weak-field (post-Minkowskian) approximation, unifying the treatment of small and large scales. We consider a universe filled with a…

General Relativity and Quantum Cosmology · Physics 2015-08-06 Irene Milillo , Daniele Bertacca , Marco Bruni , Andrea Maselli

In this paper, we present the cosmological perturbation formalism for theories within the framework of affine gravity. These theories are distinguished by their connection, devoid of any metric. Our approach involves segregating…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Oscar Castillo-Felisola , Radouane Gannouji , Manuel Morocho-López , Marcelo Rozas-Rojas

We study the renormalizable quantum gravity formulated as a perturbed theory from conformal field theory (CFT) on the basis of conformal gravity in four dimensions. The conformal mode in the metric field is managed non-perturbatively…

High Energy Physics - Theory · Physics 2009-11-10 Ken-ji Hamada

We consider f(R) modified gravity theories in the metric variation formalism and attempt to reconstruct the function f(R) by demanding a background LCDM cosmology. In particular we impose the following requirements: a. A background cosmic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Fay , S. Nesseris , L. Perivolaropoulos

Starting from the original Einstein action, sometimes called the Gamma squared action, we propose a new setup to formulate modified theories of gravity. This can yield a theory with second order field equations similar to those found in…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Christian G. Boehmer , Erik Jensko

Recently, a new kind of $f(z)$ theory is proposed to provide a different perspective for the development of reliable alternative models of gravity in which the $f(R)$ Lagrangian terms are reformulated as polynomial parameterizations $f(z)$.…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-15 Ji-Yao Wang , Chao-Jun Feng , Xiang-Hua Zhai , Xin-Zhou Li

Fundamental physics today is best defined operationally: it is the program of identifying the microscopic degrees of freedom, symmetries, and dynamical laws that (i) reproduce the Standard Model (SM) of particle physics, General Relativity…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Slava G. Turyshev

Screened modified gravity (SMG) is a kind of scalar-tensor theories with screening mechanisms, which can generate screening effect to suppress the fifth force in high density environments and pass the solar system tests. Meanwhile, the…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Xing Zhang , Wen Zhao , He Huang , Yifu Cai

We present a class of modified-gravity theories which we call ultra-local models. We add a scalar field, with negligible kinetic terms, to the Einstein-Hilbert action. We also introduce a conformal coupling to matter. This gives rise to a…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-17 Philippe Brax , Luca Alberto Rizzo , Patrick Valageas