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We develop the general scheme for modified $f(R)$ gravity reconstruction from any realistic FRW cosmology. We formulate several versions of modified gravity compatible with Solar System tests where the following sequence of cosmological…

High Energy Physics - Theory · Physics 2008-11-26 Shin'ichi Nojiri , Sergei D. Odintsov

Based on certain assumptions for the expectation value of a product of the quantum fluctuating metric at two points, the gravitational and scalar field Lagrangians are evaluated. Assuming a vanishing expectation value of the first order…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Vladimir Dzhunushaliev , Vladimir Folomeev , Burkhard Kleihaus , Jutta Kunz

We propose an approximation to full relativity that captures the main gravitational effects of dynamical importance in supernovae. The conceptual link between this formalism and the Newtonian limit is such that it could likely be…

Astrophysics · Physics 2007-05-23 Christian Y. Cardall , Anthony Mezzacappa

The question of what gravitational theory could supersede General Relativity has been central in theoretical physics for decades. Many disparate alternatives have been proposed motivated by cosmology, quantum gravity and phenomenological…

General Relativity and Quantum Cosmology · Physics 2017-11-13 Juan Cayuso , Néstor Ortiz , Luis Lehner

In this paper, we analyze the clustering of galaxies using a modified theory of gravity, in which the field content of general relativity has been be increased. This increasing in the field content of general relativity changes the large…

General Relativity and Quantum Cosmology · Physics 2019-11-06 Mir Hameeda , Behnam Pourhassan , Mir Faizal , C. P. Masroor , Rizwan Ul Haq Ansari , P. K. Suresh

General properties of the three-body problem in a model of modified dynamics are investigated. It is shown that the three-body problem in this model shares some characters with the similar problem in Newtonian dynamics. Moreover, the planar…

Astrophysics of Galaxies · Physics 2023-04-14 Hossein Shenavar

Theories of gravity in the beyond Horndeski class recover the predictions of general relativity in the solar system whilst admitting novel cosmologies, including late-time de Sitter solutions in the absence of a cosmological constant.…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Jeremy Sakstein , Michael Kenna-Allison , Kazuya Koyama

We show that Solar System tests can place very strong constraints on K-mouflage models of gravity, which are coupled scalar field models with nontrivial kinetic terms that screen the fifth force in regions of large gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2015-07-28 Alexandre Barreira , Philippe Brax , Sebastien Clesse , Baojiu Li , Patrick Valageas

This work systematically investigates the post-Newtonian behavior of general quadratic gravity in the weak-field regime. By extending the Einstein-Hilbert action to include quadratic curvature terms as $\mathcal{L}\propto R-\lambda C^2+\mu…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Jie Zhu , Hao Li

Theories of modified gravity where light scalars with non-trivial self-interactions and non-minimal couplings to matter-chameleon and symmetron theories-dynamically suppress deviations from general relativity in the solar system. On other…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-20 Clare Burrage , Jeremy Sakstein

The classical tests of general relativity - light deflection, time delay and perihelion shift - are applied, along with the geodetic precession test, to the five-dimensional extension of the theory known as Kaluza-Klein gravity, using an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hongya Liu , James Overduin

The starting point of this work is the original Einstein action, sometimes called the Gamma squared action. Continuing from our previous results, we study various modified theories of gravity following the Palatini approach. The metric and…

General Relativity and Quantum Cosmology · Physics 2023-09-29 Christian G. Boehmer , Erik Jensko

We explore the new physics phenomena of gravidynamics governed by the inhomogeneous spin gauge symmetry based on the gravitational quantum field theory. Such a gravidynamics enables us to derive the generalized Einstein equation and an…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Yuan-Kun Gao , Da Huang , Yong-Liang Ma , Yong Tang , Yue-Liang Wu , Yu-Feng Zhou

A modified Newton's gravity is obtained as the weak field approximation of the Einstein's equation in Finsler space. It is found that a specified Finsler structure makes the modified Newton's gravity equivalent to the modified Newtonian…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zhe Chang , Xin Li

We investigate the prospects for constraining alternative theories of gravity with a typical near-term low-budget 21 cm intensity mapping experiment. We derive the 21 cm brightness temperature perturbation consistently in linear theory…

Cosmology and Nongalactic Astrophysics · Physics 2013-04-26 Alex Hall , Camille Bonvin , Anthony Challinor

The Modified Newtonian Dynamics (MOND) generically predicts a violation of the strong version of the equivalence principle. As a result the gravitational dynamics of a system depends on the external gravitational field in which the system…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-01 Luc Blanchet , Jerome Novak

Using a perturbative approach we solve stellar structure equations for low-density (solar-type) stars whose interior is described with a polytropic equation of state in scenarios involving a subset of modified gravity theories. Rather than…

Solar and Stellar Astrophysics · Physics 2019-02-27 M. Cermeño , J. Carro , A. L. Maroto , M. Ángeles Pérez-García

Hierarchical three-body systems offer a compelling framework to explore the subtle interplay between Newtonian and relativistic gravitational effects in astrophysical environments. In this work, we investigate post-Newtonian corrections to…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Pietro Farina , Mariafelicia De Laurentis , Hideki Asada , Ivan De Martino , Riccardo Della Monica

We introduce The Novel Probes Project, an initiative to advance the field of astrophysical tests of the dark sector by creating a forum that connects observers and theorists. This review focuses on tests of gravity and is intended to be of…

The gravitational dipole theory of Hadjukovic (2010) is based on the hypothesis that antimatter has a negative gravitational mass and thus falls upwards on Earth. Astrophysically, the model is similar to but more fundamental than Modified…

Earth and Planetary Astrophysics · Physics 2020-06-12 Indranil Banik , Pavel Kroupa
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