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The modified newtonian dynamics (MOND) paradigm of Milgrom can boast of a number of successful predictions regarding galactic dynamics; these are made without the assumption that dark matter plays a significant role. MOND requires…

Astrophysics · Physics 2014-10-13 Jacob D. Bekenstein

We use measurements from the Planck satellite mission and galaxy redshift surveys over the last decade to test three of the basic assumptions of the standard model of cosmology, $\Lambda$CDM: the spatial curvature of the universe, the…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-20 Shadab Alam , Shirley Ho , Alessandra Silvestri

We investigate the solar-system constraint on the f(R) theory of modified gravity with chameleon mechanism, where f(R) represents the deviation from general relativity in the gravity action. We obtain a stringent bound to a general,…

General Relativity and Quantum Cosmology · Physics 2011-08-09 Je-An Gu , Wei-Ting Lin

We study the Solar System constraints on covariant $f(Q)$ gravity. The covariant $f(Q)$ theory is described by the metric and affine connection, where both the torsion and curvature vanish. Considering a model including a higher…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Wenyi Wang , Kun Hu , Taishi Katsuragawa

The extended Jordan-Brans-Dicke (eJBD) theory of gravity is constrained by a host of astrophysical and cosmological observations spanning a wide range of scales. The current cosmological constraints on the first post-Newtonian parameter in…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-11 Mario Ballardini , Domenico Sapone , Caterina Umiltà , Fabio Finelli , Daniela Paoletti

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

After a succinct review of the MOND paradigm--with its phenomenology, and its various underlying theories--I concentrate on so called modified inertia (MI) formulations of MOND, which have so far received only little attention. These share…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-30 Mordehai Milgrom

We present a new test of modified Newtonian dynamics (MOND) on galactic scales, based on the escape speed in the solar neighbourhood. This test is independent from other empirical successes of MOND at reproducing the phenomenology of…

Astrophysics · Physics 2009-10-08 Benoit Famaey , Jean-Philippe Bruneton , HongSheng Zhao

Based on Newtonian dynamics, observations show that the luminous masses of astrophysical objects that are the size of a galaxy or larger are not enough to generate the measured motions which they supposedly determine. This is typically…

General Relativity and Quantum Cosmology · Physics 2016-04-22 Chung-Ming Ko

Models of "modified-inertia" formulation of MOND are described and applied to nonrelativistic many-body systems. They involve time-nonlocal equations of motion. Momentum, angular momentum, and energy are (nonlocally) defined, whose total…

Astrophysics of Galaxies · Physics 2022-10-03 Mordehai Milgrom

A new class of Kuiper belt objects that lie beyond Neptune with semimajor axes greater than 250 astronomical units show orbital anomalies that have been interpreted as evidence for an undiscovered ninth planet. We show that a modified…

General Relativity and Quantum Cosmology · Physics 2023-08-25 Katherine Jones-Smith , Harsh Mathur

We developed self-consistent dynamical models of stellar systems in the framework of quasi-linear modified Newtonian dynamics (QUMOND). The models are constructed from the anisotropic distribution function of Gunn & Griffin (1979), combined…

Astrophysics of Galaxies · Physics 2023-07-26 A. Sollima , C. Nipoti , F. Calura , R. Pascale , H. Baumgardt

We discuss solar system constraints on f(G) gravity models, where f is a function of the Gauss-Bonnet term G. We focus on cosmologically viable f(G) models that can be responsible for late-time cosmic acceleration. These models generally…

High Energy Physics - Theory · Physics 2010-03-26 Antonio De Felice , Shinji Tsujikawa

Some modified theories of gravity are known to predict monopolar, in addition to the usual quadrupolar and beyond, gravitational radiation in the form of `breathing' modes. For the same reason that octupole and higher-multipole terms often…

High Energy Astrophysical Phenomena · Physics 2018-11-14 Arthur G Suvorov

The Schwarzschild-de Sitter (SdS) solution exists in the large majority of modified gravity theories, as expected, and in particular the effective cosmological constant is determined by the specific parameters of the given theory. We…

General Relativity and Quantum Cosmology · Physics 2016-05-31 Lorenzo Iorio , Matteo Luca Ruggiero , Ninfa Radicella , Emmanuel N. Saridakis

We constrain $f(R)$ and chameleon-type modified gravity in the framework of the Berstchinger-Zukin parametrization using the recent released Planck data, including both CMB temperature power spectrum and lensing potential power spectrum.…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-16 Bin Hu , Michele Liguori , Nicola Bartolo , Sabino Matarrese

Different formulations of MOND predict somewhat different rotation curves for the same mass distribution. Here I consider a global attribute of the rotation curve that might provide a convenient discriminant between theories when applied to…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-27 Mordehai Milgrom

The strong equivalence principle is violated by gravity theories of Milgromian dynamics (MOND) through the action of the external field effect. We test two different Lagrangian theories AQUAL and QUMOND based on their numerical solutions of…

Astrophysics of Galaxies · Physics 2022-11-30 Kyu-Hyun Chae , Federico Lelli , Harry Desmond , Stacy S. McGaugh , James M. Schombert

We propose a new approach to test possible corrections to Newtonian gravity using solar physics. The high accuracy of current solar models and new precise observations allow one to constrain corrections to standard gravity at unprecedented…

Solar and Stellar Astrophysics · Physics 2011-12-30 Jordi Casanellas , Paolo Pani , Ilídio Lopes , Vitor Cardoso

We investigated the impact of three different modifications of Newtonian gravity on motions of Keplerian objects within the Solar System. These objects are located at distances of the order of the distance to the Oort cloud. With these…

Earth and Planetary Astrophysics · Physics 2015-05-19 Michael Sokaliwska , Hans-Joerg Fahr , Pavel Kroupa