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We study the parametrized post-Newtonian (PPN) limit of higher-derivative-torsion Modified Teleparallel Gravity. We start from the covariant formulation of modified Teleparallel Gravity by restoring the spin connection of the theory. Then,…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Manuel Gonzalez-Espinoza , Giovanni Otalora , Lucila Kraiselburd , Susana Landau

One key piece of evidence for dark matter is the rotation-curve problem: the disagreement between measured galactic rotation curves and their luminous mass. A novel solution to this problem is presented here, in a model that predicts…

Astrophysics of Galaxies · Physics 2026-03-02 Sophia N. Cisneros , Rich Ott , Meagan Crowley , Amy Roberts , Marcus Paz

By turning to a differential formulation, the post-Newtonian description of metric gravitational theories (PPN formalism) has been extended to include cosmological boundary conditions. The dimensionless expansion parameter is the ratio…

General Relativity and Quantum Cosmology · Physics 2009-10-28 G. Dautcourt

Recently, it has been suggested that the phenomenology of flat rotation curves observed at large radii in the equatorial plane of disk galaxies can be explained as a manifestation of General Relativity instead of the effect of Dark Matter…

Astrophysics of Galaxies · Physics 2022-09-21 Luca Ciotti

Next-generation gravitational-wave detectors are expected to constrain the properties of extreme density matter via observations of static and dynamical tides in binary neutron star inspirals. The required modelling is straightforward in…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Shanshan Yin , Nils Andersson , Fabian Gittins

In this paper we study consistent solutions of spherically symmetric space in metric f(R) gravity theory. Here we inversely obtain a generic action from metric solutions that describe flat rotation curves in spiral galaxies without dark…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Solmaz Asgari , Reza Saffari

Einstein's theory of general relativity (GR) has been precisely tested on solar system scales, but extragalactic tests are still poorly performed. In this work, we use a newly compiled sample of galaxy-scale strong gravitational lenses to…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-02 Jun-Jie Wei , Yun Chen , Shuo Cao , Xue-Feng Wu

This paper investigates the coplanar and circular three-body problem in the parametrized post-Newtonian (PPN) formalism, for which we focus on a class of fully conservative theories characterized by the Eddington-Robertson parameters…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Yuya Nakamura , Hideki Asada

Modified theories of gravity that offer viable models for dark energy often rely on mechanisms that screen their effects in high density environments. From this perspective, it would appear that, once solar system constraints are satisfied,…

General Relativity and Quantum Cosmology · Physics 2020-07-24 Bernardo F. de Aguiar , Raissa F. P. Mendes

We study the structure of neutron stars in f(R) gravity theories with perturbative constraints. We derive the modified Tolman-Oppenheimer-Volkov equations and solve them for a polytropic equation of state. We investigate the resulting…

High Energy Astrophysical Phenomena · Physics 2014-11-20 Alan Cooney , Simon DeDeo , Dimitrios Psaltis

The observed flat rotation curves of galaxies require either the presence of dark matter in Newtonian gravitational potentials or a significant modification to the theory of gravity at galactic scales. Detecting relativistic Doppler shifts…

Astrophysics of Galaxies · Physics 2012-02-15 Alan Cooney , Dimitrios Psaltis , Dennis Zaritsky

In this letter, we show that any solution of general relativity (GR) that can be rendered spatially flat by a coordinate change is also a solution of the self-accelerating branch of the minimal theory of massive gravity (MTMG), with or…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Antonio De Felice , François Larrouturou , Shinji Mukohyama , Michele Oliosi

We performed a post-Newtonian analysis of the regularized four-dimensional Einstein-Gauss-Bonnet gravitational theory (4D-EGB). The resulting metric differs from the classical parametrized post-Newtonian (PPN) formalism in that a new…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Júnior D. Toniato , Martín G. Richarte

A mysterious dark matter is supposed to exist in the galactic halos. In this contrast, we discuss the possibility of explaining the flat rotational velocity curves in f(R) gravity by solving field equations numerically in vacuum and for…

General Physics · Physics 2021-03-30 Muhammad Usman

We introduce a method to obtain self-consistent, axially symmetric, thin disklike stellar models in the first post-Newtonian (1PN) approximation. The models obtained are fully analytical and corresponds to the post-Newtonian generalizations…

General Relativity and Quantum Cosmology · Physics 2009-10-12 Camilo Akimushkin , Javier Ramos-Caro , Guillermo A. González

This note includes results of a study of stationary spherically symmetric ``dark holes'', objects merging central black holes and peripheral scalar graviton dark haloes arising in the framework of the modified gravity -- the quartet-metric,…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Yu. F. Pirogov , O. V. Zenin

We study geometries of galactic rotation curves from Dark Matter (DM) and Modified Newtonian Dynamics (MOND) models in $(g_{\rm bar},g_{\rm tot})$-space ($g2$-space) where $g_{\rm tot}$ is the total centripetal acceleration of matter in the…

Astrophysics of Galaxies · Physics 2018-05-29 Mads T. Frandsen , Jonas Petersen

Relativistic models of light propagation adopted for high-precision astrometry are based on the parametrised post-Newtonian formalism, which provides a framework for examining the effects of a hypothetical violation of general relativity on…

Instrumentation and Methods for Astrophysics · Physics 2022-07-20 A. G. Butkevich , A. Vecchiato , B. Bucciarelli , M. Gai , M. Crosta , M. G. Lattanzi

We consider stability properties of spherically symmetric spacetimes of stars in metric f(R) gravity. We stress that these not only depend on the particular model, but also on the specific physical configuration. Typically configurations…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Kimmo Kainulainen , Daniel Sunhede

The Parameterized Post-Newtonian (PPN) formalism offers an agnostic framework for evaluating theories of gravity that extend beyond General Relativity. Departures from General Relativity are represented by a set of dimensionless parameters…

Astrophysics of Galaxies · Physics 2025-02-19 Victor de Mora Losada , Riccardo Della Monica , Ivan de Martino , Mariafelicia De Laurentis