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We quantify the differences between stellar accelerations in disk galaxies formed in a MONDian universe relative to galaxies with the identical baryonic matter distributions and a fitted cold dark matter halo. In a Milky Way-like galaxy the…

Astrophysics of Galaxies · Physics 2023-07-04 Maxwell Finan-Jenkin , Richard Easther

This work studies the cosmology of $\chi^{3/2}$-MOND gravity by Bernal et. al. (2011). This theory is a modification to Einstein's General Relativity (GR) that uses a dimensionless curvature scalar $\chi$ by rescaling the Ricci scalar $R$…

General Relativity and Quantum Cosmology · Physics 2023-07-31 Donniel Cruz , Emmanuel Rodulfo

We show that the Modified Newtonian Dynamics (MOND) regime can be fully recovered as the weak-field limit of a particular theory of gravity formulated in the metric approach. This is possible when Milgrom's acceleration constant is taken as…

General Relativity and Quantum Cosmology · Physics 2015-06-04 S. Mendoza , T. Bernal , J. C. Hidalgo , S. Capozziello

Modifications of general relativity provide an alternative explanation to dark energy for the observed acceleration of the universe. We review recent developments in modified gravity theories, focusing on higher dimensional approaches and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Bhuvnesh Jain , Justin Khoury

Moderhai Milgrom's Modified Newtonian Dynamics (MOND) correction to Newtonian gravity or inertia is shown to be equivalent to a more fundamental formulation considering a non-inertial local reference frame and the fixed background of the…

General Physics · Physics 2026-01-08 Manuel Uruena Palomo

We present exact kinematic consistency relations for cosmological structures that do not vanish at equal times and can thus be measured in surveys. These rely on cross-correlations between the density and velocity, or momentum, fields.…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-08 Luca Alberto Rizzo , David F. Mota , Patrick Valageas

The modified gravity with $\ln R$ or $R^{-n} (\ln R)^m$ terms which grow at small curvature is discussed. It is shown that such a model which has well-defined newtonian limit may eliminate the need for dark energy and may provide the…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

In the theories of generalized modified gravity, the acceleration equation is generally fourth order. So it is hard to analyze the evolution of the Universe. In this paper, we present a class of generalized modified gravity theories which…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Changjun Gao

The deflection angle $\Delta\phi$ of light rays by the gravitational field of a spherical system $M(r)$ is calculated using the MOdified Newtonian Dynamics (MOND). It is shown that $\Delta\phi$ with an impact parameter $r_0$ can be…

Astrophysics · Physics 2016-08-30 Q. Bo , X. P. Wu , Z. L. Zou

Modified Gravity (MOG) and Non-Local Gravity (NLG) are two alternative theories to General Relativity. They are able to explain the rotation curves of spiral galaxies and clusters of galaxies without including dark matter (Moffat & Rahvar…

Astrophysics of Galaxies · Physics 2017-11-09 M. H. Zhoolideh Haghighi , S. Rahvar

The redshift evolution of the Tully-Fisher Relation probes gravitational dynamics that must be consistent with any modified gravity theory seeking to explain the galactic rotation curves without the need for dark matter. Within the context…

Astrophysics · Physics 2008-09-18 Christopher Limbach , Dimitrios Psaltis , Feryal Ozel

In the context of theories of gravity modified to account for the observed dynamics of galactic systems without the need to invoke the existence of dark matter, a prediction often appears regarding low acceleration systems: wherever $a$…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 X. Hernandez , M. A. Jimenez

After reviewing the modified Newtonian dynamics (MOND) proposal, we advocate that the associated phenomenology may actually not result from a modification of Newtonian gravity, but from a mechanism of "gravitational polarization" of some…

Astrophysics · Physics 2008-07-09 Luc Blanchet , Alexandre Le Tiec

We show that the Modified Newtonian Dynamics (MOND) regime can be fully recovered as the weak-field limit of a particular theory of gravity formulated in the metric approach. This is possible when Milgrom's acceleration constant is taken as…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-16 T. Bernal , S. Capozziello , J. C. Hidalgo , S. Mendoza

The extremely small accelerations of objects required for the the onset of modified Newtonian dynamics, or MOND, makes testing the hypothesis in conventional terrestrial laboratories virtually impossible. This is due to the large background…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Saurya Das , S. N. Patitsas

The standard LambdaCDM model based on General Relativity (GR) including cold dark matter (CDM) is very successful at fitting cosmological observations, but recent non-detections of candidate dark matter (DM) particles mean that various…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-09 Charalambos Pittordis , Will Sutherland

The presence of dark matter, though well established by indirect evidence, is yet to be observed directly. Various dark matter detection experiments running for several years have yielded no positive results. In view of these negative…

General Relativity and Quantum Cosmology · Physics 2022-05-26 Louise Rebecca , Arun Kenath , C Sivaram

Modifications to Newtonian dynamics at low accelerations have long been proposed as an alternative to dark matter to explain galaxy rotation curves. More recently, similar corrections have been invoked to interpret anomalies in…

Astrophysics of Galaxies · Physics 2026-03-19 Riccardo Scarpa , Renato Falomo , Aldo Treves

The detailed nature of dark energy remains a mystery, leaving the possibility that its effects might be explained by changes to the laws of gravity on large scales. The peculiar velocities of galaxies directly trace the strength of gravity…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-29 Stuart Lyall , Chris Blake , Ryan J. Turner

This thesis aims at improving our understanding of the strong-field regime of gravity, where deviations from General Relativity (GR) are expected to be found on theoretical grounds. In particular, we have been concerned with the formulation…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Adrián Casado-Turrión
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