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In the Newtonian limit of general relativity force acting on a test mass in a central gravitational field is conventionally defined by the attractive Newtonian gravity (inverse square) term plus a small repulsive cosmological force, which…

General Relativity and Quantum Cosmology · Physics 2020-05-25 Igor I. Smolyaninov

We apply the principle of energy conservation to the motion of the test particle in gravitational field by requiring that its energy, gained by gravitation, has to be balanced by decrease of its rest mass. Due to the change of mass in…

Astrophysics · Physics 2007-05-23 V. Majernik

We explore observational constraints on possible deviations from Newtonian gravity by means of large-scale clustering of galaxies. We measure the power spectrum and the bispectrum of Sloan Digital Sky Survey galaxies and compare the result…

Astrophysics · Physics 2008-12-18 Akihito Shirata , Yasushi Suto , Chiaki Hikage , Tetsuya Shiromizu , Naoki Yoshida

The nonsymmetric gravitational theory predicts an acceleration law that modifies the Newtonian law of attraction between particles. For weak fields a fit to the flat rotation curves of galaxies is obtained in terms of the mass…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Moffat

In view of the negative results from various dark matter detection experiments, we had earlier proposed an alternate theoretical framework through Modification of Newtonian Gravity (MONG). Here, the Poison's equation is modified by…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-01 Louise Rebecca , Dominic Sebastian , C Sivaram , Kenath Arun

Power-law cosmologies, in which the cosmological scale factor evolves as a power law in the age, $a \propto t^{\alpha}$ with $\alpha \ga 1$, regardless of the matter content or cosmological epoch, is comfortably concordant with a host of…

Astrophysics · Physics 2009-11-13 Zong-Hong Zhu , Ming Hu , J. S. Alcaniz , Yu-Xing Liu

We consider different observational effects to test modified gravity approach involving the cosmological constant in the common description of the dark matter and the dark energy. We obtain upper limits for the cosmological constant by…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-19 A. Amekhyan , S. Sargsyan , A. Stepanian

Stretching of the Newtonian potential (NP) at early epochs is investigated and it is shown that observed effects, usually ascribed to a dark matter, can by explained by such stretching only. Increasing by time radius of the…

General Physics · Physics 2014-09-23 Zahid Zakir

We consider the possibility that masses and gravitational potentials of galaxy cluster, estimated at X-ray wavelengths, could be explained without assuming huge amounts of dark matter, but in the context of $f(R)$-gravity. Specifically, we…

Astrophysics · Physics 2011-02-15 S. Capozziello , E. De Filippis , V. Salzano

We study gravitational clustering of mass points in three dimensions with random initial positions and periodic boundary conditions (no expansion) by numerical simulations. Correlation properties are well defined in the system and a sort of…

Statistical Mechanics · Physics 2009-11-07 M. Bottaccio , A. Amici , P. Miocchi , R. Capuzzo Dolcetta , M. Montuori , L. Pietronero

Changes in the law of gravity have far-reaching implications for the formation and evolution of galaxy clusters, and appear as peculiar signatures in their mass-observable relations, structural properties, internal dynamics, and abundance.…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-27 Matteo Cataneo , David Rapetti

Several recent studies have shown how to properly calculate the observed clustering of galaxies in a relativistic context, and uncovered corrections to the Newtonian calculation that become significant on scales near the horizon. Here, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Donghui Jeong , Fabian Schmidt , Christopher M. Hirata

The potential is a constant to linear order in cosmological gravitational clustering. In this Letter we present results of testing the conjecture, proposed by Pauls and Melott (1995), that the effect of nonlinear evolution on the potential…

Astrophysics · Physics 2009-10-28 Adrian L. Melott , B. S. Sathyaprakash , Varun Sahni

Influence of surrounding matter on the properties of clusters is considered by an approach combining the methods of statistical and quantum mechanics. A cluster is treated as a bound N-particle system and surrounding matter as thermostat.…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , E. P. Yukalova

Modified gravity theories have richer observational consequences for large-scale structure than conventional dark energy models, in that different observables are not described by a single growth factor even in the linear regime. We examine…

Astrophysics · Physics 2009-02-20 Bhuvnesh Jain , Pengjie Zhang

Gravitational merging (or clustering) of cosmic objects is regarded as a possible source of the extra-acceleration of the universe at large scale. The merging/clustering of cosmic objects introduces a correction term in the equation of…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-29 Mehrdad Khanpour , Ebrahim Yusofi , Bahman Khanpour

In spite of the growing observational evidence for dark matter and dark energy in the universe, their physical nature is largely unknown. In fact, several authors have proposed modifications of Newton's law of gravity at cosmological scales…

Astrophysics · Physics 2009-11-10 Akihito Shirata , Tetsuya Shiromizu , Naoki Yoshida , Yasushi Suto

The effect of capture of a cosmic object by the central gravitational field of a galaxy cluster is described in the expanding Universe. The cosmic evolution can be the origin of the capture explaining formation of galaxies and their…

Astrophysics · Physics 2007-06-07 Piotr Flin , Victor Pervushin , Andrey Zorin

A well-known cluster expansion, which leads to virial expansion for the free energy of low density systems, is modified in such a way that it becomes applicable to the description of condensed state of matter. To this end, the averaging of…

Statistical Mechanics · Physics 2018-12-21 G. S. Bokun , M. F. Holovko

We use the Newtonian limit of a general scalar-tensor theory around a background field to study astrophysical effects. The gravitational theory modifies the standard Newtonian potential by adding a Yukawa term to it, which is quantified by…

Astrophysics · Physics 2011-06-09 J. L. Cervantes-Cota , M. A. Rodriguez-Meza , R. Gabbasov , J. Klapp