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Gravitational clustering is an intrinsically non-linear process that generates significant non-Gaussian signatures in the density field. We consider how these affect power spectrum determinations from galaxy and weak-lensing surveys.…

Astrophysics · Physics 2008-11-26 Roman Scoccimarro , Matias Zaldarriaga , Lam Hui

Without observational or theoretical modifications, Newtonian and general relativity seem to be unable to explain gravitational behavior of large structure of the universe. The assumption of dark matter solves this problem without modifying…

General Physics · Physics 2015-07-01 Stéphane Le Corre

The information contained in galactic rotation curves is examined under a minimal set of assumptions. If emission occurs from stable circular geodesic orbits of a static spherically symmetric field, with information propagated to us along…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kayll Lake

We find a new family of galactic metrics corresponding to flat rotation curves at the outer radii. These are vacuum solutions to a gravity theory where the Newton's coupling varies mildly in space. The effective `mass', whose origin is…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Rounak Chakraborty , Sandipan Sengupta

Two classes of stationary axisymmetric solutions of Einstein's equations for isolated differentially rotating matter sources are presented. The asymptotic regime is extracted, with attention to quasilocal gravitational energy, shear and…

General Relativity and Quantum Cosmology · Physics 2025-06-12 Marco Galoppo , David L. Wiltshire

The paper discusses back reaction effects in cosmology, (\'{a} la Buchert et. al.), induced by noncommutative geometry effects in fluid. We have used generalizations of an action formulation of noncommutative fluid model, proposed earlier…

High Energy Physics - Theory · Physics 2018-10-31 Praloy Das , Subir Ghosh

Employing the non-additive Tsallis entropy, $S\sim A^{\beta}$, for the large-scale gravitational systems, we disclose that in the cosmological scales both Friedmann equation and the equation of motion for the Newtonian cosmology get…

General Physics · Physics 2020-01-22 Ahmad Sheykhi

A large class of flat axially symmetric solutions to the Vlasov-Poisson system is constructed with the property that the corresponding rotation curves are approximately flat, slightly decreasing or slightly increasing. The rotation curves…

Astrophysics of Galaxies · Physics 2015-06-22 Håkan Andréasson , Gerhard Rein

We explore the mass distribution of material associated with galaxies from the observation of gravitational weak lensing for the galaxy mass correlation function with the aid of $N$-body simulations of dark matter. The latter is employed to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Shogo Masaki , Masataka Fukugita , Naoki Yoshida

It is shown that under essentially all conditions, the non-linear classical equations governing gravitation and matter in cosmology have a solution in which far outside the horizon in a suitable gauge the reduced spatial metric (the spatial…

High Energy Physics - Theory · Physics 2008-12-30 Steven Weinberg

We argue that combined observations of galaxy rotation curves and gravitational lensing not only allow the deduction of a galaxy's mass profile, but also yield information about the pressure in the galactic fluid. We quantify this statement…

Astrophysics · Physics 2008-11-26 Tristan Faber , Matt Visser

A solution for the problem of understanding observed rotation curves in galaxies without the introduction of dark matter halos is presented. This solution has been obtained upon considering the distribution of masses in the expanding…

General Relativity and Quantum Cosmology · Physics 2009-09-25 J. L. Rosales

There is apparently a widespread belief that the gravitational field (and subsequently the rotation curve) ``inside'' razor-thin, axially symmetric disks can not be determined accurately from elliptic integrals because of the singular…

Astrophysics · Physics 2009-11-10 A. Pierens , J. -M. Huré

We propose a simple geometrical mechanism for the flattening of galactic rotation curves, the local compression of field lines around their planes induced either by the presence of thin string-like objects at the centers of galaxies or by…

Astrophysics of Galaxies · Physics 2021-04-28 K. Zatrimaylov

We study the effect of nonfactorizable background geometry on the thermodynamics of the clustering of galaxies. A canonical partition function is derived for the gravitating system of galaxies treated as point particles contained in cells…

General Relativity and Quantum Cosmology · Physics 2022-09-05 Abdul W. Khanday , Sudhaker Upadhyay , Hilal A. Bagat , Prince A. Ganai

We present a survey of the application of Cones' Non-Commutative Geometry to gravitation. Bases of the theory and Euclidian gravity models are reviewed. Then we discuss the problem of a Lorentzian generalization of the theory and review…

Mathematical Physics · Physics 2009-04-29 N. Franco

Gravitational lensing by a spiral galaxy occurs when the line-of-sight to a background quasar passes within a few kpc from the center of the galactic disk. Since galactic disks are rich in neutral hydrogen, the quasar spectrum will likely…

Astrophysics · Physics 2016-08-30 Abraham Loeb

Through studying rotation curves, which depict how the velocity of the stars and gas changes with distance from the center of the galaxy, it has been confirmed that dark matter dominates galaxy's outer regions, as their rotation curve…

We present a method to investigate relativistic effects arising from large masses. The method is non-perturbative and employs a mean-field approximation and gravitational lensing. Using this method and a basic model of disk galaxy, we find…

Astrophysics of Galaxies · Physics 2021-03-17 Alexandre Deur

The Lorentzian spacetime metric is replaced by an area metric which naturally emerges as a generalized geometry in quantum string and gauge theory. Employing the area metric curvature scalar, the gravitational Einstein-Hilbert action is…

High Energy Physics - Theory · Physics 2008-11-26 Raffaele Punzi , Frederic P. Schuller , Mattias N. R. Wohlfarth