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The dynamical equations describing the evolution of a self-gravitating fluid can be rewritten in the form of a Schrodinger equation coupled to a Poisson equation determining the gravitational potential. This wave-mechanical representation…

Astrophysics · Physics 2009-11-07 Peter Coles , Kate Spencer

In order to address the difficulties of classical fluid kinematics in describing vorticity and the paradox of linear correlation between viscous force and vorticity in the Navier-Stokes equations, the study examines the inherent…

Classical Physics · Physics 2024-08-08 Peng Shi

When pressure is not negligible in comparison with energy density, the external gravitational field and the motion of particles in it are modified. For spherically symmetric body two effective mass parameters determine the external…

General Relativity and Quantum Cosmology · Physics 2010-11-29 A. I. Nikishov

This paper makes a rigorous case for considering the homogenized continuum derived by the Irving-Kirkwood procedure as a polar medium in which the balances of angular momentum and energy contain contributions due to body couples and couple…

Classical Physics · Physics 2021-06-10 Kranthi K. Mandadapu , B. Emek Abali , Panayiotis Papadopoulos

Are solids intrinsically different from liquids? Must a finite stress be applied in order to induce flow? Or, instead, do all solids only look rigid on some finite timescales and eventually flow if an infinitesimal shear stress is applied?…

Statistical Mechanics · Physics 2010-06-29 F. Sausset , G. Biroli , J. Kurchan

An alternative, scalar theory of gravitation has been proposed, based on a mechanism/interpretation of gravity as being a pressure force: Archimedes' thrust. In it, the gravitational field affects the physical standards of space and time,…

General Physics · Physics 2016-12-26 Mayeul Arminjon

Gravitational form factors are often interpreted as providing access to stresses inside hadrons, in particular through Fourier transforms of the form factors $D$ and $\bar{c}$. Some researchers, however, have expressed skepticism of this…

High Energy Physics - Phenomenology · Physics 2025-03-03 Adam Freese

Irrotational relativistic vortex configurations in uniform subsonic motion with respect to a surrounding perfect fluid are analysed for the purpose of application to superfluid layers in neutron stars. Asymptotic solutions are found by…

Astrophysics · Physics 2009-10-30 Brandon Carter , David Langlois , Denis Priou

The problem of surface effects at a fluid/force field boundary is investigated. A classical simple fluid with a locally introduced field simulating a solid is considered. For the case of a hard-core field, rigid, exponential, realistic, and…

Statistical Mechanics · Physics 2011-12-08 V. M. Zaskulnikov

In this paper we investigate the stress concentration problem that occurs when two convex rigid particles are closely immersed in a fluid flow. The governing equations for the fluid flow are the stationary incompressible Navier-Stokes…

Analysis of PDEs · Mathematics 2024-11-26 Haigang Li , Peihao Zhang

A kinetic theory of relativistic gases in a two-dimensional space is developed in order to obtain the equilibrium distribution function and the expressions for the fields of energy per particle, pressure, entropy per particle and heat…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. M. Kremer , F. P. Devecchi

The Misner and Sharp approach to the study of gravitational collapse is extended to the dissipative case in, both, the streaming out and the diffusion approximations. The role of different terms in the dynamical equation are analyzed in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Herrera , N. O. Santos

To express the capillary stress in the diffuse interface method, there are two different formulations in the literature: one formulation is proportional to the density and the other is to the density gradient. Confusingly, these two…

Soft Condensed Matter · Physics 2025-06-26 Takeshi Omori

A new approach is described to help improve the foundations of relativistic viscous fluid dynamics and its coupling to general relativity. Focusing on neutral conformal fluids constructed solely in terms of hydrodynamic variables, we derive…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Fabio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

We explore a ballistic orbit model to infer the gravitational drag force on an accreting point mass M, such as a black hole, moving at a hypersonic velocity v_{0} through a gaseous environment of density \rho_{0}. The streamlines blend in…

Astrophysics of Galaxies · Physics 2015-05-30 J. Canto , A. C. Raga , A. Esquivel , F. J. Sanchez-Salcedo

We present a complete analytical solution for the stress field inside a homogeneous, inside a homogeneous, linearly elastic solid sphere subjected to a concentrated normal load applied on its surface. Starting from the three-dimensional…

Classical Physics · Physics 2026-05-06 Yosuke Mori , Kiwamu Yoshii , Satoshi Takada

We introduce new tetrads that manifestly and covariantly diagonalize the stress-energy tensor for a perfect fluid with vorticity at every spacetime point. This new tetrad can be applied and introduce simplification in the analysis of…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Alcides Garat

It is argued that static electric or magnetic fields induce Weyl-Majumdar-Papapetrou solutions for the metric of spacetime. Their gravitational acceleration includes a term many orders of magnitude stronger than usual perturbative terms. It…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. V. Ivanov

This paper presents some novel contributions to the theory of inviscid flow regarding the forces exerted on a body moving through such a fluid in two dimensions. It is argued that acceleration of the body corresponds to vorticity generation…

Fluid Dynamics · Physics 2020-06-02 A. C. DeVoria , K. Mohseni

Based on a tentative interpretation of gravity as a pressure force, a scalar theory of gravity was previously investigated. It assumes gravitational contraction (dilation) of space (time) standards. In the static case, the same Newton law…

General Physics · Physics 2007-09-05 Mayeul Arminjon
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