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We prove the nonlinear stability of homogeneous barotropic perfect fluid solutions in fixed cosmological spacetimes undergoing decelerated expansion. The results hold provided a specific inequality between the speed of sound of the fluid…

General Relativity and Quantum Cosmology · Physics 2025-01-23 David Fajman , Maximilian Ofner , Todd Oliynyk , Zoe Wyatt

A wormhole solution in Newtonian gravitation, enhanced through an equation relating the Ricci scalar to the mass density, is presented. The wormhole inhabits a spherically symmetric curved space, with one throat and two asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2016-03-24 José P. S. Lemos , Paulo Luz

The integration procedure for multidimensional cosmological models with multicomponent perfect fluid in spaces of constant curvature is developed. Reduction of pseudo-Euclidean Toda-like systems to the Euclidean ones is done. Some known…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. R. Gavrilov , V. D. Ivashchuk , V. N. Melnikov

We propose a cosmological model that describes isotropic expansion of inhomogeneous universe. The energy-momentum tensor that creates the spatial inhomogeneity may not affect the uniform expansion scaling factor $a(t)$ in the FLRW-like…

High Energy Physics - Theory · Physics 2014-10-15 Wei-Jian Geng , H. Lu

Viscous fingering and wormhole growth are complex nonlinear unstable phenomena. We view both as the result of competition for water in which the capacity of an instability to grow depends on its ability to carry water. We derive empirical…

Fluid Dynamics · Physics 2020-02-26 Yoar Cabeza , Juan J. Hidalgo , Jesus Carrera

We briefly discuss some of the known and new properties of rotating geometries that are relevant to this work. We generalize the analytical method of superposition of fields, known for generating nonrotating solutions, and apply it to…

General Relativity and Quantum Cosmology · Physics 2016-01-07 Mustapha Azreg-Aïnou

We investigate the necessary conditions for the two spacetimes, which are solutions to the Einstein field equations with an anisotropic matter source, to be related to each other by means of a conformal transformation. As a result, we…

General Relativity and Quantum Cosmology · Physics 2021-06-18 Jarosław Kopiński

We review the evolution of a spatially homogeneous and isotropic universe described by a Friedmann-Robertson-Walker spacetime filled with a collisionless, neutral, simple, massive gas. The gas is described by a one-particle distribution…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Francisco Astorga , Olivier Sarbach , Thomas Zannias

If a traversable wormhole smoothly connects two different spacetimes, then the flux cannot be separately conserved in any of these spaces individually. Then objects propagating in a vicinity of a wormhole in one space must feel influence of…

General Relativity and Quantum Cosmology · Physics 2020-04-07 De-Chang Dai , Dejan Stojkovic

We present here analytical solutions of General Relativity that describe evolving wormholes with a non-constant redshift function. We show that the matter that threads these wormholes is not necessarily exotic. Finally, we investigate some…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Luis A. Anchordoqui , Diego F. Torres , Marta L. Trobo , Santiago E. Perez Bergliaffa

In this paper we develop two models for the steady states and evolution of two dimensional isothermal self gravitating and rotating incompressible gas which are based on the hydrodynamic equations for stratified fluid. The first model is…

Earth and Planetary Astrophysics · Physics 2015-04-14 Mayer Humi , Zilu Tian

We consider $f(R, T)$ theory of gravity, in which the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar and the trace of the energy-momentum tensor, to study static spherically symmetric wormhole geometries…

General Relativity and Quantum Cosmology · Physics 2021-08-03 Ayan Banerjee , M. K. Jasim , Sushant G. Ghosh

In this paper, we study the linear stability properties of perturbations around the homogeneous Couette flow for a 2D isentropic compressible fluid in the domain $\mathbb{T}\times \mathbb{R}$. In the inviscid case there is a generic…

Analysis of PDEs · Mathematics 2021-08-24 Paolo Antonelli , Michele Dolce , Pierangelo Marcati

In this paper, we investigate the existence and time evolution of the cosmological and event horizons in a McVittie universe whose expansion is driven by the Redlich-Kwong, (Modified) Berthelot, Dieterici, and Peng-Robinson fluids,…

General Relativity and Quantum Cosmology · Physics 2020-03-03 Daniele Gregoris , Yen Chin Ong , Bin Wang

This study explores asymptotically flat wormhole solutions in $f(Q,T)=\alpha Q+ \beta T$ gravity, expanding upon our prior work (arXiv:2602.00527v1) with matter Lagrangian density, $L_m=-P$ . Here, we examine the implications of employing…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Sodabe Nasirimoghadam , Foad Parsaei , Sara Rastgoo

We present Newtonian and fully general-relativistic solutions for the evolution of a spherical region of uniform interior density \rho_i(t), embedded in a background of uniform exterior density \rho_e(t). In both regions, the fluid is…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Roshina Nandra , Anthony Lasenby , Michael Hobson

We study the dynamics of spatially homogeneous and isotropic spacetimes containing a fluid undergoing microscopic velocity diffusion in a cosmological scalar field. After deriving a few exact solutions of the equations, we continue by…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Artur Alho , Simone Calogero , Maria P. Machado Ramos , Ana J. Soares

Some Bianchi type I viscous fluid cosmological models with a variable cosmological constant are investigated in which the expansion is considered only in two direction i.e. one of the Hubble parameter $(H_{1} = \frac{A_{4}}{A})$ is zero.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Anirudh Pradhan , Purnima Pandey

Space-time wormholes were introduced in Wheeler's idea of space-time foam. Traversible wormholes as defined by Morris & Thorne became popular as potential short cuts across the universe and even time machines. More recently, the author…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean A. Hayward

We study static, spherically symmetric mixed configurations with a nontrivial (wormhole) spacetime topology provided by the presence of two interacting ghost scalar fields. Wormhole is assumed to be filled by a perfect relativistic neutron…

General Relativity and Quantum Cosmology · Physics 2015-09-08 Vladimir Dzhunushaliev , Vladimir Folomeev , Ajnur Urazalina
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