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We derive here, from first principles, the energy-momentum densities of a perfect fluid, in the form of an ideal molecular gas, in an inertial frame where the fluid possesses a bulk motion. We begin from the simple expressions for the…

General Physics · Physics 2020-10-12 Ashok K. Singal

In this article, we construct a broad family of spacetimes with spherically symmetric thin shells in unimodular gravity. We present the framework for the analysis of the dynamical stability of the configurations under perturbations…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Gabriel R. Bengochea , Ernesto F. Eiroa , Griselda Figueroa-Aguirre

Exact non-static spherically symmetric solutions of the Einstein equations for a null fluid source with pressure $P$ and density $\rho$ related by $P = k\rho^a$ are given. The $a=1$ metrics are asymptotically flat for $1/2<k\le 1$ and…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Viqar Husain

This manuscript aims to establish the gravitational junction conditions(JCs) for the $f(\mathcal{G},~T)$ gravity. In this gravitational theory, $f$ is an arbitrary function of Gauss-Bonnet invariant $\mathcal{G}$ and the trace of the…

General Relativity and Quantum Cosmology · Physics 2022-07-14 M. Z. Bhatti , Z. Yousaf , M. Yousaf

The qualitative properties of spatially homogeneous stiff perfect fluid and minimally coupled massless scalar field models within general relativity are discussed. Consequently, by exploiting the formal equivalence under conformal…

Astrophysics · Physics 2015-06-24 A. A. Coley

We summarize the general formalism describing surface flows in three-dimensional space in a form which is suitable for various astrophysical applications. We then apply the formalism to the analysis of non-radial perturbations of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , B. G. Schmidt

In this paper the author considers the motion of a relativistic perfect fluid with self-interaction mediated by Nordstrom's scalar theory of gravity. The evolution of the fluid is determined by a quasilinear hyperbolic system of PDEs, and a…

Mathematical Physics · Physics 2008-10-12 Jared Speck

We investigate the integrability conditions of a class of shear-free perfect-fluid cosmological models within the framework of anisotropic fluid sources, applying our results to f(R) dark energy models. Generalising earlier general…

General Relativity and Quantum Cosmology · Physics 2016-11-24 Amare Abebe , Peter K. S. Dunsby , Deon Solomons

We propose a classical mechanism for the cosmic expansion during the radiation-dominated era. This mechanism assumes that the Universe is a two-component gas. The first component is a gas of ultra-relativistic "normal" particles described…

High Energy Physics - Theory · Physics 2008-11-26 Emil M. Prodanov , Rossen I. Ivanov , V. G. Gueorguiev

We obtain the effective theory for the non-linear dynamics of black branes---both neutral and charged, in asymptotically flat or Anti-deSitter spacetimes---to leading order in the inverse-dimensional expansion. We find that black branes…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Keisuke Izumi , Raimon Luna , Ryotaku Suzuki , Kentaro Tanabe

In this work we explore the consequences that a non-minimal coupling between geometry and matter can have on the dynamics of perfect fluids. It is argued that the presence of a static, axially symmetric pressureless fluid does not imply a…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Orfeu Bertolami , António Martins

Recently we showed that in FLRW cosmology, the contribution from higher curvature terms in any generic metric gravity theory to the energy-momentum tensor is of the perfect fluid form. Such a geometric perfect fluid can be interpreted as a…

General Relativity and Quantum Cosmology · Physics 2024-08-07 Metin Gürses , Yaghoub Heydarzade , Çetin Şentürk

We reveal the existence of a new form of spontaneously scalarized black-hole configurations. In particular, it is proved that Reissner-Nordstr\"om black holes in the highly charged regime $Q/M>(Q/M)_{\text{crit}}=\sqrt{21}/5$ can support…

High Energy Physics - Theory · Physics 2022-02-23 Shahar Hod

A model of nonlinear electrodynamics with the Lagrangian density ${\cal L} = -(1/\beta)\arcsin(\beta F_{\mu\nu}F^{\mu\nu}/4)$ is proposed. The scale invariance and the dual invariance of electromagnetic fields are broken in the model. In…

General Relativity and Quantum Cosmology · Physics 2016-08-05 S. I. Kruglov

We present an energy functional for a Thomas-Fermi type two-fluid model of a self-gravitating non-rotating charged body, with a non-relativistic kinetic energy. We prove that, under certain conditions on the total number of positively…

Mathematical Physics · Physics 2022-04-08 Parker Hund

We investigate the circular motion of charged test particles in the gravitational field of a charged mass described by the Reissner-Nordstr\"om (RN) spacetime. We study in detail all the spatial regions where circular motion is allowed…

General Relativity and Quantum Cosmology · Physics 2015-03-19 D. Pugliese , H. Quevedo , R. Ruffini

A perturbing shell is introduced as a device for studying the excitation of fluid motions in relativistic stellar models. We show that this approach allows a reasonably clean separation of radiation from the shell and from fluid motions in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Zeferino Andrade , Richard H. Price

A plane-symmetric inhomogeneous cosmological model of perfect fluid distribution with electro-magnetic field is obtained. The source of the magnetic field is due to an electric current produced along the z-axis. $F_{12}$ is the…

General Relativity and Quantum Cosmology · Physics 2010-09-27 Anirudh Pradhan , P. K. Singh , A. K. Yadav

The problem of two stiff fluids (energy density = pressure) moving radially in spherical symmetry is treated. The metric ansatz is chosen spherically symmetric, conformally static with a multiplicative separation of variables. The first…

General Relativity and Quantum Cosmology · Physics 2008-11-05 Valentin Kostov

The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these…

Mathematical Physics · Physics 2015-05-14 T. Dereli , R. W. Tucker
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