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We study shear-free spherically symmetric relativistic gravitating fluids with heat flow and electric charge. The solution to the Einstein-Maxwell system is governed by the generalised pressure isotropy condition which contains a…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Y. Nyonyi , S. D. Maharaj , K. S. Govinder

Static spherically symmetric solutions of the Einstein's field equations in isotropic coordinates representing perfect fluid matter distributions from Newtonian potential-density pairs are investigated. The approach is illustrated with…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Gonzalo García-Reyes

We obtain a two-parameter set of solutions, which represents a spherically symmetric space-time with a superposition of a neutral fluid and an electric field. The electromagnetic four-potential of this Einstein-Maxwell space-time is taken…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Mauricio Cataldo , Patricio Salgado

This paper explores the quantum-fluid correspondence in a charged relativistic fluid with intrinsic spin. We begin by examining the nonrelativistic case, showing that the inclusion of spin introduces a quantum correction to the classical…

General Relativity and Quantum Cosmology · Physics 2024-12-31 Naoki Sato

The structure of the Einstein field equations describing the gravitational collapse of spherically symmetric isotropic fluids is analyzed here for general equations of state. A suitable system of coordinates is constructed which allows us,…

General Relativity and Quantum Cosmology · Physics 2015-03-24 Roberto Giambò , Giulio Magli

We consider multidimensional cosmologies in even-dimensional space-times (D=2n) containg perfect fluid and a multidimensional generalization of the Maxwell field, preserving its conformal invariance (the F field, an n-form). Among models…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kirill A. Bronnikov

The propagation of gravitational waves or tensor perturbations in a perturbed Friedmann-Robertson-Walker universe filled with a perfect fluid is re-examined. It is shown that while the shear and magnetic part of the Weyl tensor satisfy…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Peter Dunsby , Bruce Bassett , George Ellis

We consider a self-gravitating, rigidly rotating charged perfect fluid immersed in the Wald magnetosphere, constructed out of two linearly independent Killing vectors present in stationary and axially-symmetric spacetimes. We show that in…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Paweł Doruchowski , Patryk Mach , Audrey Trova , Bakhtinur Juraev

We present a brief review of exact solutions of cylindrical symmetric fields in General Relativity produced by different perfect fluid sources. These sources are assumed static, stationary, translating and collapsing. Properties of these…

General Relativity and Quantum Cosmology · Physics 2023-04-18 N. O. Santos , Anzhong Wang

A perfect-fluid space-time of dimension n>3 with 1) irrotational velocity vector field, 2) null divergence of the Weyl tensor, is a generalised Robertson-Walker space-time with Einstein fiber. Condition 1) is verified whenever pressure and…

Differential Geometry · Mathematics 2016-03-07 Carlo Alberto Mantica , Luca Guido Molinari , Uday Chand De

In this paper we derive some new invariant solutions of Einstein-Maxwell's field equations for string fluid as source of matter in cylindrically symmetric space-time with Variable Magnetic Permeability. We also discuss the physical and…

General Relativity and Quantum Cosmology · Physics 2015-01-09 Ahmad T. Ali , Anil Kumar Yadav , Farook Rahaman , Arkopriya Mallick

We compute cosmological perturbations for a generic self-gravitating media described by four derivatively- coupled scalar fields. Depending on the internal symmetries of the action for the scalar fields, one can describe perfect fluids,…

General Relativity and Quantum Cosmology · Physics 2017-11-28 Marco Celoria , Denis Comelli , Luigi Pilo

We develop the WKB expansion to relate Quantum Field Theory variables with those describing macroscopical matter. We find that, up to the first quantum correction, free scalar fields correspond to perfect fluids with pressure. We also find…

High Energy Physics - Theory · Physics 2009-10-31 G. Domenech , M. L. Levinas

Recently it was shown that if the matter congruence of a general relativistic perfect fluid flow in an almost FLRW universe is shear-free, then it must be either expansion or rotation-free. Here we generalize this result for a general f(R)…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Amare Abebe , Rituparno Goswami , Peter K. S. Dunsby

We analyze the stress-energy tensor necessary to generate a general stationary and axisymmetric spacetime. The constraints on the geometry arising from considering a perfect fluid as a source are derived. For a fluid with a nonzero stress…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. E. Perez Bergliaffa , K. E. Hibberd

We introduce a physical characterization of the static and stationary perfect fluid solutions of the Einstein field equations with a single or 2-component perfect fluid sources, according to their gravitoelectric and gravitomagnetic fields.…

General Relativity and Quantum Cosmology · Physics 2025-07-02 M. Nouri-Zonoz , A. Nouri-Zonoz

An exact, plane wave solution of the gravitational field equations is investigated. The source stress tensor is represented by an anisotropic null fluid with energy flux to which the energy density $\rho$ and all pressures are finite…

General Relativity and Quantum Cosmology · Physics 2017-01-03 Hristu Culetu

In order to find out whether empty singular boundaries can arise in higher dimensional Gravity, we study the solution of Einstein's equations consisting in a ($N+2$)-dimensional static and hyperplane symmetric perfect fluid satisfying the…

General Relativity and Quantum Cosmology · Physics 2012-08-21 Ricardo E. Gamboa Saravi

Perfect-fluid, static, cylindrically symmetric solutions of Einstein's field equations are obtained for the equations of state $\rho+3p=0$ and $\rho=p$. In the former case, the density and the pressure turn out to be constant while in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Sharif

In this thesis we study field theoretic viewpoints on certain fluid mechanical phenomena. In the Higgs mechanism, the weak gauge bosons acquire masses by interacting with a scalar field, leading to a vector boson mass matrix. On the other…

Fluid Dynamics · Physics 2020-10-13 Sachin Shyam Phatak