scholarly journals Hydrodynamic waves in an anomalous charged fluid

2016 ◽  
Vol 762 ◽  
pp. 23-32 ◽  
Author(s):  
Navid Abbasi ◽  
Ali Davody ◽  
Kasra Hejazi ◽  
Zahra Rezaei
Keyword(s):  
Hydrodynamic Waves ◽  
Charged Fluid

scholarly journals Gravitational and Electromagnetic Perturbations of a Charged Black Hole in a General Gauge Condition

Particles ◽  
2021 ◽  
Vol 4 (2) ◽  
pp. 106-128
Author(s):  
Claudia Moreno ◽  
Juan Carlos Degollado ◽  
Darío Núñez ◽  
Carlos Rodríguez-Leal
Keyword(s):  
Black Hole ◽  
Scalar Function ◽  
Gauge Condition ◽  
Fluid Distribution ◽  
Electromagnetic Signal ◽  
Charged Fluid ◽  
Coupled Equations ◽  
Electromagnetic Signals ◽  
Limiting Case ◽  
Weyl Scalar

We derive a set of coupled equations for the gravitational and electromagnetic perturbation in the Reissner–Nordström geometry using the Newman–Penrose formalism. We show that the information of the physical gravitational signal is contained in the Weyl scalar function Ψ4, as is well known, but for the electromagnetic signal, the information is encoded in the function χ, which relates the perturbations of the radiative Maxwell scalars φ2 and the Weyl scalar Ψ3. In deriving the perturbation equations, we do not impose any gauge condition and as a limiting case, our analysis contains previously obtained results, for instance, those from Chandrashekhar’s book. In our analysis, we also include the sources for the perturbations and focus on a dust-like charged fluid distribution falling radially into the black hole. Finally, by writing the functions on the basis of spin-weighted spherical harmonics and the Reissner–Nordström spacetime in Kerr–Schild type coordinates, a hyperbolic system of coupled partial differential equations is presented and numerically solved. In this way, we completely solve a system that generates a gravitational signal as well as an electromagnetic/gravitational one, which sets the basis to find correlations between them and thus facilitates gravitational wave detection via electromagnetic signals.

scholarly journals Causality and stability conditions of a conformal charged fluid

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Farid Taghinavaz
Keyword(s):  
Chemical Potential ◽  
Second Law Of Thermodynamics ◽  
Dense Medium ◽  
Wave Number ◽  
Second Law ◽  
Stability Conditions ◽  
Charged Fluid ◽  
Large Wave ◽  
The Stability ◽  
Large Wave Number

Abstract In this paper, I study the conditions imposed on a normal charged fluid so that the causality and stability criteria hold for this fluid. I adopt the newly developed General Frame (GF) notion in the relativistic hydrodynamics framework which states that hydrodynamic frames have to be fixed after applying the stability and causality conditions. To do this, I take a charged conformal matter in the flat and 3 + 1 dimension to analyze better these conditions. The causality condition is applied by looking to the asymptotic velocity of sound hydro modes at the large wave number limit and stability conditions are imposed by looking to the imaginary parts of hydro modes as well as the Routh-Hurwitz criteria. By fixing some of the transports, the suitable spaces for other ones are derived. I observe that in a dense medium having a finite U(1) charge with chemical potential μ0, negative values for transports appear and the second law of thermodynamics has not ruled out the existence of such values. Sign of scalar transports are not limited by any constraints and just a combination of vector transports is limited by the second law of thermodynamic. Also numerically it is proved that the most favorable region for transports $$ {\tilde{\upgamma}}_{1,2}, $$ γ ˜ 1 , 2 , coefficients of the dissipative terms of the current, is of negative values.

On the isometric motion of a charged fluid in the Einstein-Maxwell theory

1974 ◽  
Vol 336 (1606) ◽  
pp. 273-284 ◽  
Keyword(s):  
Killing Vector ◽  
Fluid Motion ◽  
Fluid Pressure ◽  
Field Equations ◽  
Maxwell Theory ◽  
Charged Fluid ◽  
Spherically Symmetric Solution ◽  
Electromagnetic Field Tensor ◽  
Discrete Values ◽  
Full Solution

It is shown that in the Einstein-Maxwell theory a class of four-dimensional charged fluid space-times exists, with non-zero fluid pressure, satisfying the conditions that (i) the fluid motion is isometric, (ii) the dual of the electromagnetic field tensor has no projection in the direction of a Killing vector - equivalent to the condition that in a static space time the local field of an observer moving with the fluid is purely electric - and (iii) the ratio of charge to mass is constant. For the case of a diagonal static metric it is seen that a group of quasi-conformal transformations may be determined which leaves the field equations unchanged. This may be used to obtain a full solution of the field equations, in three independent variables, from a given solution in one independent variable. A spherically symmetric solution of this kind is obtained which is seen to be expressible in terms of hypergeometric functions. An interesting aspect of this is that the charge/mass ratio can only have discrete values depending on the eigenvalues of a linear boundary-value problem.

The “Brecciated Limestones” of Maiella, Italy: Rheological implications of hydrocarbon-charged fluid migration in the Messinian Mediterranean Basin

2013 ◽  
Vol 390 ◽  
pp. 130-147 ◽  
Author(s):  
Annalisa Iadanza ◽  
Gianluca Sampalmieri ◽  
Paola Cipollari ◽  
Marco Mola ◽  
Domenico Cosentino
Keyword(s):  
Mediterranean Basin ◽  
Fluid Migration ◽  
Charged Fluid

Theoretical equations of state for a charged fluid

2019 ◽  
Vol 150 (14) ◽  
pp. 144507 ◽  
Author(s):  
X. Sánchez-Monroy ◽  
J. Torres-Arenas ◽  
A. Gil-Villegas
Keyword(s):  
Equations Of State ◽  
Charged Fluid

scholarly journals Anisotropic charged fluid spheres in D space–time dimensions

2000 ◽  
Vol 41 (7) ◽  
pp. 4752-4764 ◽  
Author(s):  
T. Harko ◽  
M. K. Mak
Keyword(s):  
Space Time ◽  
Charged Fluid ◽  
Fluid Spheres
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