scholarly journals A Study of Charged Cylindrical Gravitational Collapse with Dissipative Fluid

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Sanjukta Chakraborty ◽  
Subenoy Chakraborty
Keyword(s):  
Heat Flux ◽  
Transport Equation ◽  
Gravitational Collapse ◽  
Thermodynamic Theory ◽  
Anisotropic Fluid ◽  
Heat Conducting ◽  
Dynamical Equations ◽  
Viscous Heat ◽  
Dissipative Fluid ◽  
Cylindrical Collapse

The present works deals with gravitational collapse of cylindrical viscous heat conducting anisotropic fluid following the work of Misner and Sharp. Using Darmois matching conditions, the dynamical equations are derived and the effects of charge and dissipative quantities over the cylindrical collapse are analyzed. Finally, using the Miller-Israel-Steward causal thermodynamic theory, the transport equation for heat flux is derived and its influence on collapsing system has been studied.

Dynamics of viscous dissipative collapse with casual approach in string inspired Gauss–Bonnet gravity

2019 ◽  
Vol 34 (10) ◽  
pp. 1950074
Author(s):  
M. Tahir ◽  
G. Abbas
Keyword(s):  
Heat Flux ◽  
Gravitational Collapse ◽  
Bulk Viscosity ◽  
Transport Equations ◽  
Coupling Coefficients ◽  
Dynamical Equations ◽  
Bonnet Gravity ◽  
Viscous Heat ◽  
Theory Of Gravity

In this work, we have studied the effects of dissipative viscous/heat gravitational collapse on the dynamics of collapsing source in 5D Einstein–Gauss–Bonnet theory using full casual approach. For this purpose, the dynamical equations have been formulated by using Misner–Sharp approach in 5D Einstein–Gauss–Bonnet theory of gravity. Using the Müller–Israel–Stewart theory, the dynamical equations have coupled with casual transport equations for the heat flux, the bulk and shear bulk viscosity to determine the effects of heat flux including thermodynamics viscous/heat coupling coefficients. The applications of this work to certain astrophysical situations are discussed.

Dynamics of dissipative self-gravitating source in Rastall gravity

2021 ◽  
pp. 2150153
Author(s):  
M. Tahir ◽  
G. Abbas ◽  
Kazuharu Bamba ◽  
M. R. Shahzad
Keyword(s):  
Heat Flux ◽  
Transport Equation ◽  
Heat Transport ◽  
Gravitational Collapse ◽  
Diffusion Approximation ◽  
Field Equations ◽  
Dynamical Equations ◽  
Stewart Approach ◽  
Heat Transport Equation ◽  
And Diffusion

The dynamics of dissipative gravitational collapse of a source is explored in Rastall gravity. The field equations are derived for the geometry and collapsing matter. The dynamical equations are formulated for the heat flux and diffusion approximation. The heat transportation equation is derived by using Müller–Israel–Stewart approach to investigate the effects of heat flux on the collapsing source. Moreover, an equation is found by combining the dynamical and heat transport equation, the consequences of this equation are discussed in detail. Furthermore, the Rastall parameter [Formula: see text] effect is analyzed for the collapse of sphere.

COUPLING OF DYNAMICAL AND TRANSPORT EQUATIONS IN f(R) THEORY

2013 ◽  
Vol 23 ◽  
pp. 276-280
Author(s):  
M. SHARIF ◽  
H. RIZWANA KAUSAR
Keyword(s):  
Heat Flux ◽  
Dark Energy ◽  
Transport Equation ◽  
Gravitational Collapse ◽  
Transport Equations ◽  
Anisotropic Fluid ◽  
Spherically Symmetric

This paper is devoted to study spherically symmetric gravitational collapse with anisotropic fluid in f(R) theory which undergoes dissipation in the form of heat flux. We develop dynamical and transport equation and finally couple them. This yields different possibilities of collapse and explosions connected with supernovae events and immense of dark energy terms arising from modifying gravity.

Collapsing of charged cylindrical symmetric source in f(R,G) gravity with heat flux

2020 ◽  
Vol 17 (02) ◽  
pp. 2050026
Author(s):  
Suhail Khan ◽  
Hassan Shah ◽  
Zahid Ahmad
Keyword(s):  
Heat Flux ◽  
Transport Equation ◽  
Gravitational Collapse ◽  
Positive Curvature ◽  
Higher Order ◽  
Anisotropic Pressure ◽  
Dynamical Equations ◽  
Symmetric Source ◽  
Text Model

This investigation deals with the dynamics of charged cylindrical gravitational collapse with anisotropic pressure and heat flux in [Formula: see text] gravity. For this purpose, we adopt the Misner–Sharp formalism to construct the dynamical equations and derive transport equation. Furthermore, we examine the collapsing rate by coupling the transport and dynamical equations. It is observed that the higher-order curvature terms influence the whole collapsing process such that the presence of positive curvature terms speeds up the collapsing process. It is also noted that for constant [Formula: see text] model the collapsing rate reduces.

Charged bulk viscous cylindrical collapse in f(R) theory

2018 ◽  
Vol 27 (02) ◽  
pp. 1850013 ◽  
Author(s):  
M. Sharif ◽  
Naila Farooq
Keyword(s):  
Transport Equation ◽  
Source Terms ◽  
Dynamical Equations ◽  
Cylindrical Model ◽  
Bulk Viscous ◽  
Dissipative Fluid ◽  
Collapse Rate ◽  
Cylindrical Collapse

In this paper, we investigate the dynamics of charged cylindrical stellar collapsing model filled with bulk viscous dissipative fluid in [Formula: see text] gravity. For this purpose, we formulate dynamical equations through Misner–Sharp technique and derive transport equation. Finally, we analyze the collapse rate by coupling the transport and dynamical equations. It is concluded that the collapse rate of charged cylindrical model slows down under the influence of dark source terms and matter variables.

The planar Couette flow with slip and jump boundary conditions in a microchannel

2016 ◽  
Vol 22 (4) ◽  
Author(s):  
Mohamed Hssikou ◽  
Jamal Baliti ◽  
Mohammed Alaoui
Keyword(s):  
Heat Flux ◽  
Boundary Conditions ◽  
Direct Simulation Monte Carlo ◽  
Ideal Gas ◽  
Navier Stokes ◽  
Heat Conducting ◽  
Direct Simulation ◽  
Dilute Gas ◽  
Viscous Heat ◽  
Simulation Monte Carlo

AbstractThe steady state of a dilute gas enclosed within a rectangular cavity, whose upper and lower sides are in relative motion, is considered in the slip and early transition regimes. The DSMC (Direct simulation Monte Carlo) method is used to solve the Boltzmann equation for analysing a Newtonian viscous heat conducting ideal gas with the slip and jump boundary conditions (SJBC) in the vicinity of horizontal walls. The numerical results are compared with the Navier–Stokes solutions, with and without SJBC, through the velocity, temperature, and normal heat flux profiles. The parallel heat flux and shear stress are also evaluated as a function of rarefaction degree; estimated by the Knudsen number

Charged cylindrical collapse in f(𝒢) gravity

2019 ◽  
Vol 35 (01) ◽  
pp. 1950340
Author(s):  
M. Sharif ◽  
Saba Naz
Keyword(s):  
Energy Density ◽  
Gravitational Collapse ◽  
Weyl Tensor ◽  
Effective Pressure ◽  
Conformally Flat ◽  
Dynamical Equations ◽  
Gravitational Effects ◽  
Collapse Rate ◽  
Cylindrical Collapse

The aim of this paper is to study the gravitational collapse of charged cylindrical star in [Formula: see text] gravity. For this purpose, we derive dynamical equations by applying Misner–Sharp formalism and examine the effects of effective pressure and charge on the collapse rate. We also construct a relationship between matter variables, Gauss–Bonnet (GB) terms, and the Weyl tensor. For the constant value of [Formula: see text], it is found that spacetime is conformally flat if and only if the energy density is homogeneous. We conclude that the rate of collapse slows down in [Formula: see text] gravity due to anti-gravitational effects.

scholarly journals DYNAMICS OF VISCOUS DISSIPATIVE GRAVITATIONAL COLLAPSE: A FULL CAUSAL APPROACH

2009 ◽  
Vol 18 (01) ◽  
pp. 129-145 ◽  
Author(s):  
L. HERRERA ◽  
A. DI PRISCO ◽  
E. FUENMAYOR ◽  
O. TROCONIS
Keyword(s):  
Heat Flux ◽  
Gravitational Collapse ◽  
Bulk Viscosity ◽  
Dynamical Equation ◽  
Transport Equations ◽  
Coupling Coefficients ◽  
Diffusion Approximations ◽  
Viscous Heat ◽  
Dissipative Case ◽  
Causal Approach

The Misner and Sharp approach to the study of gravitational collapse is extended to the viscous dissipative case in both the streaming out and the diffusion approximations. The dynamical equation is then coupled to causal transport equations for the heat flux, the shear, and the bulk viscosity, in the context of Israel–Stewart theory, without excluding the thermodynamics viscous/heat coupling coefficients. The result is compared with previous works where these later coefficients were neglected and viscosity variables were not assumed to satisfy causal transport equations. Prospective applications of this result to some astrophysical scenarios are discussed.

scholarly journals Dissipative cylindrical collapse of a charged anisotropic fluid in f(R) gravity

2017 ◽  
Vol 95 (12) ◽  
pp. 1278-1284
Author(s):  
M. Farasat Shamir ◽  
M. Atif Fayyaz
Keyword(s):  
General Relativity ◽  
Heat Flow ◽  
Field Strength ◽  
Anisotropic Fluid ◽  
Perturbation Scheme ◽  
Dynamical Equations ◽  
Curvature Term ◽  
Physical Variables ◽  
Limiting Case ◽  
Cylindrical Collapse

This paper is devoted to investigating the cylindrical collapse of an anisotropic fluid in f(R) gravity. For this purpose, the viscous charged anisotropic fluid dissipating energy with heat flow and shear is assumed. We use the perturbation scheme to develop the dynamical equations for the variables that ultimately lead to the disturbance of the physical variables and the Starobinksy-like f(R) model chosen. The evolution of the matter variables is discussed with the help of these equations. It can be concluded that the range of dynamic instabilities depends on the field strength, density distribution, pressure, and the curvature term of the f(R) model. We find that our results of Newtonian and post-Newtonian regimes reduce asymptotically to general relativity solutions in the limiting case.

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