2017/06/19 by Z. Yousaf, Z Yousaf, M. Zaeem-ul-Haq Bhatti +2 · 70 citations
Physics and Astronomy · #Adiabatic process #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #Dissipation #Gravitation #Hydrostatic equilibrium #Instability #Newtonian fluid #Perturbation (astronomy) #gr-qc
paper · pdf · doi:10.1088/1361-6382/aa73b9
published in Classical and Quantum Gravity 34(14), 145002 (IOP Publishing) · 28 pages, no figure
openalex publication_date 2017/06/19 · openalex created_date 2017/06/30 · arxiv created 2017/09/12 · arxiv updated 2017/09/14 · openalex updated_date 2026/08/05
Abstract The aim of this paper is to perform stability analysis of an anisotropic dissipative cylindrical collapsing model in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mstyle displaystyle="false"> <mml:mi>f</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>R</mml:mi> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> <mml:mo>,</mml:mo> <mml:msub> <mml:mi>R</mml:mi> <mml:mrow> <mml:mi>μ</mml:mi> <mml:mi>ν</mml:mi> </mml:mrow> </mml:msub> <mml:msup> <mml:mi>T</mml:mi> <mml:mrow> <mml:mi>μ</mml:mi> <mml:mi>ν</mml:mi> </mml:mrow> </mml:msup> <mml:mo stretchy="false">)</mml:mo> </mml:mstyle> </mml:math> gravity. In this context, the modified version of the hydrodynamical equation is explored by means of dynamical equations and a radial perturbation scheme. We examined the role of the adiabatic index, dissipation as well as the particular cosmological model on the onset of dynamical instability of the evolving cylindrical system that was initially in hydrostatic equilibrium with Newtonian and post Newtonian approximations. It is pointed out that extra curvature terms of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mstyle displaystyle="false"> <mml:mi>f</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>R</mml:mi> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> <mml:mo>,</mml:mo> <mml:msub> <mml:mi>R</mml:mi> <mml:mrow> <mml:mi>μ</mml:mi> <mml:mi>ν</mml:mi> </mml:mrow> </mml:msub> <mml:msup> <mml:mi>T</mml:mi> <mml:mrow> <mml:mi>μ</mml:mi> <mml:mi>μ</mml:mi> <mml:mi>ν</mml:mi> </mml:mrow> </mml:msup> <mml:mo stretchy="false">)</mml:mo> </mml:mstyle> </mml:math> gravity tend to increase the stability, while heat radiations push the system to enter into an unstable window. Further, our results reveal the significance of the adiabatic index in the stability analysis of a cylindrical celestial model.