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Title: Stability analysis of restricted non-static axial symmetry

This paper aims to investigate the instability of very restricted class of non-static axially symmetric spacetime with anisotropic matter configuration. The perturbation scheme is established for the Einstein field equations and conservation laws. The instability range in the Newtonian and post-Newtonian regions are explored by constructing the collapse equation in this scenario. It is found that the adiabatic index plays an important role in the stability analysis which depends upon the physical parameters i.e., energy density and anisotropic pressure of the fluid distribution.
Authors:
;  [1]
  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590 (Pakistan)
Publication Date:
OSTI Identifier:
22369940
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2013; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANISOTROPY; AXIAL SYMMETRY; CONFIGURATION; CONSERVATION LAWS; DISTRIBUTION; DISTURBANCES; EINSTEIN FIELD EQUATIONS; ENERGY DENSITY; FLUIDS; INSTABILITY; MATTER; PERTURBATION THEORY; SPACE-TIME; STABILITY