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Title: Effects of CDTT model on the dynamical instability of cylindrically symmetric collapsing stars

Abstract

We assume cylindrically symmetric stars which begin collapsing by dissipating energy in the form of heat flux. We wish to study the effects of Carroll-Duvvuri-Trodden-Turner (CDTT) model, f(R) = R+σμ{sup 4}/R, on the range of dynamical instability. For this purpose, perturbation scheme is applied to all the metric functions, material functions and f(R) model to obtain the full set of dynamical equation which control the evolution of the physical variables at the surface of a star. It is found that instability limit involves adiabatic index Γ which depends on the density profile and immense terms of perturbed CDTT model. In addition, model is constrained by some requirement, e.g. positivity of physical quantities. We also reduce our results asymptotically as μ→0, being the GR results in both the Newtonian and post Newtonian regimes.

Authors:
 [1]
  1. Centre for Applicable Mathematics and Statistics, UCP Business School, University of Central Punjab, Johar Town, Lahore (Pakistan)
Publication Date:
OSTI Identifier:
22279599
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2013; Journal Issue: 01; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTROPHYSICS; CONTROL; COSMOLOGY; DENSITY; DISTURBANCES; GRAVITATIONAL COLLAPSE; HEAT FLUX; METRICS; PERTURBATION THEORY; STARS; SYMMETRY

Citation Formats

Kausar, Hafiza Rizwana, E-mail: rizwa_math@yahoo.com. Effects of CDTT model on the dynamical instability of cylindrically symmetric collapsing stars. United States: N. p., 2013. Web. doi:10.1088/1475-7516/2013/01/007.
Kausar, Hafiza Rizwana, E-mail: rizwa_math@yahoo.com. Effects of CDTT model on the dynamical instability of cylindrically symmetric collapsing stars. United States. https://doi.org/10.1088/1475-7516/2013/01/007
Kausar, Hafiza Rizwana, E-mail: rizwa_math@yahoo.com. 2013. "Effects of CDTT model on the dynamical instability of cylindrically symmetric collapsing stars". United States. https://doi.org/10.1088/1475-7516/2013/01/007.
@article{osti_22279599,
title = {Effects of CDTT model on the dynamical instability of cylindrically symmetric collapsing stars},
author = {Kausar, Hafiza Rizwana, E-mail: rizwa_math@yahoo.com},
abstractNote = {We assume cylindrically symmetric stars which begin collapsing by dissipating energy in the form of heat flux. We wish to study the effects of Carroll-Duvvuri-Trodden-Turner (CDTT) model, f(R) = R+σμ{sup 4}/R, on the range of dynamical instability. For this purpose, perturbation scheme is applied to all the metric functions, material functions and f(R) model to obtain the full set of dynamical equation which control the evolution of the physical variables at the surface of a star. It is found that instability limit involves adiabatic index Γ which depends on the density profile and immense terms of perturbed CDTT model. In addition, model is constrained by some requirement, e.g. positivity of physical quantities. We also reduce our results asymptotically as μ→0, being the GR results in both the Newtonian and post Newtonian regimes.},
doi = {10.1088/1475-7516/2013/01/007},
url = {https://www.osti.gov/biblio/22279599}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 01,
volume = 2013,
place = {United States},
year = {Tue Jan 01 00:00:00 EST 2013},
month = {Tue Jan 01 00:00:00 EST 2013}
}