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Dynamical instability of collapsing stars in the framework of Rn gravity


Kausar, Hafiza Rizwana (2014). Dynamical instability of collapsing stars in the framework of Rn gravity. Monthly Notices of the Royal Astronomical Society, 445(4):3650-3658.

Abstract

To see the evolution of the physical variables at the surface of a star and to establish the range for an unstable system, we investigate the dynamical instability of a spherically symmetric collapsing star in the framework of Rn gravity. For this purpose, we have reformulated the dynamical equations in f(R) theory and perturb them in a specific manner. Under this perturbation scheme, quantities like energy density, pressure and heat flux are obtained and then used in the collapse equation which yield instability range for the ratio of specific heats Γ. Shear-free condition is applied and results are reduced to R2, $\frac{1}{R}$ and R gravity by choosing particular values of n in the f(R) model Rn

Abstract

To see the evolution of the physical variables at the surface of a star and to establish the range for an unstable system, we investigate the dynamical instability of a spherically symmetric collapsing star in the framework of Rn gravity. For this purpose, we have reformulated the dynamical equations in f(R) theory and perturb them in a specific manner. Under this perturbation scheme, quantities like energy density, pressure and heat flux are obtained and then used in the collapse equation which yield instability range for the ratio of specific heats Γ. Shear-free condition is applied and results are reduced to R2, $\frac{1}{R}$ and R gravity by choosing particular values of n in the f(R) model Rn

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Item Type:Journal Article, refereed, original work
Communities & Collections:National licences > 142-005
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Astronomy and Astrophysics
Physical Sciences > Space and Planetary Science
Uncontrolled Keywords:Instabilities, Methods: analytical
Language:English
Date:21 December 2014
Deposited On:31 Oct 2018 17:26
Last Modified:31 Jul 2020 02:15
Publisher:Oxford University Press
ISSN:0035-8711
OA Status:Hybrid
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1093/mnras/stu1983
Related URLs:https://www.swissbib.ch/Search/Results?lookfor=nationallicenceoxford101093mnrasstu1983 (Library Catalogue)

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