# 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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## Additional indexing

Item Type: Journal Article, refereed, original work National licences > 142-005 530 Physics Physical Sciences > Astronomy and Astrophysics Physical Sciences > Space and Planetary Science Instabilities, Methods: analytical English 21 December 2014 31 Oct 2018 17:26 26 Jan 2022 17:48 Oxford University Press 0035-8711 Hybrid Publisher DOI. An embargo period may apply. https://doi.org/10.1093/mnras/stu1983

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