Version 1
: Received: 5 May 2023 / Approved: 8 May 2023 / Online: 8 May 2023 (08:53:11 CEST)
How to cite:
Barman, S.; Sharma, R. Critical Compactness Bound of a Select Class of Compact Stars. Preprints2023, 2023050484. https://doi.org/10.20944/preprints202305.0484.v1
Barman, S.; Sharma, R. Critical Compactness Bound of a Select Class of Compact Stars. Preprints 2023, 2023050484. https://doi.org/10.20944/preprints202305.0484.v1
Barman, S.; Sharma, R. Critical Compactness Bound of a Select Class of Compact Stars. Preprints2023, 2023050484. https://doi.org/10.20944/preprints202305.0484.v1
APA Style
Barman, S., & Sharma, R. (2023). Critical Compactness Bound of a Select Class of Compact Stars. Preprints. https://doi.org/10.20944/preprints202305.0484.v1
Chicago/Turabian Style
Barman, S. and Ranjan Sharma. 2023 "Critical Compactness Bound of a Select Class of Compact Stars" Preprints. https://doi.org/10.20944/preprints202305.0484.v1
Abstract
Tolman VII solution \citep{ref-journal 2} is an exact analytic solution to the Einstein field equations describing the space-time of a static spherically symmetric distribution of matter. The solution has been shown to be capable of describing the interior of compact objects like neutron stars. Generalized \cite{ref-journal 13} and modified \cite{ref-journal 10} versions of the solution are also available in the literature, which have been subsequently developed to accommodate more realistic descriptions of neutron stars. The stability of the modified Tolman VII solution has recently been analyzed by Posada {\em et al} \cite{ref-journal 9 }, who evaluated a critical value of the adiabatic index above which the stellar configuration becomes unstable against radial oscillations. In this paper, making use of the generalized version of the Tolman VII solution, we prescribe an upper bound on the compactness ($M/R$) beyond which the star becomes unstable. Our investigation is based on the stability analysis of a star against radial oscillations developed by Chandrasekhar \cite{ref-journal 1}. The analysis brings out to attention the role of a particular model parameter in the generalized Tolman VII solution which can be linked to the inhomogeneity of the matter distribution vis-a-vis equation of state (EOS).
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
