The effect of pressure anisotropy on quark stars structure in the Starobinsky model

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Main Authors: Tangphati, Takol, Sakallı, İzzet, Banerjee, Ayan, Pradhan, Anirudh
Format: Preprint
Published: 2024
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_version_ 1866916789134295040
author Tangphati, Takol
Sakallı, İzzet
Banerjee, Ayan
Pradhan, Anirudh
author_facet Tangphati, Takol
Sakallı, İzzet
Banerjee, Ayan
Pradhan, Anirudh
contents The structure and stability of quark stars (QSs) made of interacting quark matter are discussed in this study, taking color superconductivity and perturbative QCD corrections into account. By combining this EoS with the Tolman-Oppenheimer-Volkoff (TOV) equations, we explore the mass-radius ($M-R$) relations of QSs. The analysis is conducted within the framework of $R^2$ gravity, where the gravity model is described by $f(R) = R + a R^2$. Our primary goal is to investigate how variations in the $R^2$ gravity parameter $a$ affect the mass-radius and mass-central density ($M-ρ_c$) relationships of QSs. Furthermore, we study the dynamical stability of these stars by analyzing the impact of anisotropy parameters $β$ and the interaction parameter $λ$ derived from the EoS, on their stability. Our results demonstrate that the presence of pressure anisotropy plays a significant role in increasing the maximum mass of QSs, with potential implications for the existence of super-massive pulsars. These findings are in agreement with recent astronomical observations, which suggest the possibility of neutron stars exceeding $2M_{\odot}$.
format Preprint
id arxiv_https___arxiv_org_abs_2411_06170
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The effect of pressure anisotropy on quark stars structure in the Starobinsky model
Tangphati, Takol
Sakallı, İzzet
Banerjee, Ayan
Pradhan, Anirudh
High Energy Physics - Theory
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Nuclear Theory
The structure and stability of quark stars (QSs) made of interacting quark matter are discussed in this study, taking color superconductivity and perturbative QCD corrections into account. By combining this EoS with the Tolman-Oppenheimer-Volkoff (TOV) equations, we explore the mass-radius ($M-R$) relations of QSs. The analysis is conducted within the framework of $R^2$ gravity, where the gravity model is described by $f(R) = R + a R^2$. Our primary goal is to investigate how variations in the $R^2$ gravity parameter $a$ affect the mass-radius and mass-central density ($M-ρ_c$) relationships of QSs. Furthermore, we study the dynamical stability of these stars by analyzing the impact of anisotropy parameters $β$ and the interaction parameter $λ$ derived from the EoS, on their stability. Our results demonstrate that the presence of pressure anisotropy plays a significant role in increasing the maximum mass of QSs, with potential implications for the existence of super-massive pulsars. These findings are in agreement with recent astronomical observations, which suggest the possibility of neutron stars exceeding $2M_{\odot}$.
title The effect of pressure anisotropy on quark stars structure in the Starobinsky model
topic High Energy Physics - Theory
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Nuclear Theory
url https://arxiv.org/abs/2411.06170