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arXiv 2202.11567gr-qcastro-ph.GAastro-ph.SR
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Tolman-Kuchowicz时空中含重子物质和奇异夸克物质的混合星模型

Model of hybrid star with baryonic and strange quark matter in Tolman-Kuchowicz spacetime

Pramit Rej, Piyali Bhar

AI总结:

本研究在Tolman-Kuchowicz时空中构建含奇异夸克物质核心与重子物质外壳的混合致密星模型,通过MIT袋模型和线性状态方程求解场方程,验证了Her X-1作为奇异夸克星候选体的物理可行性。

摘要:

我们当前工作的目的是研究一种静态各向异性相对论性混合致密星的新特征,该星由内核心的奇异夸克物质(SQM)和外壳层的正常重子物质分布组成。这里我们采用唯象MIT袋模型状态方程的最简形式 $p_q = \frac{1}{3}(ρ_q - 4B_g)$ 来关联恒星内部奇异夸克物质的密度和压力,而重子物质引起的径向压力和物质密度通过简单的线性状态方程 $p_r = αρ- β$ 相联系。为了获得爱因斯坦场方程的解,我们使用了Tolman-Kuchowicz {\em ansatz} [Tolman, Phys Rev 55:364, 1939; Kuchowicz, Acta Phys Pol 33:541, 1968],并进一步从一些物理条件推导出任意常数。这里,我们针对物理上合理的条件,以图形和分析方式详细检验了我们提出的模型。特别是,在这项研究中,我们在论文中报告了致密天体Her $X-1$ [质量=$(0.98 \pm 0.12)M_{\odot}$;半径= $8.1_{-0.41}^{+0.41}$ km] 作为奇异夸克星候选体。为了检查我们建议模型的物理有效性和稳定性,我们进行了各种物理测试,包括解析和图形方式,即作用力的动力学平衡、能量条件、致密度因子和表面红移等。最后,我们发现我们当前的模型满足现实模型的所有必要物理要求,可用于研究奇异夸克星(SQS)。

英文摘要:

The purpose of our present work is to investigate some new features of a static anisotropic relativistic hybrid compact star composed of strange quark matter (SQM) in the inner core and normal baryonic matter distribution in the crust. Here we apply the simplest form of the phenomenological MIT bag model equation of state $p_q = \frac{1}{3}(ρ_q - 4B_g)$ to correlate the density and pressure of strange quark matter within the stellar interior, whereas radial pressure and matter density due to baryonic matter are connected by the simple linear equation of state $p_r = αρ- β$. In order to obtain the solution of the Einstein field equations, we have used the Tolman-Kuchowicz {\em ansatz} [Tolman, Phys Rev 55:364, 1939; Kuchowicz, Acta Phys Pol 33:541, 1968] and further derivation of the arbitrary constants from some physical conditions. Here, we examine our proposed model graphically and analytically in detail for physically plausible conditions. In particular, for this investigation, we have reported on the compact object Her $X-1$ [Mass=$(0.98 \pm 0.12)M_{\odot}$; Radius= $8.1_{-0.41}^{+0.41}$ km] in our paper as a strange quark star candidate. In order to check the physical validity and stability of our suggested model, we have performed various physical tests both analytically and graphically, namely, dynamical equilibrium of applied forces, energy conditions, compactness factor, and surface redshift etc. Finally, we have found that our present model meets all the necessary physical requirements for a realistic model and can be studied for strange quark stars (SQS).

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