论文标题
相对论各向异性流体满足非线性状态方程
Relativistic Anisotropic Fluid Spheres Satisfying a Non-Linear Equation of State
论文作者
论文摘要
在这项工作中，提供了爱因斯坦场方程的球形对称和静态相对论各向异性流体球。为了构建这个特定的模型，我们施加了指标势$ e^{2λ（r）} $和一个状态方程。具体而言，所谓的修改经过的概括性状态方程为$ω= 1 $，并取决于两个参数，即$ a $和$ b $。这些成分至少在数学上解决了问题。但是，要检查模型的可行性，已经进行了完整的物理分析。因此，我们分析了所获得的几何形状和主要物理观测值，例如密度$ρ$，radial $ p_ {r} $和切向$ p_ {t} $压力以及各向异性因子$Δ$。此外，已经通过压力波的速度和相对论绝热指数检查了系统的稳定性。发现在考虑绝热指数标准并在静水平衡的情况下，配置在考虑绝热指数方面是稳定的。最后，为了模仿一个逼真的紧凑对象，我们将半径施加为$ r = 9.5 \ [km] $。有了这些信息并获取参数$ a $的不同值，已经确定了对象的总质量。该模型主变量的最终数值确定结构可以代表与深色能量混合的夸克（奇怪）恒星。
In this work, a spherically symmetric and static relativistic anisotropic fluid sphere solution of the Einstein field equations is provided. To build this particular model, we have imposed metric potential $e^{2λ(r)}$ and an equation of state. Specifically, the so-called modified generalized Chaplygin equation of state with $ω=1$ and depending on two parameters, namely, $A$ and $B$. These ingredients close the problem, at least mathematically. However, to check the feasibility of the model, a complete physical analysis has been performed. Thus, we analyze the obtained geometry and the main physical observables, such as the density $ρ$, the radial $p_{r}$, and tangential $p_{t}$ pressures as well as the anisotropy factor $Δ$. Besides, the stability of the system has been checked by means of the velocities of the pressure waves and the relativistic adiabatic index. It is found that the configuration is stable in considering the adiabatic index criteria and is under hydrostatic balance. Finally, to mimic a realistic compact object, we have imposed the radius to be $R=9.5\ [km]$. With this information and taking different values of the parameter $A$ the total mass of the object has been determined. The resulting numerical values for the principal variables of the model established that the structure could represent a quark (strange) star mixed with dark energy.
