论文标题
暗物质液球的新型号
A new model for dark matter fluid sphere
论文作者
论文摘要
我们为一个包含两个区域的球形对称暗物质球开发了一个新模型:{\ bf(i)}各向同性内部区域具有恒定密度,并且{\ bf(ii)}各向异性外部区域。我们通过假设特定的密度曲线以及状态方程来解决场方程系统。所获得的溶液是良好的,并且在身体上可接受,通过满足TOV方程和因果关系条件,对绝热指数,Harrison-Zeldovich-Novikov标准,代表平衡和稳定的物质配置。我们考虑紧凑型星EXO 1785-248(质量$ M = 1.3〜M _ {\ odot} $和RADIUS $ r = 8.8〜km。$),通过图形演示分析我们的解决方案。
We develop a new model for a spherically symmetric dark matter fluid sphere containing two regions: {\bf (i)} Isotropic inner region with constant density and {\bf (ii)} Anisotropic outer region. We solve the system of field equation by assuming a particular density profile along with a linear equation of state. The obtained solutions are well-behaved and physically acceptable which represent equilibrium and stable matter configuration by satisfying the TOV equation and causality condition, condition on adiabatic index, Harrison-Zeldovich-Novikov criterion, respectively. We consider the compact star EXO 1785-248 (Mass $M=1.3~M_{\odot}$ and radius $R = 8.8 ~km.$) to analyze our solutions by graphical demonstrations.