论文标题
4D爱因斯坦 - 高斯 - 邦网中多潮流恒星的各向异性溶液
Anisotropic solution for polytropic stars in 4D Einstein-Gauss-Bonnet gravity
论文作者
论文摘要
在目前的工作中，我们研究了一种新的各向异性解决方案，用于$ 4D $ EINSTEIN-GAUSS-BONNET（EGB）重力的框架。确定紧凑型恒星的质量和半径的可能性，这会限制在核饱和密度以上的状态方程（EOS）方程。为此，通过使用Finch-Skea Ansatz取得广义的状态（EOS）来解决$ 4D $ EGB字段方程。各向异性模型的广义解决方案已经测试了高斯 - 骨网常数$α$的不同值，该$α$满足所有物理标准，包括通过质量与中央质量密度（$ M-ρ_C$），Bondi和Abreu Criterion进行静态稳定性的因果关系。绝热指数显示出GB耦合常数的较小影响，而EGB重力中的中央和表面红移始终仍低于GR。我们提出了通过$ M-R $曲线适合某些已知紧凑型星的质量和半径的可能性，该曲线满足了GW 170817事件的最近重力波观测。
In the present work we have investigated a new anisotropic solution for polytropic star in the framework of $4D$ Einstein-Gauss-Bonnet (EGB) gravity. The possibility of determining the masses and radii of compact stars which puts some limitations on equation of state (EoS) above the nuclear saturation density. For this purpose, the $4D$ EGB field equations are solved by taking a generalized polytropic equation of state (EoS) with Finch-Skea ansatz. The generalized solution for anisotropic model has been tested for different values of Gauss-Bonnet constant $α$ which satisfies all the physical criteria including causality with static stability via mass vs central mass density ($M-ρ_c$), Bondi and Abreu criterion. The adiabatic index shows a minor influence of the GB coupling constant whereas the central and surface redshifts in the EGB gravity always remain lower than the GR. We present the possibility of fitting the mass and radius for some known compact star via $M-R$ curve which satisfies the recent gravitational wave observations from GW 170817 event.
