论文标题
4D爱因斯坦 - 加斯 - 鲍尼特重力中的相对论恒星
Relativistic stars in 4D Einstein-Gauss-Bonnet gravity
论文作者
论文摘要
在本文中，我们研究了4D爱因斯坦 - 加斯 - 邦网重力中相对论恒星的结构。对于现实的HADRONIC和奇怪的Quark Star方程以及广泛的高斯 - 骨网耦合参数$α$，获得了质量 - 拉迪乌斯关系。尽管对于$α$的非零值的一般相对性的偏差可能足够大，但如果我们将自己限制为中等值$α$，它们仍然与变化相当。这就是为什么仅凭中子恒星质量和半径的当前观察结果无法对参数$α$的值施加严格的约束。然而，可以对$α$的一些粗略约束。 The existence of stable stellar mass black holes imposes $\sqrtα\lesssim 2.6 {\rm km}$ for $α>0$ while the requirement that the maximum neutron star mass should be greater than two solar masses gives $\sqrt{|α|}\lesssim 3.9 {\rm km}$ for $α<0$.我们还提出了一个精确的解决方案，描述了相对论恒星在4D Einstein-Gauss-Bonnet重力中具有均匀能量密度的结构。
In the present paper we investigate the structure of relativistic stars in 4D Einstein-Gauss-Bonnet gravity. The mass-radius relations are obtained for realistic hadronic and for strange quark star equations of state, and for a wide range of the Gauss-Bonnet coupling parameter $α$. Even though the deviations from general relativity for nonzero values of $α$ can be large enough, they are still comparable with the variations due to different modern realistic equations of state if we restrict ourselves to moderate value of $α$. That is why the current observations of the neutron star masses and radii alone can not impose stringent constraints on the value of the parameter $α$. Nevertheless some rough constraints on $α$ can be put. The existence of stable stellar mass black holes imposes $\sqrtα\lesssim 2.6 {\rm km}$ for $α>0$ while the requirement that the maximum neutron star mass should be greater than two solar masses gives $\sqrt{|α|}\lesssim 3.9 {\rm km}$ for $α<0$. We also present an exact solution describing the structure of relativistic stars with uniform energy density in 4D Einstein-Gauss-Bonnet gravity.
