标题： 具有非最小导数耦合的引力理论中的中子星和现实状态方程 显示英文标题

标题： Neutron stars in the theory of gravity with nonminimal derivative coupling and realistic equations of state

摘要： 我们数值构建了在标量-张量引力理论中的致密星体，该理论中标量场与曲率存在非最小导数耦合，并且宇宙学常数不为零。 该引力模型中有两个自由参数：非最小导数耦合参数$\ell$和宇宙学常数参数$\xi$。 我们研究了模型参数与中子星特征之间的关系，这使我们能够限制$\xi$和$\ell$的允许范围。 特别是，在$\xi=-1$的情况下，中子星的外部几何与 Schwarzschild 反德西特几何一致，而星体的内部几何则不同于标准引力理论的情况。 考虑了大量现实的中子星物质状态方程。 一般来说，具有非最小导数耦合的引力理论中的中子星模型并不与天文学数据矛盾，并且是可行的。 显示英文摘要

摘要： We numerically construct compact stars in the scalar-tensor theory of gravity with non-minimal derivative coupling of a scalar field to the curvature and nonzero cosmological constant. There are two free parameters in this model of gravity: the non-minimal derivative coupling parameter $\ell$ and the cosmological constant parameter $\xi$. We study the relationship between the model parameters and characteristic of the neutron star, what allowed us to limit the permissible range of $\xi$ and $\ell$. In particular, in the case $\xi=-1$ the external geometry of the neutron star coincides with the Schwarzschild anti-de Sitter geometry, while the internal geometry of the star differs from the case of the standard gravity theory. Plenty realistic equations of state of neutron star matter were considered. In general the neutron star model in the theory of gravity with a non-minimal derivative coupling does not contradict astronomical data and is viable.