标题： 基于几何推导状态方程的致密星的不同类别 显示英文标题

标题： Distinct Classes of Compact Stars Based On Geometrically Deduced Equations of State

摘要： 我们基于超密星核心-包层模型推导出的状态方程（EOS）计算了致密天体如中子星的性质。 这种超密星是通过基于拟球面和球对称时空几何解爱因斯坦方程来研究的。 计算得到的恒星性质与基于核物质状态方程得到的结果进行了比较。 从这里获得的质量-半径（$M-R$）关系中，我们能够将致密星分为三类：（i）高度致密的自束缚星，其代表具有奇异物质组成的天体，半径低于9公里；（ii）正常中子星，半径在9到12公里之间；（iii）软物质中子星，其半径在12到20公里之间。 对于这三类天体，还计算了其他性质，如开普勒频率、表面重力和表面引力红移。 目前的研究工作对于研究具有奇异物质组成的高度致密类中子星具有重要意义。 显示英文摘要

摘要： We have computed the properties of compact objects like neutron stars based on equation of state (EOS) deduced from a core-envelope model of superdense stars. Such superdense stars have been studied by solving the Einstein's equation based on pseudo-spheroidal and spherically symmetric space-time geometry. The computed star properties are compared with those obtained based on nuclear matter equations of state. From the mass-radius ($M-R$) relationship obtained here, we are able to classify compact stars in three categories: (i) highly compact self -bound stars that represents exotic matter compositions with radius lying below 9 km (ii) normal neutron stars with radius between 9 to 12 km and (iii) soft matter neutron stars having radius lying between 12 to 20 km. Other properties such as Keplerian frequency, surface gravity and surface gravitational redshift are also computed for all the three types. The present work would be useful for the study of highly compact neutron like stars having exotic matter compositions.