论文标题
球形变性恒星弯曲的时空中的状态方程
Equation of states in the curved spacetime of spherical degenerate stars
论文作者
论文摘要
在对球形变性恒星(例如中子恒星)的研究中,通过使用Tolman-Oppenhemer-Volkoff方程来描述其内部时空,从而纳入了一般相对论效应。但是,此类研究中使用的状态方程总是在平坦的时空计算。我们表明,在这些恒星的弯曲时空中计算的状态方程明确取决于度量函数。此外,我们表明,忽略这种度量依赖性的重力时间扩张效应会导致人们严重低估了这些紧凑型恒星的质量极限。
In the study of spherical degenerate stars such as neutron stars, general relativistic effects are incorporated by using Tolman-Oppenheimer-Volkoff equations to describe their interior spacetime. However, the equation of states employed in such studies are invariably computed in flat spacetime. We show that the equation of states computed in the curved spacetime of these stars depend explicitly on the metric function. Further, we show that ignoring such metric-dependent gravitational time dilation effect leads one to grossly underestimate the mass limits of these compact stars.