标题： 通过引力中的Karmarkar条件研究HESS J1731-347致密天体的径向振荡 显示英文标题

标题： Radial Oscillations of the HESS J1731-347 Compact Object via the Karmarkar Condition in Gravity

摘要： 我们根据爱因斯坦的广义相对论对已知恒星质量和半径的轻量级HESS J1731-347致密天体进行建模，并在各向异性恒星的引力中施加Karmarkar条件。 该解析解的三个自由参数通过在恒星表面施加匹配条件来确定，适用于已知恒星质量和半径的天体。 最后，使用公认的准则表明，该解符合良好行为和现实解的所有要求。 此外，我们研究了径向振荡模式，并将其与很久以前通过Tolman IV精确解析解建模的各向同性恒星的模式进行了比较。 还对大频率间隔进行了比较。 显示英文摘要

摘要： We model the light HESS J1731-347 compact object (of known stellar mass and radius) within Einstein's General Relativity imposing the Karmarkar condition in gravity for anisotropic stars. The three free parameters of the analytic solution are determined imposing the matching conditions at the surface of the star for objects of known stellar mass and radius. Finally, using well established criteria it is shown that the solution is compatible with all requirements for well behaved and realistic solutions. Furthermore, we study the radial oscillation modes, and we compare to the ones corresponding to an isotropic star modeled by the Tolman IV exact analytic solution obtained long time ago. A comparison between the large frequency separations is made as well.