利用Karmarkar条件嵌入一类各向异性流体球
Anisotropic fluid spheres of embedding class one using Karmarkar condition
摘要：
通过对Karmarkar嵌入条件的分析，得到了球对称时空的一个新的各向异性解。为此，我们构造了一个适当形式的引力势，以获得封闭形式的解决方案。这种形式的剩余引力势允许我们求解嵌入方程和积分场方程。由此产生的新的各向异性的解决方案是良好的，可以用来构建现实的静态流体球。此外，我们估计的质量和半径的流体球LMC X-4和EXO 1785-248使用观测数据集的值。得到的质量和半径表明，我们的各向异性解决方案可以代表流体球，以一个非常好的精度。
英文摘要：
We obtain a new anisotropic solution for spherically symmetric spacetimes by analysing of the Karmarkar embedding condition. For this purpose we construct a suitable form of one of the gravitational potentials to obtain a closed form solution. This form of the remaining gravitational potential allows us to solve the embedding equation and integrate the field equations. The resulting new anisotropic solution is well behaved which can be utilized to construct realistic static fluid spheres. Also we estimated masses and radii of fluid spheres for LMC X-4 and EXO 1785-248 by using observational data sets values. The obtained masses and radii show that our anisotropic solution can represent fluid spheres to a very good degree of accuracy.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
