Singh Ksh Newton, Bhar Piyali, Laishram Modhuchandra, Rahaman Farook
Department of Physics, National Defence Academy, Khadakwasla, Pune-411023, India.
Faculty Council of Science, Jadavpur University, Kolkata 700032, India.
Heliyon. 2019 Aug 8;5(8):e01929. doi: 10.1016/j.heliyon.2019.e01929. eCollection 2019 Aug.
In literature, there are three simplest methods of solving Einstein's field equations, namely, (a) assuming conformally flat spacetime, (b) using conformal killing vector and (c) using Karmarkar conditions. In all these approaches the two metric functions and are link via a bridge. However, the first two approaches are facing a critical failure while determining central red-shift while the last method always yields well-behaved solution. Therefore, we are adopting the last method and discover a generalized class one solution. It is found that the maximum mass and radius of the compact star describe by the solution strongly depends on the parameter . As increases the maximum mass and radius also increases. For , and , and for have with . For the equation of state is behaving linearly as the speed of sound is almost constant at 0.333. In overall the presented solution is well-behaved in all respects.
在文献中，有三种求解爱因斯坦场方程的最简单方法，即：(a) 假设时空是共形平坦的，(b) 使用共形 Killing 向量，以及 (c) 使用卡尔马卡尔条件。在所有这些方法中，两个度规函数 通过一座桥梁联系起来。然而，前两种方法在确定中心红移时面临严重失败，而最后一种方法总是能得出表现良好的解。因此，我们采用最后一种方法并发现了一类广义解。结果发现，该解所描述的致密星的最大质量和半径强烈依赖于参数 。随着 的增加，最大质量和半径也增加。对于 ， 以及 ，对于 有 以及 。对于 ，状态方程呈线性，因为声速几乎恒定在 0.333。总体而言，所给出的解在各方面都表现良好。
