A generalized class one static solution

Heliyon

Piyali Bhar¹  Farook Rahaman²  Modhuchandra Laishram³  Ksh. Newton Singh⁴ 

[1] Faculty Council of Science, Jadavpur University, Kolkata 700032, India;CAS Key Laboratory of Geospace Environment and Department of Engineering and Applied Physics, University of Science and Technology of China, Hefei 230026, China;Department of Mathematics, Government General Degree College, Singur, Hooghly 712409, West Bengal, India;Department of Physics, National Defence Academy, Khadakwasla, Pune-411023, India;

关键词: Astrophysics;    Karmarkar conditions;    Compact star;   

DOI  :  

来源: DOAJ

【 摘 要 】

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 gtt and grr 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 n. As n increases the maximum mass and radius also increases. For n=3.3, Mmax=1.459M⊙ and Rmax=9.52 km, and for n=4.8 have Mmax=1.766M⊙ with Rmax=10.31 km. For n=4.8 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.

【 授权许可】

Unknown