A generalized class one static solution. Issue 8 (August 2019)

• Record Type: Journal Article
• Authors: Singh, Ksh. Newton; Bhar, Piyali; Laishram, Modhuchandra; Rahaman, Farook
• Is Part Of: Heliyon. Volume 5:Issue 8(2019)
• Publication Date: 2019-08
• Subjects: Astrophysics -- Karmarkar conditions -- Compact star; Research -- Periodicals; Medical sciences -- Periodicals; Natural history -- Periodicals; Social sciences -- Periodicals; Earth sciences -- Periodicals; Physical sciences -- Periodicals; 507.2
• DOI: 10.1016/j.heliyon.2019.e01929
• Languages: English
• ISSNs: 2405-8440

Abstract

Abstract: 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 g t t and g r r 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, M m a x = 1.459 M ⊙ and R m a x = 9.52 km, and for n = 4.8 have M m a x = 1.766 M ⊙ with R m a x = 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.