https://doi.org/10.1140/epja/i2019-12767-5
Regular Article - Theoretical Physics
A new parametric class of exact solutions of EFEs under the Karmarkar condition for anisotropic fluids
1
Department of Mathematics, National Defence Academy, 411023, Khadakwasla, Pune, India
2
Department of Mathematics, DSB Campus, Kumaun University, 263001, Nainital, India
* e-mail: pant_rp@rediffmail.com
Received:
31
March
2019
Accepted:
2
May
2019
Published online:
19
June
2019
In this paper, we explore a new parametric class of exact solutions of the Einstein field equations (EFEs) under the Karmarkar condition for anisotropic fluids. The solutions are verified by examining different physical aspects, viz. static stability criterion, energy conditions, stability factor, adiabatic index, causality condition, in connection to their cogency. Due to the well behaved nature of the solutions for different n values, we develop models of objects with different masses and radii, such as PSR J1614-2230, Cen X-1, Her X-1, Vela X-1, LMC X-4 and SMC X-4 and discuss the behavior with a graphical representation of the class of solutions of the first three objects extensively.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019
