https://doi.org/10.1140/epjc/s10052-017-5293-8
Regular Article - Theoretical Physics
Spherical conformal models for compact stars
Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag 54001, Durban, 4000, South Africa
* e-mail: maharaj@ukzn.ac.za
Received:
22
September
2017
Accepted:
9
October
2017
Published online:
26
October
2017
We consider spherical exact models for compact stars with anisotropic pressures and a conformal symmetry. The conformal symmetry condition generates an integral relationship between the gravitational potentials. We solve this condition to find a new anisotropic solution to the Einstein field equations. We demonstrate that the exact solution produces a relativistic model of a compact star. The model generates stellar radii and masses consistent with PSR J1614-2230, Vela X1, PSR J1903+327 and Cen X-3. A detailed physical examination shows that the model is regular, well behaved and stable. The mass–radius limit and the surface red shift are consistent with observational constraints.
© The Author(s), 2017
