https://doi.org/10.1140/epjc/s10052-017-4916-4
Regular Article - Theoretical Physics
Generating physically realizable stellar structures via embedding
1
Department of Mathematical and Physical Sciences, College of Arts and Science, University of Nizwa, Nizwa, Sultanate of Oman
2
Department of Mathematics, Faculty of Applied Sciences, Durban University of Technology, Durban, South Africa
* e-mail: sunil@unizwa.edu.om
Received:
7
March
2017
Accepted:
12
May
2017
Published online:
24
May
2017
In this work we present an exact solution of the Einstein–Maxwell field equations describing compact charged objects within the framework of classical general relativity. Our model is constructed by embedding a four-dimensional spherically symmetric static metric into a five-dimensional flat metric. The source term for the matter field is composed of a perfect fluid distribution with charge. We show that our model obeys all the physical requirements and stability conditions necessary for a realistic stellar model. Our theoretical model approximates observations of neutron stars and pulsars to a very good degree of accuracy.
© The Author(s), 2017