https://doi.org/10.1140/epjc/s10052-016-4503-0
Regular Article - Theoretical Physics
Compact stars in 
gravity
1
Department of Physics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, 711103, India
2
Department of Mathematics, Jadavpur University, Kolkata, West Bengal, 700032, India
3
Department of Physics, Government College of Engineering and Ceramic Technology, Kolkata, West Bengal, 700010, India
* e-mail: saibal@associates.iucaa.in
Received:
31
July
2016
Accepted:
8
November
2016
Published online:
28
November
2016
In the present paper we generate a set of solutions describing the interior of a compact star under theory of gravity which admits conformal motion. An extension of general relativity, the gravity is associated to Ricci scalar R and the trace of the energy-momentum tensor 
. To handle the Einstein field equations in the form of differential equations of second order, first of all we adopt the Lie algebra with conformal Killing vectors (CKV) which enable one to get a solvable form of such equations and second we consider the equation of state (EOS) 
with 
for the fluid distribution consisting of normal matter, 
being the EOS parameter. We therefore analytically explore several physical aspects of the model to represent behavior of the compact stars such as—energy conditions, TOV equation, stability of the system, Buchdahl condition, compactness and redshift. It is checked that the physical validity and the acceptability of the present model within the specified observational constraint in connection to a dozen of the compact star candidates are quite satisfactory.
© The Author(s), 2016
