Hybrid compact stars model in Rastall gravity: a comparative study
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ORIGINAL ARTICLE
Hybrid compact stars model in Rastall gravity: a comparative study M.R. Shahzad1 · G. Abbas1
Received: 11 June 2020 / Accepted: 27 August 2020 / Published online: 1 September 2020 © Springer Nature B.V. 2020
Abstract The purpose of present work is to provide a new mathematical model for hybrid compact stars composed of strange quark matter (SQM) and normal baryonic matter distribution in the modified Rastall theory of gravitation. The simplest form of phenomenological MIT bag model equation of state (Pq = 13 (ρq − 4Bg )) has been used to correlate the density and pressure of strange quark matter in the stellar interior, whereas radial pressure and density are associated by the simple linear equation of state (pr = mρ) for normal matter distribution. In order to attain the solution of field equation, we used the static and spherically symmetric Krori and Barua (KB) type geometry and then arising arbitrary constants are obtained from some physical conditions. It has been manifested that for reasonable choice of the Rastall coupling parameter (i.e., χ = 0), the original results in the counterpart General Relativity (GR) can be reobtained. We examined the obtained model graphically and analytically in detail for physically plausible conditions and compare with the observational facts and counterpart GR. For the investigation of obtained results, we incorporate three different compact stars namely, HerX − 1, SAXJ 1808 − 3658(SSI) and 4U 1820 − 30 with radii 7.7 km, 7.07 km, and 10 km, respectively as strange quark star candidates. In order to check the validity of present model, we perform various physical tests analytically and graphically, namely, stability test, energy conditions, compactification and Buchdahl condition, dynamical equilibrium of applied forces and surface redshift etc. We found that our model meets necessary physical requirements for realistic model and more consonant with the
B G. Abbas
[email protected] M.R. Shahzad [email protected]
1
Department of Mathematics The Islamia University of Bahawalpur, Bahawalpur, Pakistan
observational facts as compared to the counterpart GR which deviates from essential physical requirements for HerX − 1. Therefore our model is more realistic and can be studied for strange quark stars. Keywords Compact stars · Strange quark matter · Stability · Rastall theory of gravity
1 Introduction Observational information of compact stellar objects like pulsars, neutron stars and black holes, etc. have attained the considerable attention of research community to obtain the analytical models for celestial compact objects which are harmonious with the observational evidences, during the past few decades due to their potential applications to understand the differen physical phenomena related to their internal and external structures. The usual classical explanation of such celestial objects regarding the non-relativistic Newtonian fluid is incompetent, as the matter contained in these objects featured with the ultra-high densities. Therefore, th
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