Model of hybrid star with baryonic and strange quark matter in Tolman-Kuchowicz spacetime

Abstract

The purpose of our present work is to investigate some new features of a static anisotropic relativistic hybrid compact star composed of strange quark matter (SQM) in the inner core and normal baryonic matter distribution in the crust. Here we apply the simplest form of the phenomenological MIT bag model equation of state $p_q=\frac{1}{3}({\rho }_q-4B_g)$ to correlate the density and pressure of strange quark matter within the stellar interior, whereas radial pressure and matter density due to baryonic matter are connected by the simple linear equation of state $p_r=\alpha \rho -\beta$. In order to obtain the solution of the Einstein field equations, we have used the Tolman-Kuchowicz {\em ansatz} [Tolman, Phys Rev 55:364, 1939; Kuchowicz, Acta Phys Pol 33:541, 1968] and further derivation of the arbitrary constants from some physical conditions. Here, we examine our proposed model graphically and analytically in detail for physically plausible conditions. In particular, for this investigation, we have reported on the compact object Her $X-1$ [Mass=$(0.98\pm 0.12)M_{\odot }$; Radius= $8.1_{-0.41}^{+0.41}$ km] in our paper as a strange quark star candidate. In order to check the physical validity and stability of our suggested model, we have performed various physical tests both analytically and graphically, namely, dynamical equilibrium of applied forces, energy conditions, compactness factor, and surface redshift etc. Finally, we have found that our present model meets all the necessary physical requirements for a realistic model and can be studied for strange quark stars (SQS).

29 pages, 11 figures, 4 tables ; Accepted in the International Journal of Geometric Methods in Modern Physics (IJGMMP) on 22.02.2022

References in corpus (21)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• The Strange Star Surface: A Crust with Nuggets
• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• A comparison of Hořava-Lifshitz gravity and Einstein gravity through thin-shell wormhole construction
• Charged compact star in $f(R,T)$ gravity in Tolman-Kuchowicz spacetime
• Stability of CFL cores in Hybrid Stars
• Strange quark matter fragmentation in astrophysical events
• Spherically symmetric black holes with electric and magnetic charge in extended gravity: Physical properties, causal structure, and stability analysis in Einstein's and Jordan's frames
• An effective model for the QCD phase transitions at finite baryon density
• Relativistic strange stars in Tolman-Kuchowicz spacetime
• Generalized teleparallel cosmology and initial singularity crossing
• Stability of magnetized strange quark matter in the MIT bag model with the density dependent bag pressure
• Massive hybrid stars with a first order phase transition
• Schwarzschild solution in extended teleparallel gravity
• Properties of High-Density Matter in Neutron Stars
• Hybrid neutron stars with the Dyson-Schwinger quark model and various quark-gluon vertices
• Quark matter as dark matter in modeling galactic halo
• Maximum Mass of Hybrid Stars in the Quark Bag Model

Cited by in corpus (4)

• Non-singular anisotropic solutions for strange star model in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\zeta \gamma }{\mathcal{T}}^{\zeta \gamma })$ gravity theory
• Estimating the Role of Bag Constant and Modified Theory on Anisotropic Stellar Models
• Anisotropic Stellar Models with Tolman IV Spacetime in Non-minimally Coupled Theory
• Celestial attributes of Hybrid star in $5\mathcal{D}$ Einstein-Gauss-Bonnet gravity