Anisotropic strange stars in Tolman-Kuchowicz spacetime

Abstract

We attempt to study a singularity-free model for the spherically symmetric anisotropic strange stars under Einstein's general theory of relativity by exploiting the Tolman-Kuchowicz metric. Further, we have assumed that the cosmological constant $\Lambda$ is a scalar variable dependent on the spatial coordinate $r$. To describe the strange star candidates we have considered that they are made of strange quark matter (SQM) distribution, which is assumed to be governed by the MIT bag equation of state. To obtain unknown constants of the stellar system we match the interior Tolman-Kuchowicz metric to the exterior modified Schwarzschild metric with the cosmological constant, at the surface of the system. Following Deb et al. we have predicted the exact values of the radii for different strange star candidates based on the observed values of the masses of the stellar objects and the chosen parametric values of the $\Lambda$ as well as the bag constant $\mathcal{B}$. The set of solutions satisfies all the physical requirements to represent strange stars. Interestingly, our study reveals that as the values of the $\Lambda$ and $\mathcal{B}$ increase the anisotropic system becomes gradually smaller in size turning the whole system into a more compact ultra-dense stellar object.

18 pages, 10 figures

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• Relativistic Anisotropic Fluid Spheres Satisfying a Non-Linear Equation of State
• Dark Energy Stars in Tolman-Kuchowicz spacetime in the context of Einstein Gravity
• Relativistic strange stars in Tolman-Kuchowicz spacetime
• Compact star in Tolman Kuchowicz spacetime in background of Einstein Gauss Bonnet gravity
• Stellar Structures in $f(\mathcal{G})$ Gravity with Tolman-Kuchowicz Spacetime
• Probing the minimal geometric deformation with trace and Weyl anomalies
• MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy
• Durgapal IV model in light of the minimal geometric deformation approach
• Impact of Tolman-Kuchowicz Potentials on Gauss-Bonnet Gravity and Isotropic Stellar Structures
• Model of hybrid star with baryonic and strange quark matter in Tolman-Kuchowicz spacetime
• Gravitational Lensing in Kerr-Newman Anti de Sitter Spacetime
• Kuchowicz gravastars in the braneworld formalism
• Influence of strong magnetic field on the structure properties of strange quark stars
• New anisotropic star solutions in mimetic gravity
• Relativistic compact stars in Tolman spacetime via an anisotropic approach
• Nonlinear evolution of anisotropic matter configurations under higher-order curvature corrections