An analytical anisotropic compact stellar model of embedding class I
arXiv:2012.14147 · doi:10.1142/S0217732321500280
Abstract
A class of solutions of Einstein field equations satisfying Karmarkar embedding condition is presented which could describe static, spherical fluid configurations, and could serve as models for compact stars. The fluid under consideration has unequal principal stresses i.e. fluid is locally anisotropic. A certain physically motivated geometry of metric potential has been chosen and codependency of the metric potentials outlines the formation of the model. The exterior spacetime is assumed as described by the exterior Schwarzschild solution. The smooth matching of the interior to the exterior Schwarzschild spacetime metric across the boundary and the condition that radial pressure is zero across the boundary lead us to determine the model parameters. Physical requirements and stability analysis of the model demanded for a physically realistic star are satisfied. The developed model has been investigated graphically by exploring data from some of the known compact objects. The mass-radius (M-R) relationship that shows the maximum mass admissible for observed pulsars for a given surface density has also been investigated. Moreover, the physical profile of the moment of inertia (I) thus obtained from the solutions is confirmed by the Bejger-Haensel concept.
arXiv commentAccepted in Mod. Phys. Lett. A
References in corpus (44)
- A Large Mass Hierarchy from a Small Extra Dimension
- Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
- Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations
- Anisotropic Stars in General Relativity
- Refined Neutron-Star Mass Determinations for Six Eclipsing X-Ray Pulsar Binaries
- Maximum bounds on the surface redshift of anisotropic stars
- All static spherically symmetric anisotropic solutions of Einstein's equations
- Bounds on the basic physical parameters for anisotropic compact general relativistic objects
- Strange Stars with Realistic Quark Vector Interaction and Phenomenological Density-dependent Scalar Potential
- The Distance, Mass, and Radius of the Neutron Star in 4U 1608-52
- On the nature and evolution of the unique binary pulsar J1903+0327
- Strange star equation of state fits the refined mass measurement of 12 pulsars and predicts their radii
- Quark stars admitting a one-parameter group of conformal motions
- All static spherically symmetric perfect fluid solutions of Einstein's Equations
- Charged anisotropic matter with linear or nonlinear equation of state
- Charged anisotropic matter with linear equation of state
- A class of relativistic stars with a linear equation of state
- Sharp bounds on the critical stability radius for relativistic charged spheres
- Anisotropic Stars II : Stability
- Anisotropic models for compact stars
- Moments of inertia for neutron and strange stars: limits derived for the Crab pulsar
- Singularity-free solutions for anisotropic charged fluids with Chaplygin equation of state
- Some charged polytropic models
- Relativistic model for anisotropic strange stars
- Anisotropic Compact stars in the Buchdahl model: A comprehensive study
- Role of pressure anisotropy on relativistic compact stars
- Shearing Expansion-free Spherical Anisotropic Fluid Evolution
- On the Role of Electric Charge and Cosmological Constant in Structure Scalars
- Optical spectroscopy and photometry of SAX J1808.4-3658 in outburst
- A new deterministic model of strange stars
- Anisotropic Quintessence stars
- Anisotropic relativistic stellar models
- Singularity free anisotropic strange quintessence star
- Constraints on the dense matter EOS from the measurements of PSR J0737-3039A moment of inertia and PSR J0751+1807 mass
- Anisotropy in Bianchi-type brane cosmologies
- Equivalence of Darmois-Israel and Distributional-Methods for Thin Shells in General Relativity
- Generating functions of wormholes
- Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: An algorithm
- Generalised compact spheres in electric fields
- Maximum mass and radius of strange stars in the linear approximation of the EOS
- Anisotropic Compact Star Model Satisfying Karmarkar Conditions
- Exact interior solutions in (2 + 1) dimensional spacetime
- Exact solution of anisotropic compact stars via. mass function
- Charged compact stellar model in Finch-Skea spacetime
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- Radial Oscillations of the HESS J1731-347 Compact Object via the Karmarkar Condition in Gravity
- Stellar modeling via the Tolman IV solution: The cases of the massive pulsar J0740+6620 and the HESS J1731-347 compact object
- A New Class of Analytical Solutions Describing Anisotropic Neutron Stars in General Relativity
- Radial oscillations of quark stars in light of current astrophysical constraints: A comparative study