Relativistic stellar model admitting a quadratic equation of state
arXiv:1307.1439 · doi:10.1142/S0218271813500740
Abstract
A class of solutions describing the interior of a static spherically symmetric compact anisotropic star is reported. The analytic solution has been obtained by utilizing the Finch and Skea ({\it Class. Quant. Grav.} {\bf 6} (1989) 467) ansatz for the metric potential which has a clear geometric interpretation for the associated background space-time. Based on physical grounds appropriate bounds on the model parameters have been obtained and it has been shown that the model admits an equation of state (EOS) which is quadratic in nature.
arXiv commentAccepted for publication in Int. J. Mod. Phys. D
References in corpus (18)
- Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations
- Anisotropic Stars in General Relativity
- Maximum bounds on the surface redshift of anisotropic stars
- 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
- Anisotropic Stars II : Stability
- Strange stars in Krori-Barua space-time
- Regular models with quadratic equation of state
- The importance of anisotropy for relativistic fluids with spherical symmetry
- Cosmo-dynamics and dark energy with non-linear equation of state: a quadratic model
- The role of pressure anisotropy on the maximum mass of cold compact stars
- Maximum Mass-Radius Ratios for Charged Compact General Relativistic Objects
- Anisotropic relativistic stellar models
- Maximum mass of a cold compact star
- New anisotropic models from isotropic solutions
- Dark Energy and the Statistical Study of the Observed Image Separations of the Multiply Imaged Systems in the CLASS Statistical Sample
- Equation of State and Collective Dynamics
Cited by in corpus (33)
- Anisotropic fluid spheres of embedding class one using Karmarkar condition
- Compact stars with quadratic equation of state
- Charged compact star in gravity in Tolman-Kuchowicz spacetime
- Stable and self-consistent compact star models in teleparallel gravity
- Viable and Stable Compact Stars in Theory
- Stellar models with like--Tolman IV complexity factor
- Anisotropic stars for spherically symmetric spacetimes satisfying the Karmarkar condition
- Cracking of general relativistic anisotropic polytropes
- Gravitational cracking and complexity in the framework of gravitational decoupling
- A family of Finch and Skea relativistic stars
- A generalized Finch-Skea class one static solution
- Finch-Skea star model in f(R, T ) theory of gravity
- All static spherically symmetric anisotropic solutions for general relativistic polytropes
- A New Anisotropic Compact Star Model having Matese \& Whitman Mass Function
- Relativistic Polytropic Models of Charged Anisotropic Compact Object
- Anisotropic Compacts Stars on Paraboloidal Spacetime with Linear Equation of State
- Compact Objects admitting Finch-Skea Symmetry in Gravity
- Gravitational Cracking of General Relativistic Polytropes: a generalized scheme
- Charged compact stellar model in Finch-Skea spacetime
- Compact stellar model in presence of pressure anisotropy in modified Finch Skea spacetime
- Double relativistic master polytrope for anisotropic matter
- A new class of solutions of anisotropic charged distributions on pseudo-spheroidal spacetime
- New charged anisotropic solution on paraboloidal spacetime
- Herrera Complexity and Shadows of Spherically Symmetric Compact Objects
- Compact stars on pseudo-spheroidal spacetime compatible with observational data
- Charged Anisotropic Star on Paraboloidal Spacetime
- Analytical Stellar Models of Neutron Stars in Teleparallel Gravity
- Distinct Classes of Compact Stars Based On Geometrically Deduced Equations of State
- Anisotropic Approach: Compact star as generalized Model
- Anisotropic Compact Star Model on Finch-Skea Spacetime
- Compact stellar model in higher torsion gravitational theory
- A New Class of Analytical Solutions Describing Anisotropic Neutron Stars in General Relativity
- Charged Gravastar Solutions in the Finch-Skea Framework with f(\mathbb{Q}) Gravity