Anisotropic relativistic stellar models

Abstract

We present a class of exact solutions of Einstein's gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solutions are obtained by assuming a particular form of the anisotropy factor. The energy density and both radial and tangential pressures are finite and positive inside the anisotropic star. Numerical results show that the basic physical parameters (mass and radius) of the model can describe realistic astrophysical objects like neutron stars.

10 pages, 5 figures

Cited by in corpus (40)

• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Spherically symmetric dissipative anisotropic fluids: A general study
• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• Charged anisotropic matter with linear or nonlinear equation of state
• Anisotropic Compact stars in the Buchdahl model: A comprehensive study
• Gravastar Solutions with Continuous Pressures and Equation of State
• Charged anisotropic models for quark stars
• Relativistic stellar model admitting a quadratic equation of state
• Analytical study of anisotropic compact star models
• Anisotropic geodesic fluid spheres in general relativity
• Anisotropic strange stars in Tolman-Kuchowicz spacetime
• Gravitational Decoupled Anisotropic Solutions in $f(\mathcal{G})$ Gravity
• Quark star model with charged anisotropic matter
• Shear-free and homology conditions for self-gravitating dissipative fluids
• Exact power series solutions of the structure equations of the general relativistic isotropic fluid stars with linear barotropic and polytropic equations of state
• Effects of Non-minimal Matter-geometry Coupling on Embedding Class-one Anisotropic Solutions
• Simple Black Holes with Anisotropic Fluid
• An analytical anisotropic compact stellar model of embedding class I
• Anisotropic pressure and hyperons in neutron stars
• Study of Charged Compact Stars in Non-minimally Coupled Gravity
• Traversable wormholes in the traceless $f(R,T)$ gravity
• Anisotropic Compact Star Model Satisfying Karmarkar Conditions
• Quark stars and quantum-magnetically induced collapse
• Compact Objects by Gravitational Decoupling in f(R) Gravity
• The covariant Tolman-Oppenheimer-Volkoff equations I: The isotropic case
• Collapse of a relativistic self-gravitating star with radial heat flux: Impact of anisotropic stresses
• On magnetized anisotropic stars
• Modeling anisotropic magnetized White Dwarfs with $\gamma$ metric
• Effective refractive index tensor for weak field gravity
• Relativistic modelling of stable anisotropic super-dense star
• On the Anisotropic Interior Solutions in Hořava Gravity and Einstein-æther Theory
• New bound of the mass-to-radius ratio for electrically charged stars
• Anisotropic fluid spheres in Hořava gravity and Einstein-æther theory with a non-static æther
• Relativistic polytropic equations of state in Hořava gravity and Einstein-æther theory
• Cylinder with Charged Anisotropic Source
• Anisotropic Stars in the Non-minimal $Y(R)F^2$ Gravity
• Gravitational collapse without a remnant
• Algorithms for Generating All Static Spherically Symmetric (An)isotropic Fluid Solutions of Einstein's Equations
• Self-Gravitating Relativistic Models of Fermions with Anisotropy and Cutoff Energy in their Distribution Function
• Generating Spherically Symmetric Static Anisotropic Fluid Solutions of Einstein's Equations from Hydrostatic Equilibrium