Self-gravitating spheres of anisotropic fluid in geodesic flow

Abstract

The fluid models mentioned in the title are classified. All characteristics of the fluid are expressed through a master potential, satisfying an ordinary second order differential equation. Different constraints are imposed on this core of relations, finding new solutions and deriving the classical results for perfect fluids and dust as particular cases. Many uncharged and charged anisotropic solutions, all conformally flat and some uniform density solutions are found. A number of solutions with linear equation among the two pressures are derived, including the case of vanishing tangential pressure.

21 pages

References in corpus (4)

• Shearing Expansion-free Spherical Anisotropic Fluid Evolution
• Lemaitre-Tolman-Bondi dust spacetimes: Symmetry properties and some extensions to the dissipative case
• Effects of Electromagnetic Field on Gravitational Collapse
• Thermal Behaviour of Euclidean Stars

Cited by in corpus (7)

• Non-radial oscillations of anisotropic neutron stars in the Cowling approximation
• Collapsing shear-free perfect fluid spheres with heat flow
• All solutions for geodesic anisotropic spherical collapse with shear and heat radiation
• Modelling anisotropic fluid spheres in general relativity
• Dynamics of Charged Bulk Viscous Collapsing Cylindrical Source With Heat Flux
• Influence of Electromagnetic Field on Hyperbolically Symmetric Source
• Gravitational collapse of anisotropic stars