TL;DR
This paper introduces a modified approach to modeling shear-free anisotropic fluids using a mass function-based framework, deriving new solutions and classical results, including charged, conformally flat, and uniform density cases.
Contribution
It presents a novel method for analyzing anisotropic fluids via a master potential and explores a wide range of solutions, including those with linear pressure relations.
Findings
Derived all charged anisotropic solutions.
Found all conformally flat solutions.
Identified solutions with linear pressure equations.
Abstract
The fluid models mentioned in the title are studied in a modified approach, based on two formulas for the mass function. 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 as particular cases. All charged anisotropic solutions, all conformally flat and all uniform density solutions are found. A large class of solutions with linear equation among the two pressures is derived, including the case of vanishing tangential pressure. The mechanism responsible for the appearance of equation of state is elucidated.
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