Two-Component Dust in Spherically Symmetric Motion
Gernot Haager
TL;DR
This paper introduces a generalized model of spherically symmetric, inhomogeneous dust with two components, extending the Tolman-Bondi solution, and explores its properties, special solutions, and matching conditions.
Contribution
It presents a new two-component dust model generalizing Tolman-Bondi solutions, including analysis of symmetries and matching to known solutions.
Findings
Formulation of field equations for the two-component dust model
Identification of special solutions with additional symmetries
Conditions for matching to Tolman-Bondi solutions
Abstract
Two components of spherically symmetric, inhomogeneous dust penetrating each other are introduced as a generalization of the well-known Tolman-Bondi dust solution. The field equations of this model are formulated and general properties are discussed. inhomogeneous Special solutions with additional symmetries - an extra Killing- or homothetic vector - and their matching to the corresponding Tolman-Bondi solution are investigated.
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