Self-similar perfect fluids
J. Carot, A.M. Sintes
TL;DR
This paper investigates space-times with multiple homothety symmetries that admit perfect fluid solutions to Einstein's equations, focusing on their geometric properties and classification.
Contribution
It provides a detailed analysis of space-times with high-dimensional homothety groups that support perfect fluid solutions, expanding understanding of their symmetry structures.
Findings
Classification of space-times with r-parameter homothety groups
Identification of conditions for perfect fluid solutions
Insights into geometric properties of self-similar fluids
Abstract
Space-times admitting an -parameter Lie group of homotheties are studied for devoting a special attention to those representing perfect fluid solutions to Einstein's field equations.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Nonlinear Waves and Solitons