Undergrad Metrics of GR Solutions: Comp List, Hist & Viability

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A comprehensive list of gravitational radiation (GR) solutions, along with their developmental history and viability as practical models for the observable universe, is sought. The discussion highlights the importance of resources like "Exact Solutions of Einstein's Field Equations" by Stephani et al. as a potential starting point for this research. Participants emphasize the need for detailed information on various GR solutions to assess their applicability. The viability of these models is crucial for understanding their relevance in astrophysical contexts. Further contributions and references are encouraged to enhance the knowledge base on this topic.
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Does anyone know of a comprehensive list of solutions to GR, their developmental history, and the viability for serving as a practical model for the observable universe?
 
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