Physico-mathematical foundations of relativistic cosmology
Domingos Soares
TL;DR
This paper reviews the fundamental principles of relativistic cosmology, focusing on General Relativity and the Cosmological Principle, and discusses models like Einstein static universe and Friedmann universes.
Contribution
It provides a concise overview of the foundational concepts and models in relativistic cosmology, highlighting key theoretical frameworks and classical references.
Findings
Analysis of Einstein static universe and Friedmann models
Clarification of the role of the Cosmological Principle
Summary of tensorial foundations in cosmology
Abstract
I briefly present the foundations of relativistic cosmology, which are, General Relativity Theory and the Cosmological Principle. I discuss some relativistic models, namely, "Einstein static universe" and "Friedmann universes". The classical bibliographic references for the relevant tensorial demonstrations are indicated whenever necessary, although the calculations themselves are not shown.
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories · Advanced Mathematical Theories and Applications