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100 years of mathematical cosmology: Models, theories and problems, Part B
Spiros Cotsakis1,2, Alexander P Yefremov1
1Institute of Gravitation and Cosmology, RUDN University, ul. Miklukho-Maklaya 6, Moscow 117198, Russia.
Summary
This paper surveys the third and fourth periods of mathematical cosmology, detailing key theories like inflation, multiverse, and dark energy. It highlights foundational concepts and advanced topics shaping theoretical cosmology.
Area of Science:
- Cosmology
- Theoretical Physics
- Mathematical Physics
Background:
- This is the second part of a survey on mathematical cosmology.
- It covers the third (1980-2000) and fourth (2000-present) periods of the subject's development.
Purpose of the Study:
- To provide an overview of significant developments in mathematical cosmology.
- To highlight key theoretical concepts and their evolution.
- To contextualize current research within the history of the field.
Main Methods:
- Literature review and synthesis of major cosmological theories.
- Descriptive analysis of concepts such as inflation, multiverse, and dark energy.
- Identification of recurring themes and their importance in theoretical cosmology.
Main Results:
- Detailed descriptions of inflation, multiverse, quantum, Kaluza-Klein, and string cosmologies.
- Exploration of advanced topics including M-theoretic cosmology, braneworlds, and the measure problem.
- Emphasis on the interconnectedness of ideas throughout cosmological research.
Conclusions:
- The survey outlines the progression of mathematical cosmology through its recent historical periods.
- Key theoretical threads are identified, underscoring their foundational role.
- The article serves as a guide to the 'future of mathematical cosmology' theme issue.
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