Comprehensive list of cosmological models and their properties?

In summary, the conversation discusses the difficulty of finding a comprehensive list of cosmological models and their properties, including metrics and invariants. The recommended resources for further information are a paper by Bicak and the book "Exact Solutions of Einstein's Field equations" by Stephani et al. Additionally, it is suggested to use GrTensor or Maxima to calculate the metrics oneself.
  • #1
tom.stoer
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Does anybody know about a comprehensive list of cosmological models and their properties? E.g. FRW, dS, AdS, ... Goedelspacetime, ... with metrics g, Christoffel symbols, Riemann tensors, Ricci, Ricci scalar, Kretschmann scalar, ...

Tom
 
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  • #2
That's a big ask. I've never seen a book or paper that lists all that stuff for every metric. The comparison papers which summarize models tend to focus on symmetries and invariants. There's a good slice of that in this paper arXiv:gr-qc/0004016v1 (Bicak) and in 'the book', "Exact Solutions of Einstein's Field equations", Stephani et al (2nd edition).

You could get GrTensor or Maxima and calculate them yourself from the metrics.
 
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What is the purpose of a comprehensive list of cosmological models and their properties?

A comprehensive list of cosmological models and their properties serves as a reference for scientists and researchers studying the universe and its origins. It allows for comparison and evaluation of different models and their predictions, leading to a deeper understanding of our universe.

What are the main types of cosmological models included in a comprehensive list?

The main types of cosmological models included in a comprehensive list are the Big Bang model, the Steady State model, and the Inflationary model. These models differ in their assumptions and predictions about the origin and evolution of the universe.

How are the properties of cosmological models determined and verified?

The properties of cosmological models are determined through a combination of observational data and theoretical calculations. Scientists use data from telescopes, satellites, and other instruments to test the predictions of different models and determine their validity.

What are some common properties of cosmological models?

Some common properties of cosmological models include the age of the universe, the expansion rate of the universe, the distribution of matter and energy, and the presence of dark matter and dark energy. These properties are essential in understanding the structure and evolution of the universe.

How do cosmological models contribute to our understanding of the universe?

Cosmological models provide a framework for understanding the universe and its origins. By studying and comparing different models, scientists can gain insights into the fundamental laws of physics and the nature of the universe. These models also help us make predictions about the future of the universe and its ultimate fate.

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