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We saw in Chap. 12 that the field equations of general relativity are non-linear, coupled differential equations, which can be solved analytically only in special cases. At the same time, we know that our universe is an extremely complicated entity. In this chapter we discuss and justify simplifying assumptions about the structure of the universe that make a mathematical treatment possible in the first place. The outcome of these considerations is the Friedmann-Lemaître-Robertson-Walker metric.

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The Cosmological Principle and Its Implication for the Metric of the Universe

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  • 发表日期：

    2026年

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  • Sebastian Boblest,
  • Thomas Müller,
  • Günter Wunner

摘要

We saw in Chap. 12 that the field equations of general relativity are non-linear, coupled differential equations, which can be solved analytically only in special cases. At the same time, we know that our universe is an extremely complicated entity. In this chapter we discuss and justify simplifying assumptions about the structure of the universe that make a mathematical treatment possible in the first place. The outcome of these considerations is the Friedmann-Lemaître-Robertson-Walker metric.