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26 - Einstein's Universe

The geometry of cosmology

Published online by Cambridge University Press:  05 June 2012

Bernard Schutz
Affiliation:
Max-Planck-Institut für Gravitationsphysik, Germany
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Summary

In the last two chapters we have made a lot of progress in exploring the future and past of the Universe, basically just by using local Newtonian gravity. We argued that the dynamics of an expanding, homogeneous and isotropic cosmology can be calculated from Newtonian gravity, at least if the pressure in the Universe is negligible, because all we need to look at is the local Universe, the part nearest us. The assumption that the Universe is homogeneous guarantees that the rest of the Universe will behave the same as our local region.

In this chapter: we explore the three different geometries that a homogeneous and isotropic cosmology can assume. We see how to construct two-dimensional versions of these, which shows us why there are only three possibilities. We see how astronomical observations can measure this geometry directly.

  1. ▷ The drawing under the text on this page illustrates how complicated three-dimensional solid objects could be. Why is the Universe apparently so simple?

But this line of reasoning has its limitations. Even if we calculate the dynamics of the Universe this way, we don't learn what the distant parts of the Universe will look like in our telescopes. The curvature of space, which is not part of a Newtonian discussion, will affect the paths of photons as they move through the Universe. Moreover, if we want to ask deeper questions about the Universe, such as those we pose in the next chapter, then we should know something more about its the larger-scale structure.

Type
Chapter
Information
Gravity from the Ground Up
An Introductory Guide to Gravity and General Relativity
, pp. 383 - 390
Publisher: Cambridge University Press
Print publication year: 2003

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  • Einstein's Universe
  • Bernard Schutz, Max-Planck-Institut für Gravitationsphysik, Germany
  • Book: Gravity from the Ground Up
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511807800.028
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  • Einstein's Universe
  • Bernard Schutz, Max-Planck-Institut für Gravitationsphysik, Germany
  • Book: Gravity from the Ground Up
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511807800.028
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Einstein's Universe
  • Bernard Schutz, Max-Planck-Institut für Gravitationsphysik, Germany
  • Book: Gravity from the Ground Up
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511807800.028
Available formats
×