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18 - Beyond relativity

Published online by Cambridge University Press:  05 June 2012

Jayant V. Narlikar
Affiliation:
Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India
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Summary

We have come to the end of our account of the theories of relativity: special and general. While the former was briefly reviewed in the first chapter, we spent 16 chapters presenting the general theory from scratch. After preparing the background of vectors and tensors in the curved spacetime, we introduced the notions of parallel propagation, covariant differentiation, spacetime curvature and symmetries of motion. We then introduced physics through the notions of the action principle and energy-momentum tensors.

This was the appropriate stage to introduce the basics of general relativity: the principle of equivalence, Einstein's field equations and their Newtonian limit. Following these notions, we introduced the Schwarzschild solution and the various tests of general relativity, largely within the Solar System. We also discussed the budding field of gravitational radiation and the attempts to detect it coming from cosmic sources. Our next topic was relativistic astrophysics, which deals with compact massive objects such as supermassive stars and black holes. We also briefly touched upon the very interesting topic of gravitational lensing. This was followed by a discussion of some highlights of relativistic cosmology.

This presentation is indicative of the scope of general relativity. While it has created a niche for itself in theoretical physics as a remarkable intellectual exercise, it has also justified its status as the most effective physical theory of gravitation by explaining and predicting several gravitational phenomena.

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Publisher: Cambridge University Press
Print publication year: 2010

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  • Beyond relativity
  • Jayant V. Narlikar, Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India
  • Book: An Introduction to Relativity
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511801341.019
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  • Beyond relativity
  • Jayant V. Narlikar, Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India
  • Book: An Introduction to Relativity
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511801341.019
Available formats
×

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.

  • Beyond relativity
  • Jayant V. Narlikar, Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India
  • Book: An Introduction to Relativity
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511801341.019
Available formats
×