Is general relativity generally covariant?

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SUMMARY

General relativity is indeed generally covariant, as it can be expressed in a form that adheres to the principles of general covariance. The discussion emphasizes that even special relativity can be reformulated to fit a generally covariant framework. This highlights the flexibility of physical theories in adapting to the requirements of general covariance, which is a fundamental aspect of general relativity.

PREREQUISITES
  • Understanding of general relativity principles
  • Familiarity with special relativity concepts
  • Knowledge of tensor calculus
  • Basic grasp of differential geometry
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  • Research the mathematical formulation of general covariance
  • Explore the principles of tensor calculus in physics
  • Study the implications of general covariance in various physical theories
  • Learn how to reformulate special relativity in a generally covariant form
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Physicists, students of theoretical physics, and anyone interested in the foundations of general relativity and its mathematical structures.

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Is general relativity REALLY generally covariant?
 
Last edited:
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Almost any theory may be written in a generally covariant form, including special relativity.
 
How would you write special relativity in a generaly covariant form?
 
Ask yourself <What is special relativity?> Then you can find ways to make it generally covariant.
 

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