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An Elementary Introduction to the Gauge Theory Approach to Gravity

  • N. Mukunda
Part of the Fundamental Theories of Physics book series (FTPH, volume 29)

Abstract

The physical basis for the passage from special to general relativity has been explained in Chapter 1 by P. C. Vaidya. One ends up with a generally covariant theory of gravitation. Spacetime is viewed as a pseudo-Riemannian manifold carrying a distinguished second rank symmetric covariant tensor, the metric field. This brings along with it the notions of the Christoffel connection, and covariant derivatives of tensor fields of various ranks; and based on the principle of equivalence, one has a minimal way in which any special relativistic (field) theory (not involving spinors) can be extended to include coupling to gravitation. Finally, one has an action for the gravitational field itself, namely the Hilbert-Einstein expression.

Keywords

Gauge Theory Spin Connection Gauge Potential General Coordinate Transformation Poincare Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • N. Mukunda
    • 1
  1. 1.Centre for Theoretical StudiesIndian Institute of ScienceBangaloreIndia

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