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The spacetime of general relativity and paths of particles

  • James Foster
  • J. David Nightingale

Abstract

Einstein’s general theory of relativity postulates that gravitational effects may be explained by the curvature of spacetime (modeled by a four-dimensional pseudo-Riemannian manifold) and that gravity should not be regarded as a force in the conventional sense. To get a preliminary idea of what is involved, we shall follow the practice of a number of authors1 and consider ants crawling over a curved surface, namely the skin of an apple.

Keywords

Covariant Derivative Special Relativity Free Particle Tensor Field Parallel Transport 
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

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • James Foster
    • 1
  • J. David Nightingale
    • 2
  1. 1.School of Mathematical SciencesUniversity of SussexFalmer, BrightonUK
  2. 2.Department of Physics, The College at New PaltzState University of New YorkNew PaltzUSA

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