The spacetime of general relativity and paths of particles
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.
KeywordsCovariant Derivative Special Relativity Free Particle Tensor Field Parallel Transport
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