Curvilinear Coordinates and General Tensors

We devote this chapter to the development of four-dimensional geometry in arbitrary curvilinear coordinates. We shall deal with field quantities. A field quantity has the same nature at all points of space. Such a quantity will be disturbed by the curvature.


Covariant Derivative Curvature Tensor Curve Space Geodesic Equation Riemann Tensor 
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  1. Dirac PAM (1975) General Theory of Relativity. (John Wiley & Sons, New York)Google Scholar
  2. Landau LD, Lifshitz EM (1975) The Classical Theory of Fields. (Pergamon Press, Oxford UK)Google Scholar

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