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The General Theory of Relativity - A Mathematical Approach (Hardcover, New Ed)
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The General Theory of Relativity - A Mathematical Approach (Hardcover, New Ed)
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The book aims to expound the general theory of relativity with a
mathematical point of view. Catering to the needs of postgraduate
students and researchers in the field of astrophysics and
mathematical physics, it offers the readers a comprehensive
understanding of the advanced topics of the subject matter. It
specifically discusses the mathematical foundation of tensor
calculus, gives a background of geodesics, Einstein's field
equations, linearised gravity, spacetime of spherically symmetric
distribution of matter and black holes, and particle and photon
orbits in spacetime. Apart from the formulation of general
relativity, Lie derivatives and its applications, and causality of
spacetime are also discussed in detail. Certain preliminary
concepts of extrinsic curvature, Lagrangian formalism of general
theory of relativity and 3 + 1 decomposition of space-time are
covered and are provided in the book as appendices.
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