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General Relativity - A Geometric Approach (Hardcover)
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General Relativity - A Geometric Approach (Hardcover)
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Starting with the idea of an event and finishing with a description
of the standard big-bang model of the Universe, this textbook
provides a clear, concise and up-to-date introduction to the theory
of general relativity, suitable for final-year undergraduate
mathematics or physics students. Throughout, the emphasis is on the
geometric structure of spacetime, rather than the traditional
coordinate-dependent approach. This allows the theory to be pared
down and presented in its simplest and most elegant form. Topics
covered include flat spacetime (special relativity), Maxwell
fields, the energy-momentum tensor, spacetime curvature and
gravity, Schwarzschild and Kerr spacetimes, black holes and
singularities, and cosmology. In developing the theory, all
physical assumptions are clearly spelled out and the necessary
mathematics is developed along with the physics. Exercises are
provided at the end of each chapter and key ideas in the text are
illustrated with worked examples. Solutions and hints to selected
problems are also provided at the end of the book. This textbook
will enable the student to develop a sound understanding of the
theory of general relativity, and all the necessary mathematical
machinery.
General
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