EAN: 9783030284152

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This book provides an introduction to the mathematics and physics of general relativity  its
basic physical concepts  its observational implications  and the new insights obtained into the
nature of space-time and the structure of the universe. It introduces some of the most striking
aspects of Einstein's theory of gravitation: black holes  gravitational waves  stellar models 
and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian
geometry  using in parallel the language of modern differential geometry and the coordinate
notation  more familiar to physicists. The author has strived to achieve mathematical rigour 
with all notions given careful mathematical meaning  while trying to maintain the formalism to
the minimum fit-for-purpose. Familiarity with special relativity is assumed. The overall aim is
to convey some of the main physical and geometrical properties of Einstein's theory of
gravitation  providing a solid entry point to further studies of the mathematics and physics of
Einstein equations.

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