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This book introduces the general theory of relativity and includes
applications to cosmology. The book provides a thorough
introduction to tensor calculus and curved manifolds. After the
necessary mathematical tools are introduced, the authors offer a
thorough presentation of the theory of relativity. Also included
are some advanced topics not previously covered by textbooks,
including Kaluza-Klein theory, Israel's formalism and branes.
Anisotropic cosmological models are also included. The book
contains a large number of new exercises and examples, each with
separate headings. The reader will benefit from an updated
introduction to general relativity including the most recent
developments in cosmology.
This book consists of contributions from the participants of the
Abel Symposium 2019 held in Alesund, Norway. It was centered about
applications of the ideas of symmetry and invariance, including
equivalence and deformation theory of geometric structures,
classification of differential invariants and invariant
differential operators, integrability analysis of equations of
mathematical physics, progress in parabolic geometry and
mathematical aspects of general relativity. The chapters are
written by leading international researchers, and consist of both
survey and research articles. The book gives the reader an insight
into the current research in differential geometry and Lie theory,
as well as applications of these topics, in particular to general
relativity and string theory.
This book introduces the general theory of relativity and
includes applications to cosmology. The book provides a thorough
introduction to tensor calculus and curved manifolds. After the
necessary mathematical tools are introduced, the authors offer a
thorough presentation of the theory of relativity. Also included
are some advanced topics not previously covered by textbooks,
including Kaluza-Klein theory, Israel's formalism and branes.
Anisotropic cosmological models are also included. The book
contains a large number of new exercises and examples, each with
separate headings. The reader will benefit from an updated
introduction to general relativity including the most recent
developments in cosmology.
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