Mathematics – Differential Geometry
Scientific paper
Dec 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005gere.book.....h&link_type=abstract
General Relativity, by M. P. Hobson and G. P. Efstathiou and A. N. Lasenby, pp. . ISBN 0521829518. Cambridge, UK: Cambridge Univ
Mathematics
Differential Geometry
7
Scientific paper
After reviewing the basic concept of general relativity, this introduction discusses its mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle.
Efstathiou George P.
Hobson Michael P.
Lasenby Anthony N.
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