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001 978-0-387-88134-8
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020 _a9780387881348
_9978-0-387-88134-8
024 7 _a10.1007/978-0-387-88134-8
_2doi
050 4 _aQC178
050 4 _aQC173.5-173.65
072 7 _aPHDV
_2bicssc
072 7 _aSCI033000
_2bisacsh
072 7 _aPHDV
_2thema
072 7 _aPHR
_2thema
082 0 4 _a530.1
_223
100 1 _aGrøn, Øyvind.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aLecture Notes on the General Theory of Relativity
_h[electronic resource] :
_bFrom Newton's Attractive Gravity to the Repulsive Gravity of Vacuum Energy /
_cby Øyvind Grøn.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2009.
300 _aXII, 252 p. 93 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v772
505 0 _aNewton’s Law of Universal Gravitation -- The Special Theory of Relativity -- Vectors, Tensors and Forms -- Accelerated Reference Frames -- Covariant Differentiation -- Curvature -- Einstein’s Field Equations -- The Schwarzschild Spacetime -- Black Holes -- Schwarzschild’s Interior Solution -- Cosmology.
520 _aThis book has resulted from a course in the general theory of relativity at the University of Oslo where the author has lectured for more than twenty years. Although the text is designed for master students, it is rather self-contained. Since mathematics courses on differential geometry and tensor calculus usually employ a rather abstract notation different from the component notation used in physical applications, the book introduces not only an introduction to the physical principles of the theory and physical applications of the theory, but also introduces the mathematics which is needed, in particular the calculus of differential forms. Detailed calculations are given of the bending of light, the perihelion precession of Mercury and the predictions for the Hafele-Keating experiment. The Tolman-Oppenheimer-Volkoff equation is deduced and solved for an incompressible fluid to give the internal Schwarzschild solution. Rotating black holes are discussed. The Friedmann-Robertson-Walker universe models are deduced. Also the reader will become familiar with the Universe model which is now considered as the standard model of the universe; a flat model filled with vacuum energy and cold matter. The inflationary era at the first moment of the history of our universe is also discussed.
650 0 _aMathematical physics.
650 0 _aAstronomy.
650 1 4 _aClassical and Quantum Gravitation, Relativity Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P19070
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aAstronomy, Astrophysics and Cosmology.
_0http://scigraph.springernature.com/things/product-market-codes/P22006
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441927750
776 0 8 _iPrinted edition:
_z9780387882239
776 0 8 _iPrinted edition:
_z9780387881331
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v772
856 4 0 _uhttps://doi.org/10.1007/978-0-387-88134-8
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c9867
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