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100   $a20100715d2009      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aLecture Notes on the General Theory of Relativity$b[electronic resource] $eFrom Newton?s Attractive Gravity to the Repulsive Gravity of Vacuum Energy /$fby Øyvind Grøn
205   $a1st ed. 2009.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2009.
215   $a1 online resource (XII, 252 p. 93 illus.) 
225 1 $aLecture Notes in Physics,$x0075-8450 ;$v772
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-387-88133-6 
320   $aIncludes bibliographical references and index.
327   $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.
330   $aThis book has resulted from a course in the general theory of relativity at the University of Oslo where the author has lectured for more than twenty years. Although the text is designed for master students, it is rather self-contained. Since mathematics courses on differential geometry and tensor calculus usually employ a rather abstract notation different from the component notation used in physical applications, the book introduces not only an introduction to the physical principles of the theory and physical applications of the theory, but also introduces the mathematics which is needed, in particular the calculus of differential forms. Detailed calculations are given of the bending of light, the perihelion precession of Mercury and the predictions for the Hafele-Keating experiment. The Tolman-Oppenheimer-Volkoff equation is deduced and solved for an incompressible fluid to give the internal Schwarzschild solution. Rotating black holes are discussed. The Friedmann-Robertson-Walker universe models are deduced. Also the reader will become familiar with the Universe model which is now considered as the standard model of the universe; a flat model filled with vacuum energy and cold matter. The inflationary era at the first moment of the history of our universe is also discussed.
410  0$aLecture Notes in Physics,$x0075-8450 ;$v772
606   $aGravitation
606   $aPhysics
606   $aAstronomy
606   $aAstrophysics
606   $aClassical and Quantum Gravitation, Relativity Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19070
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aAstronomy, Astrophysics and Cosmology$3https://scigraph.springernature.com/ontologies/product-market-codes/P22006
615  0$aGravitation.
615  0$aPhysics.
615  0$aAstronomy.
615  0$aAstrophysics.
615 14$aClassical and Quantum Gravitation, Relativity Theory.
615 24$aMathematical Methods in Physics.
615 24$aAstronomy, Astrophysics and Cosmology.
676   $a530.11
686   $a530$2sdnb
686   $aUD 8220$2rvk
700   $aGrøn$b Øyvind$4aut$4http://id.loc.gov/vocabulary/relators/aut$0502566
906   $aBOOK
912   $a996466822003316
996   $aLecture Notes on the General Theory of Relativity$9855584
997   $aUNISA