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130626  eng 
020 


a 9780387881348

100 
1 

a Grøn, Øyvind

245 
0 
0 
a Lecture Notes on the General Theory of Relativity
h Elektronische Ressource
b From Newton’s Attractive Gravity to the Repulsive Gravity of Vacuum Energy
c by Øyvind Grøn

250 


a 1st ed. 2009

260 


a New York, NY
b Springer New York
c 2009, 2009

300 


a XII, 252 p. 93 illus
b online resource

505 
0 

a Newton’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

653 


a Gravitation

653 


a Classical and Quantum Gravitation, Relativity Theory

653 


a Physics

653 


a Mathematical Methods in Physics

653 


a Astronomy, Astrophysics and Cosmology

653 


a Astrophysics

653 


a Astronomy

710 
2 

a SpringerLink (Online service)

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0 
7 
a eng
2 ISO 6392

989 


b Springer
a Springer eBooks 2005

490 
0 

a Lecture Notes in Physics

856 


u https://doi.org/10.1007/9780387881348?nosfx=y
x Verlag
3 Volltext

082 
0 

a 530.1

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a This 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 selfcontained. 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 HafeleKeating experiment. The TolmanOppenheimerVolkoff equation is deduced and solved for an incompressible fluid to give the internal Schwarzschild solution. Rotating black holes are discussed. The FriedmannRobertsonWalker 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
