04535nam a22005775i 4500 978-94-007-5410-2 DE-He213 20210616140035.0 cr nn 008mamaa 121009s2013 ne | s |||| 0|eng d 9789400754102 978-94-007-5410-2 10.1007/978-94-007-5410-2 doi QC178 QC173.5-173.65 PHR bicssc SCI061000 bisacsh PHDV thema PHR thema 530.1 23 Straumann, Norbert. author. aut http://id.loc.gov/vocabulary/relators/aut General Relativity [electronic resource] / by Norbert Straumann. 2nd ed. 2013. Dordrecht : Springer Netherlands : Imprint: Springer, 2013. XX, 736 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Graduate Texts in Physics, 1868-4513 From the Contents: Part I The General Theory of Relativity -- Introduction -- Physics in External Gravitational Fields -- Einstein’s Field Equations -- Part II Applications of General Relativity -- The Schwarzschild Solution and Classical Tests of General Relativity.- Weak Gravitational Fields -- The Post-Newtonian Approximation -- White Dwarfs and Neutron Stars -- Black Holes -- The Positive Mass Theorem -- Essentials of Friedmann-Lemaˆıtre Models -- Part III Differential Geometry -- Differentiable Manifolds -- Tangent Vectors, Vector and Tensor Fields -- The Lie Derivative -- Differential Forms -- Affine Connections -- Some Details and Supplements. This book provides a completely revised and expanded version of the previous classic edition ‘General Relativity and Relativistic Astrophysics’. In Part I the foundations of general relativity are thoroughly developed, while Part II is devoted to tests of general relativity and many of its applications. Binary pulsars – our best laboratories for general relativity – are studied in considerable detail. An introduction to gravitational lensing theory is included as well, so as to make the current literature on the subject accessible to readers. Considerable attention is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel’s proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten’s proof of the positive energy theorem, which is presented in detail, together with the required tools on spin structures and spinor analysis. In Part III, all of the differential geometric tools required are developed in detail. A great deal of effort went into refining and improving the text for the new edition. New material has been added, including a chapter on cosmology. The book addresses undergraduate and graduate students in physics, astrophysics and mathematics. It utilizes a very well structured approach, which should help it continue to be a standard work for a modern treatment of gravitational physics. The clear presentation of differential geometry also makes it useful for work on string theory and other fields of physics, classical as well as quantum. Gravitation. Astronomy. Astrophysics. Mathematical physics. Physics. Classical and Quantum Gravitation, Relativity Theory. https://scigraph.springernature.com/ontologies/product-market-codes/P19070 Astronomy, Astrophysics and Cosmology. https://scigraph.springernature.com/ontologies/product-market-codes/P22006 Mathematical Physics. https://scigraph.springernature.com/ontologies/product-market-codes/M35000 History and Philosophical Foundations of Physics. https://scigraph.springernature.com/ontologies/product-market-codes/P29000 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789400754096 Printed edition: 9789400754119 Printed edition: 9789400799547 Graduate Texts in Physics, 1868-4513 https://doi.org/10.1007/978-94-007-5410-2 ZDB-2-PHA ZDB-2-SXP Physics and Astronomy (SpringerNature-11651) Physics and Astronomy (R0) (SpringerNature-43715)