Gravitation : from Newton to Einstein /
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Author / Creator: | Fleury, Pierre, author. |
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Imprint: | Cham : Springer, 2020. |
Description: | 1 online resource (128 pages) |
Language: | English |
Series: | SpringerBriefs in Physics Ser. SpringerBriefs in physics. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11997644 |
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505 | 0 | |a Intro; Preface; Acknowledgements; Influential References; Contents; 1 Introduction; 2 Newton's Physics; 2.1 Kinematics; 2.1.1 Time and Space; 2.1.2 Metric; 2.1.3 Scalar Product; 2.1.4 Motion; 2.1.5 Reference Frames; 2.2 Dynamics; 2.2.1 Newton's Three Laws of Dynamics; 2.2.2 Conserved Quantities; 2.2.3 Non-inertial Frames; 2.3 Lagrangian Mechanics; 2.3.1 Euler-Lagrange Equation; 2.3.2 Variational Calculus; 2.3.3 Hamilton's Least Action Principle; 2.4 Gravitation; 2.4.1 Universal Gravity Law; 2.4.2 Gravitational Field; 2.4.3 Lagrangian Formulation of Newton's Gravity | |
505 | 8 | |a 2.5 Application to the Solar System2.5.1 Orbits of Planets; 2.5.2 Tides; 3 Einstein's Theory of Relativity; 3.1 Space-Time; 3.1.1 Separation of Two Events; 3.1.2 Minkowski Metric and Four-Vectors; 3.1.3 Relativity of Time and Space; 3.2 Physics in Four Dimensions; 3.2.1 Motion and Frames in Relativity; 3.2.2 Relativistic Dynamics; 3.2.3 Nordström's Theory of Gravity; 3.3 Differential Geometry Tool Kit; 3.3.1 Tensors; 3.3.2 Metric; 3.3.3 Connection; 3.3.4 Geodesics; 3.3.5 Curvature; 3.4 Space-Time Tells Matter How to Fall; 3.4.1 Equivalence Principles; 3.4.2 Geodesic Motion | |
505 | 8 | |a 3.4.3 Physics in Curved Space-Time3.5 Matter Tells Space-Time How to Curve; 3.5.1 Energy-Momentum Tensor; 3.5.2 Einstein's Equation; 3.5.3 Action Principle for Gravitation; 4 The General-Relativistic World; 4.1 Weak Gravitational Fields; 4.1.1 Linearised Einstein's Equation; 4.1.2 Newtonian Regime; 4.1.3 Gravitational Dilation of Time; 4.2 Gravitational Waves; 4.2.1 Transverse Trace-Less Gauge; 4.2.2 Effect on Matter and Detection; 4.2.3 Production of Gravitational Waves; 4.3 The Schwarzschild Black Hole; 4.3.1 The Schwarzschild Solution; 4.3.2 Geodesics; 4.3.3 Event Horizon and Black Hole; 4.3.4 Black Holes in Nature5 Conclusion; References | |
504 | |a Includes bibliographical references. | ||
650 | 0 | |a Gravitation. |0 http://id.loc.gov/authorities/subjects/sh85056558 | |
650 | 7 | |a Gravitation. |2 fast |0 (OCoLC)fst00946866 | |
655 | 0 | |a Electronic books. | |
655 | 4 | |a Electronic books. | |
776 | 0 | 8 | |i Print version: |a Fleury, Pierre. |t Gravitation : From Newton to Einstein. |d Cham : Springer, ©2020 |z 9783030320003 |
830 | 0 | |a SpringerBriefs in physics. |0 http://id.loc.gov/authorities/names/no2011109146 | |
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928 | |t Library of Congress classification |a QC178 |l Online |c UC-FullText |u https://link.springer.com/10.1007/978-3-030-32001-0 |z Springer Nature |g ebooks |i 12565261 |