Gravitation : from Newton to Einstein /: from Newton to Einstein. (2020)
- Record Type:
- Book
- Title:
- Gravitation : from Newton to Einstein /: from Newton to Einstein. (2020)
- Main Title:
- Gravitation : from Newton to Einstein
- Further Information:
- Note: Pierre Fleury.
- Authors:
- Fleury, Pierre
- Contents:
- 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 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 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; 4.2Intro; 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 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 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 … (more)
- Publisher Details:
- Cham : Springer
- Publication Date:
- 2020
- Extent:
- 1 online resource (128 pages)
- Subjects:
- 531/.14
Gravitation
Gravitation
Electronic books
Electronic books - Languages:
- English
- ISBNs:
- 9783030320010
3030320014 - Related ISBNs:
- 9783030320003
- Notes:
- Note: Includes bibliographical references.
- Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.471786
- Ingest File:
- 03_026.xml