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Pierre Fleury

Gravitation

Name: Gravitation
Author: Pierre Fleury

From Newton to Einstein

Paperback Engels 2019 9783030320003

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This primer proposes a journey from Newton's dynamics to Einstein's relativity. It constitutes a pedagogical, rigorous, and self-contained introduction to the concepts and mathematical formulation of gravitational physics.In particular, much attention is devoted to exploring and applying the basic tools of differential geometry, that is the language of general relativity. Real-world manifestations of relativity, such as time dilation, gravitational waves, and black holes, are also discussed in detail.
This book is designed for third-year bachelor or first-year master students in theoretical physics, who are already familiar with Newton's physics, possibly had an introductory course on special relativity, and who are seeking to learn general relativity on a firm basis.

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ISBN13:9783030320003

Taal:Engels

Bindwijze:paperback

Uitgever:Springer International Publishing

Serie:SpringerBriefs in Physics

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I Newton’s physics <div>I.A Kinematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2</div><div>I.B Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10</div><div>I.C Lagrangian mechanics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 </div><div>I.D Gravitation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 </div><div>I.E Application to the Solar System . . . . . . . . . . . . . . . . . . . . . . . . 23 </div><div>Epilogue: when Newtonian physics fails . . . . . . . . . . . . . . . . . . . . . . . 28 </div><div><br></div><div>II Einstein’s theory of relativity 29 </div><div>II.A Space-time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 </div><div>II.B Physics in four dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 </div><div>II.C Differential geometry tool kit . . . . . . . . . . . . . . . . . . . . . . . . . 45 </div><div>II.D Space-time tells matter how to fall . . . . . . . . . . . . . . . . . . . . . . 52 </div><div>II.E Matter tells space-time how to curve . . . . . . . . . . . . . . . . . . . . . 59 </div><div>Newton versus Einstein . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 </div><div><br></div><div>III The general-relativistic world 69 </div><div>III.AWeak gravitational fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 </div><div>III.B Gravitational waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 </div><div>III.C The Schwarzschild black hole . . . . . . . . . . . . . . . . . . . . . . . . . 83 </div><div><br></div><div>References </div>

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