Special Relativity in General Frames: From Particles to Astrophysics

Capa
Springer Science & Business Media, 20 de ago. de 2013 - 784 páginas

Special relativity is the basis of many fields in modern physics: particle physics, quantum field theory, high-energy astrophysics, etc. This theory is presented here by adopting a four-dimensional point of view from the start. An outstanding feature of the book is that it doesn’t restrict itself to inertial frames but considers accelerated and rotating observers. It is thus possible to treat physical effects such as the Thomas precession or the Sagnac effect in a simple yet precise manner. In the final chapters, more advanced topics like tensorial fields in spacetime, exterior calculus and relativistic hydrodynamics are addressed. In the last, brief chapter the author gives a preview of gravity and shows where it becomes incompatible with Minkowsky spacetime.
Well illustrated and enriched by many historical notes, this book also presents many applications of special relativity, ranging from particle physics (accelerators, particle collisions, quark-gluon plasma) to astrophysics (relativistic jets, active galactic nuclei), and including practical applications (Sagnac gyrometers, synchrotron radiation, GPS). In addition, the book provides some mathematical developments, such as the detailed analysis of the Lorentz group and its Lie algebra.
The book is suitable for students in the third year of a physics degree or on a masters course, as well as researchers and any reader interested in relativity.
Thanks to the geometric approach adopted, this book should also be beneficial for the study of general relativity.

“A modern presentation of special relativity must put forward its essential structures, before illustrating them using concrete applications to specific dynamical problems. Such is the challenge (so successfully met!) of the beautiful book by Éric Gourgoulhon.” (excerpt from the Foreword by Thibault Damour)

 

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Conteúdo

Chapter 1 Minkowski Spacetime
1
Chapter 2 Worldlines and Proper Time
29
Chapter 3 Observers
63
Motion with Respect to an Observer
95
Change of Observer
131
Chapter 6 Lorentz Group
167
Chapter 7 Lorentz Group as a Lie Group
217
Chapter 8 Inertial Observers and Poincaré Group
257
Chapter 16 Integration in Spacetime
521
Chapter 17 Electromagnetic Field
545
Chapter 18 Maxwell Equations
585
Chapter 19 EnergyMomentum Tensor
629
Chapter 20 EnergyMomentum of the Electromagnetic Field
645
Chapter 21 Relativistic Hydrodynamics
667
Chapter 22 What About Relativistic Gravitation?
710
Appendix A Basic Algebra
733

Chapter 9 Energy and Momentum
271
Chapter 10 Angular Momentum
319
Chapter 11 Principle of Least Action
349
Chapter 12 Accelerated Observers
381
Chapter 13 Rotating Observers
427
Chapter 14 Tensors and Alternate Forms
473
Chapter 15 Fields on Spacetime
495
Appendix B Web Pages
737
Appendix C Special Relativity Books
739
References
741
List of Symbols
760
Index
765
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Sobre o autor (2013)

The astrophysicists Éric Gourgoulhon is CNRS Senior Scientist (directeur de recherche) at the Laboratoire Univers et Théorie LUTH of the Observatoire de Paris. He was awarded the CNRS silver medal 2012 for "the originality, quality and importance of his work, of both national and international repute". A specialist in special and general relativity, an experienced lecturer and author of two books on those subjects, Éric Gourgoulhon works on black holes, neutron stars, gravitational waves, Einstein's equations and numerical relativity.

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