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  • © 2013

Special Relativity in General Frames

From Particles to Astrophysics

  • Remarkably rich coverage of special relativity showing the full formal mathematical derivation of results which are elsewhere only motivated by Gedanken experiments

  • Special relativity of accelerated observers is treated in detail

  • Endorsed by Thibault Damour, the well-known French professor in theoretical physics and expert in general relativity

  • Includes supplementary material: sn.pub/extras

Part of the book series: Graduate Texts in Physics (GTP)

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eBook USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-3-642-37276-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 79.99
Price excludes VAT (USA)
Hardcover Book USD 109.99
Price excludes VAT (USA)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xxx
  2. Minkowski Spacetime

    • Éric Gourgoulhon
    Pages 1-28
  3. Worldlines and Proper Time

    • Éric Gourgoulhon
    Pages 29-62
  4. Observers

    • Éric Gourgoulhon
    Pages 63-94
  5. Kinematics 1: Motion with Respect to an Observer

    • Éric Gourgoulhon
    Pages 95-129
  6. Kinematics 2: Change of Observer

    • Éric Gourgoulhon
    Pages 131-165
  7. Lorentz Group

    • Éric Gourgoulhon
    Pages 167-216
  8. Lorentz Group as a Lie Group

    • Éric Gourgoulhon
    Pages 217-255
  9. Inertial Observers and Poincaré Group

    • Éric Gourgoulhon
    Pages 257-269
  10. Energy and Momentum

    • Éric Gourgoulhon
    Pages 271-318
  11. Angular Momentum

    • Éric Gourgoulhon
    Pages 319-348
  12. Principle of Least Action

    • Éric Gourgoulhon
    Pages 349-379
  13. Accelerated Observers

    • Éric Gourgoulhon
    Pages 381-426
  14. Rotating Observers

    • Éric Gourgoulhon
    Pages 427-471
  15. Tensors and Alternate Forms

    • Éric Gourgoulhon
    Pages 473-494
  16. Fields on Spacetime

    • Éric Gourgoulhon
    Pages 495-520
  17. Integration in Spacetime

    • Éric Gourgoulhon
    Pages 521-543
  18. Electromagnetic Field

    • Éric Gourgoulhon
    Pages 545-583
  19. Maxwell Equations

    • Éric Gourgoulhon
    Pages 585-627
  20. Energy–Momentum Tensor

    • Éric Gourgoulhon
    Pages 629-643

About this book

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)

Keywords

  • Limits of special relativity
  • Minkowski spacetime
  • Relativistic Hydrodynamics
  • Special Relativity - geometric approach
  • Special Relativity in astrophysics
  • Special Relativity in general rest frames
  • Special Relativity in particle physics
  • Special Relativity with accelerated observers
  • Special Relativity with rotating observers
  • fluid- and aerodynamics

Authors and Affiliations

  • Observatoire de Paris Université Pris Diderot, Lab. Univers et Theories (LUTH) UMR 8102 du CNRS, Meudon, France

    Éric Gourgoulhon

About the author

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.

Bibliographic Information

Buying options

eBook USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-3-642-37276-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 79.99
Price excludes VAT (USA)
Hardcover Book USD 109.99
Price excludes VAT (USA)