Equations of Motion in Relativistic Gravity

  • Dirk Puetzfeld
  • Claus Lämmerzahl
  • Bernard Schutz

Part of the Fundamental Theories of Physics book series (FTPH, volume 179)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Roman Plyatsko, Mykola Fenyk, Oleksandr Stefanyshyn
    Pages 165-190
  3. Alexander J. Silenko
    Pages 303-315
  4. Barry Wardell
    Pages 487-522
  5. Lars Andersson
    Pages 543-559
  6. O. Semerák, P. Suková
    Pages 561-586
  7. Sergei M. Kopeikin, Alexander N. Petrov
    Pages 689-757
  8. A. Eckart, S. Britzen, M. Valencia-S., C. Straubmeier, J. A. Zensus, V. Karas et al.
    Pages 759-781
  9. Stanislav Babak, Jonathan R. Gair, Robert H. Cole
    Pages 783-812
  10. Carla Cederbaum
    Pages 813-821
  11. Arne Grenzebach
    Pages 823-832

About this book


 The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories. The topics covered range from the description of test bodies, to self-gravitating (heavy) bodies, to current and future observations.

Emphasis is put on the coverage of various approximation methods (e.g., multipolar, post-Newtonian, self-force methods) which are extensively used in the context of the relativistic problem of motion. Applications discussed in this volume range from the motion of binary systems -- and the gravitational waves emitted by such systems -- to observations of the galactic center. In particular the impact of choices at a fundamental theoretical level on the interpretation of experiments is highlighted.

This book provides a broad and up-do-date status report, which will not only be of value for the experts working in this field, but also may serve as a guideline for students with background in General Relativity who like to enter this field.


Equations of motion in relativistic mechanics Geodesic dynamics Mathisson-Papapetrou equations Motion in curved spacetime Motion of self-gravitating bodies Particle trajectories in gravitational fields Post-Newtonian dynamics

Editors and affiliations

  • Dirk Puetzfeld
    • 1
  • Claus Lämmerzahl
    • 2
  • Bernard Schutz
    • 3
  1. 1.ZARM University of BremenBremenGermany
  2. 2.ZARM University of BremenBremenGermany
  3. 3.Max-Planck-Institut für GravitationsphysikGolmGermany

Bibliographic information