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.
Author(s): Dirk Puetzfeld, Claus Lämmerzahl, Bernard Schutz (eds.)
Series: Fundamental Theories of Physics 179
Edition: 1
Publisher: Springer International Publishing
Year: 2015
Language: English
Pages: 840
Tags: Classical and Quantum Gravitation, Relativity Theory; Mathematical Applications in the Physical Sciences; Mathematical Methods in Physics
Front Matter....Pages i-xiii
The New Mechanics of Myron Mathisson and Its Subsequent Development....Pages 1-66
Multipolar Test Body Equations of Motion in Generalized Gravity Theories....Pages 67-119
Energy-Momentum Tensors and Motion in Special Relativity....Pages 121-163
Solutions of Mathisson-Papapetrou Equations for Highly Relativistic Spinning Particles....Pages 165-190
The MPD Equations in Analytic Perturbative Form....Pages 191-213
Center of Mass, Spin Supplementary Conditions, and the Momentum of Spinning Particles....Pages 215-258
General Relativistic Two-Body Problem: Theory and Experiment and the Role of Hidden Momentum....Pages 259-264
Equations of Motion of Schwarzschild, Reissner–Nordström and Kerr Particles....Pages 265-284
From Singularities of Fields to Equations of Particles Motion ....Pages 285-301
Motion of Spinless Particles in Gravitational Fields....Pages 303-315
On the Strong Field Point Particle Limit and Equation of Motion in General Relativity....Pages 317-326
Motion in Classical Field Theories and the Foundations of the Self-force Problem....Pages 327-398
Motion of Small Objects in Curved Spacetimes: An Introduction to Gravitational Self-Force....Pages 399-486
Self-force: Computational Strategies....Pages 487-522
On the Self-force in Electrodynamics and Implications for Gravity....Pages 523-542
Self-gravitating Elastic Bodies....Pages 543-559
On Geodesic Dynamics in Deformed Black-Hole Fields....Pages 561-586
Higher Order Post-Newtonian Dynamics of Compact Binary Systems in Hamiltonian Form....Pages 587-614
Spin and Quadrupole Contributions to the Motion of Astrophysical Binaries....Pages 615-649
Testing the Motion of Strongly Self-Gravitating Bodies with Radio Pulsars....Pages 651-687
Equations of Motion in an Expanding Universe....Pages 689-757
The Galactic Center Black Hole Laboratory....Pages 759-781
Extreme Mass Ratio Inspirals: Perspectives for Their Detection....Pages 783-812
Level Sets of the Lapse Function in Static GR....Pages 813-821
Aberrational Effects for Shadows of Black Holes....Pages 823-832
Time-Domain Inspiral Templates for Spinning Compact Binaries in Quasi-Circular Orbits....Pages 833-840
