The problem of motion of extended bodies in General Relativity is
notorious for its analytical difficulty, but at the same time
highly relevant for comparison of theoretical predictions with
modern precision measurements in relativistic astrophysics and
cosmology. Its one of the most important topics in General
Relativity and its application to astrophysics.
Equations of Motion in General Relativity focuses attention on two
aspects of equations of motion in general relativity: the motion of
extended bodies (stars) and the motion of small black holes. The
objective is to offer a guide to prospective researchers into these
areas of general relativity and to point out open questions and
topics that are ripe for further development. It is over forty
years since a text on this subject was published and in that time
the research area of equations of motion in general relativity has
undergone extraordinary development, stimulated by the discovery of
the binary neutron star PSR 1913+16 in 1974 (which was the first
isolated gravitating system found in which general relativity plays
a fundamental role in describing theoretically its evolution), and
more recently by the advent of kilometre size interferometric
gravitational wave detectors which are expected to detect
gravitational waves produced by coalescing binary neutron stars.
General
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