Equations of Motion in General Relativity

Erscheinungsjahr 2012
ISBN: 978-0-19-958410-9
Verlag: Oxford University Press (UK)

Buch, Englisch, Band 148, 164 Seiten, Format (B × H): 183 mm x 260 mm, Gewicht: 516 g

Reihe: International Series of Monographs on Physics

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.

We focus attention on two aspects of equations of motion in general relativity: the motion of extended bodies (stars) and the motion of small black holes. Our 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.

Zielgruppe

Graduate students in Theoretical Physics and Relativistic Astrophysics. Postgraduate students and researchers in Astrophysics and Astronomy. Mathematicians working in the field of applications of Differential Geometry to Physics.

Autoren/Hrsg.

Asada, Hideki

Futamase, Toshifumi

Hogan, Peter

Fachgebiete

• Naturwissenschaften Astronomie Astrophysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Astronomie Zeitmesssysteme, Relativitätstheorie
• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Naturwissenschaften Physik Angewandte Physik Astrophysik

Inhaltsverzeichnis

1: Introduction
2: Foundations of the Post Newtonian Approximation
3: The Third Post Newtonian Approximation
4: Two-Body Problem in General Relativity
5: Small Black Holes: Geometrical Preliminaries
6: Small Charged Black Holes: Equations of Motion
7: Gravitational Physics of Few Body Systems

Über Autor(innen)

Hideki Asada [Research Fellow, previously: Yukawa Institute for Theoretical Physics, Kyoto University; Institut
d'Astrophysique de Paris]

Toshifumi Futamase [Research Fellow, previously: Max Planck Institute, Munich; Washington University, St. Louis; University College Cardiff]

Peter Hogan [Research Fellow, previously: School of Theoretical Physics, Dublin Institute for Advanced Studies; University of Texas, Austin; Trinity College, Dublin]