Frontiers in Relativistic Celestial Mechanics, Volume 1: Theory

Description

Relativistic celestial mechanics - investigating the motion celestial bodies in general relativity - is a major tool of modern experimental gravitational physics. With a wide range of prominent authors from the field, this two-volume series consists of reviews on a multitude of advanced topics in the area of relativistic celestial mechanics which cover a wide range of topics from more canonical - such as equations of motion of N-body system in asymptotically-flat spacetime, light propagation and celestial ephemerides - to progressive interdisciplinary studies in gravitational wave astronomy, cosmology and alternative theories of gravity as well as modern experiments for testing general theory of relativity. Volume 1 is concerned with theoretical foundations such as post-Newtonian solutions to the two-body problem, light propagation through time-dependent gravitational fields, as well as cosmological effects on the movements of bodies in various astrophysical systems. Volume 2 covers applications of the theory as well as experimental verifications. From tools to determine light travel times in curved space-time to laser ranging between earth and moon and between satellites, and impacts on the definition of time scales and clock comparison techniques, a variety of effects is discussed. On the occasion of his 80th birthday, these two volumes honor V.A. Brumberg - one of the pioneers in modern relativistic celestial mechanics. Volume 1 : Theory The general relativistic two-body problem / Thibault Damour Hamiltonian dynamics of spinning compact binaries through high post-Newtonian approximations / Gerhard Schäfer Covariant theory of the post-Newtonian equations of motion of extended bodies / Yi Xie and Sergei Kopeikin On the DSX-framework / Michael Soffel General relativistic theory of light propagation in multipolar gravitational fields / Pavel Korobkov and Sergei Kopeikin On the backreaction problem in cosmology / Toshifumi Futamase Post-Newtonian approximations in cosmology / Alexander Petrov and Sergei Kopeikin. Volume 2 : Applications and Experiments New tools for determining the light travel time in static, spherically symmetric spacetimes beyond the order G² / Pierre Teyssandier Testing relativistic gravity with radio pulsars / Norbert Wex Lunar laser ranging and relativity / Jürgen Müller, Liliane Biskupek, Franz Hofmann, and Enrico Mai Dragging of inertial frames, fundamental physics, and satellite laser ranging / Ignazio Ciufolini, Antonio Paolozzi, Vahe Gurzadyan, Erricos C. Pavlis, Rolf König, John Ries, Richard Matzner, Roger Penrose, Giampiero Sindoni, and Claudio Paris Elliptic functions and elliptic integrals for celestial mechanics and dynamical astronomy / Toshio Fukushima Victor Brumberg and the French school of analytical celestial mechanics / Jean-Louis Simon and Agnes Fienga Atomic time, clocks, and clock comparisons in relativistic spacetime / Gérard Petit, Peter Wolf, and Pacôme