Proceedings of the XXIII Spanish Relativity Meeting on Reference Frames and Gravitomagnetism : Valladolid, Spain, 6-9 September 2000

Overview of the developments in gravitomagnetism taken place in the last few years. Conference held September 6-9, 2000, Valladolid, Spain. For graduate students and researchers in physics, astronomy and applied mathematics. Machine generated contents note: Spacetime splitting techniques and gravitoelectromagnetism in general relativity1 D. Bini and R, T. Jantzen Gravitoelectromagnetism: applications to black hole circular orbits13 D. Bini and R. T. Jantzen Gravitomagnetism, Lense-Thirring effect and de Sitter precession 25 I. Ciufolini Gravitomagnetic phenomena due to spin, Lense-Thirring effect and its 1995-2000 measurements with earth satellites35 I. Ciufolini Elements for a theory of relativistic coordinate systems. Formal and physical aspects53 B. Coll Black hole astrophysics: Gravitomagnetism and non keplerian orbits 67 F. de Felice Theory of relativistic-reference frames for high-precision stronietric space misions79 S. M. Kopeikin Geometry and dynamics of the brane-world93 R. Maartens Gravitoelectromagnetism :121 B. Mashhoon Relativity and nonlocality133 B. Mashhoon General electric-magnetic decomposition of fields, positivity and Rainich-like conditions145 J. M. M. Senovilla COMMUNICATIONS ON REFERENCE FRAMES AND GRAVITOMAGNETISM The dominant energy condition and generalised Rainich conditions165 G. Bergqvist On turning over gyroscopic precession171 J, L. Herndndez-Pastora, J. Martin and E. Ruiz Solid and ocean earth tides and the detection of some gravitomagnetic effects179 L. lorio Properties of Bel currents185 R. Lazkoz, J. M. M. Senovilla and R. Vera Sagnac and the g-clock effect revisited191 A. Tartaglia A List of references on spacetime splitting and gravitoelectromagnetism199 D. Bini and R. T. Jantzen INVITED LECTURE* AND COMMUNICATIONS ON OTHER TOPICS On thermal equilibrium in general relativity227 E. Santos-Corchero* Entropy in the universe: A new approach237 A. Alfonso-Faus On cyclically symmetrical spacetimes241 A. Barnes A theory of time-varying constants247 J. A. Belinchdn and A. Alfonso-Faus Relations between lightlike foliations and observers in symplectic mechanics253 V. J. Bolos, V. Liern and J. Olivert Scalar field cosmologies259 J. Carot and M. M. Collinge Thermodynamics and the dominant energy condition in gravity theoriesi 265 M. Cataldo and S. del Campo Twisting type-N fields with symmetries271 F. J. Chinea and F. Navavro-Ldrida Ideal gas Stephani universes279 B. Coil and J. J. Ferrando Constructing models for stars and voids in the universe: A comprehensive approach285 F. Fayos, J. M. M. Senovilla and R. Torres Vacuum spacetimes with an isometry293 F. Fayos and C. F. Sopuerta Multipole corrections to perihelion and node line precession299 L. Ferndndez-Jambrina Comments on purely electric Weyl tensors305 J. J. Fernnando and J. A. Sdez Ring-down of an accreting black hole311 J. A. Font and P. Papadopoulos Magnetised cosmological perturbations: A dynamical systems approach317 S. Hobbs and P. K. S. Dunsby Contradiction between the Friedmann universe and the local physics325 D. L. Khokhlov On radiative properties of boost-rotation symmetric, type D spacetimes327 R. Lazkoz and J. A. Valiente Classical and relativistic time dilation333 A. L. Ldpez Ramos Advance of Mercury perihelion explained by cogravity339 C. J. de Matos and M. Tajmar Generation and detection of high frequency gravitational waves347 M. Portilla and R. Lapiedra The intrinsic structure of the Petrov classification353 J. M. Pozo and J. M. Parra Generation of gravitational waves in de Sitter space-time359 J. Ramfirez List of participants365. This book provides an authoritative overview of the developments in gravitomagnetism which have taken place in the last few years. In particular, experiments for measuring the Lense-Thirring effect with satellites orbiting the Earth are reviewed, and an updated list of references on gravitomagnetism is included. The book also presents diverse research in general relativity and cosmology. It will be of interest to graduate students and researchers in cosmology, astrophysics, astronomy, relativity and applied mathematics. While it is difficult to associate mental images with concepts on a general spacetime manifold, by making a local identification with Minkowski space-time, we can transfer our space-plus-time experience in this simpler context, already upgraded to special relativity from Newtonian physics, to a general curved spacetime through a spacetime splitting scheme.