Presentations given 
at the Conference
MATHEMATICS OF
GRAVITATION II

Warsaw,  September 1 – 9, 2003

edited by

A. Królak and K. Borkowski

"Z finansowym wsparciem Fundacji Współpracy Polsko-Niemieckiej
ze środków Republiki Federalnej Niemiec"
"Mit finanzieller Unterstützung der Stiftung für deutsch-polnische
Zusammenarbeit aus Mitteln der Bundesrepublik Deutschland"
"Financially supported by Foundation for Polish-German
Collaboration from funds of Federal Republic of Germany"

The conference gathered around 50 scientists from all over the world working in the field of general relativity theory. The meeting consisted of four sessions. Each session was devoted to a certain subject of theory of gravitation that is of current research interest and that poses challenging problems to mathematicians.     Session Mathematical Relativity was devoted to the study of global properties of space-time: space-time singularities, event and Cauchy horizons, structure of space-time infinity. Session Mathematical Cosmology was concerned with modeling the observable cosmological properties of our Universe by exact solutions of the Einstein equations. Session entitled Relativistic Two-Body Problem presented the current state of understanding of the two-body problem in Einsteinian theory of gravitation. Various approximation techniques employed in solving the problem, both analytical and numerical, were discussed. Session Gravitational-Wave Data Analysis contained discussions of statistical methods used to detect gravitational-wave signals in the data of the detector. The first results of the analysis of the real data collected by currently working gravitational-wave detectors were presented.     Below we attach presentations given by the speakers in all sessions in the formats provided by the authors.

Author     Title   Link Mathematical Relativity Andrzej Trautman Robinson manifolds, Cauchy-Riemann spaces and the shear-free condition html Helmut Friedrich Smoothness at null infinity and structure of initial data html Edward Malec Quasilocal mass in general relativity ps Marc Mars On Penrose inequality in general spacetimes ps, TeX Lars Andersson Phenomenology of inhomogenous cosmological spacetimes in scalefree variables ps Piotr Bizoń Formation of singularities for Yang-Mills equations pdf José M Martín-García Global structure of the Choptuik spacetime ps Walter Simon On local existence of dynamical horizons ps, TeX José M M Senovilla Novel results on trapped surfaces dvi, ps Włodzimierz Piechocki Global properties of spacetime and quantization html Krzysztof Roszkowski   Waves in Schwarzschild spacetimes: how strong can be imprints of the spacetime curvature? html Pavel Klepáč On a solution in Einstein-Maxwell-dilaton gravity ps Mathematical Cosmology Jeff Murugan Non-singular inflationary cosmology: The emergent universe html, sxi Charles Hellaby Finding the metric of the cosmos pdf Andrzej Krasiński Structure formation in the Universe by exact methods ps, TeX Kayll Lake Directions in computer algebra(*) html Marie-Noëlle Célérier Focusing of timelike or null singularity solutions for a radiative spherically symmetric gravitational source and cosmological applications ps, TeX Malcolm MacCallum Rewriting the exact solutions book ps, TeX Relativistic Two-Body Problem Éric Gourgoulhon Numerical approaches to the relativistic two-body problem: constructing initial data pdf Thomas Baumgarte Numerical approaches to the relativistic two-body problem: evolution equations ps Hideki Asada PN approximation for compact binaries with strong internal gravity html Clifford M Will Gravitational waves and equations of motion: post-Newtonian methods ps Luc Blanchet The harmonic-coordinates approach to the radiation and dynamics of compact binaries html Gerhard Schäfer The ADM canonical approach to the problem of motion of binary black holes ps Piotr Jaranowski Dimensional regularization of the gravitational interaction of point masses pdf Eric Poisson Gravitational self-force: The motion of a small mass in a strongly curved spacetime ps Guillaume Faye Skeleton Hamiltonian dynamics pdf Misao Sasaki Self-force regularization in the black hole perturbation approach html Gravitational-Wave Data Analysis Alicia M Sintes Hierarchical pulsar search – the Hough transform html Kazimierz Borkowski Referring a detector to the solar system barycenter html J Alberto Lobo A wideband acoustic g.w. detector: dual sphere ps Jerzy Usowicz Detection of gravitational wave transients using Malvar-Wilson wavelets html Xavier Siemens Setting upper limits on the strength of g.w. from isolated pulsars using the first science data from the LIGO and GEO detectors html Pia Astone EXPLORER and NAUTILUS: present status and future plans html, sxi Pia Astone Search for continuous gravitational waves with the Explorer and Nautilus detectors html, sxi Andrzej Królak All-sky search of EXPLORER data for continuous sources html Sergio Frasca All sky search for continuous gravitational waves html Cristiano Palomba All sky search for continuous gravitational waves: tests in a grid environment html (*)   Talk not presented orally due to absence of the author (the presentation link is external).