CONTENTS -- PREFACE -- SCIENTIFIC AND ORGANIZING COMMITTEE -- SPONSORSHIPS -- Plenary Lectures -- RADIATIVE FIELDS IN SPACETIMES WITH MINKOWSKI AND DE SITTER ASYMPTOTICS -- 1. Introduction -- 2. Asymptotically flat radiative spacetimes: existence -- 3. Asymptotically de Sitter radiative spacetimes: existence -- 4. Asymptotically flat radiative spacetimes with boost-rotation symmetry -- 5. On physical interpretation of non-twisting type N solutions with Λ ≠ O -- 6. Robinson-Trautman radiative spacetimes with Λ ≠ O -- 7. Fields of uniformly accelerated sources in de Sitter spacetime -- 8. Outlook -- Acknowledgments -- References -- GRAVITATIONAL WAVE DETECTORS: A REPORT FROM LIGO-LAND -- 1. Introduction -- 2. Interferometric Gravitational Wave Detectors -- 3. Data Taking Runs -- 4. Note added in Proof -- 5. Conclusions -- References -- BRANE-WORLD COSMOLOGY -- 1. Introduction -- 2. Covariant dynamics and perturbations -- 3. Conclusions -- Acknowledgments -- References -- CONSISTENT DISCRETE GRAVITY SOLUTION OF THE PROBLEM OF TIME: A MODEL -- 1. Introduction -- 2. The Page-Wootters construction -- 3. Consistent discrete mechanics -- 4. The Page-Wootters quantization of the parameterized particle -- 5. Discussion -- 6. Acknowledgments -- References -- Section 1 Cosmology and Brane Gravity -- ON THE CONSTRUCTION OF EINSTEIN SPACES AND BRANES OF ANY DIMENSIONALITY -- 1. Introduction -- 2. The One-Parameter Foliations -- 3. Discussion -- References -- AUTOMORPHISMS AND QUANTUM HAMILTONIAN DYNAMICS IN BIANCHI COSMOLOGIES -- 1. Introduction -- 2. Automorphism Inducing Diffeomorphisms -- 3. Automorphisms and the Linear Constraints -- 4. Discussion -- References -- BRANEWORLDS WITH INDUCED GRAVITY -- 1. Introduction -- 2. Four-dimensional Static Spherically Symmetric Solutions -- References.

CONFORMAL DYNAMICAL EQUIVALENCE AND THE COSMOLOGICAL EXPANSION OF A REALISTIC UNIVERSE -- 1. Conformal Dynamical Equivalence and the Robertson-Walker Metric -- References -- Note Added in Proof -- DARK ENERGY OR EXTRA DIMENSION OSCILLATIONS? -- References -- THE DYNAMICAL SYSTEM APPROACH TO SCALAR FIELD COSMOLOGIES -- 1. Scalar-field cosmologies -- 2. Flat FRW with an arbitrary non-negative potential -- References -- COSMIC RAYS AND LARGE EXTRA DIMENSIONS -- References -- AXION SEARCHES AT CERN WITH THE CAST TELESCOPE -- 1. Introduction -- 2. Experimental program -- 3. Experimental set up -- References -- Section 2 Mathematical Relativity -- COSMIC OPTICAL ACTIVITY FROM A KALB-RAMOND FIELD -- 1. Cosmic optical activity -- 2. Maxwell-Kalb-Ramond theory -- 3. Homogeneous and inhomogeneous KR fields -- 4. Summary and Conclusions -- Acknowledgments -- References -- ANISOTROPIC FLUIDS AND ROTATION IN GENERAL RELATIVITY -- 1. Introduction -- 2. NP Formalism in the complex vectorial representation -- 3. Carter's family [Ã] of solutions -- References -- CAN SPHERICAL GRAVITATIONAL COLLAPSE IN NEWTONIAN THEORY BE PREVENTED BY NON-RADIAL STRESSES? -- 1. Introduction -- 2. The Classical Tangential Stresses -- References -- INTEGRABLE NONLINEAR SYSTEMS GENERALIZING THE ERNST EQUATION OF GR -- 1. Introduction -- 2. The hyperbolic form of the Ernst equation -- 3. Lax pairs -- 4. Two-dimensional reductions of the ASDYM equations -- 5. Lax pair and Backlund transformations -- 6. The Ernst-Weyl equations -- References -- COMPLETENESS THEOREMS IN GENERAL RELATIVITY -- References -- GEOMETRICAL ASPECTS OF AN INTEGRABLE NONLINEAR EQUATION OF THE SCHWARZIAN TYPE -- 1. Introduction -- 2. The anti-self-dual Yang-Mills equations -- 3. Anti-self-dual metrics -- 4. From solutions of the RPDE to ASD metrics -- References.

ON THE GENERALITY OF THE KANTOWSKI-SACHS VACUUM GEOMETRY -- 1. Introduction -- 2. AID's and the generality of the KS vacuum model -- 3. Discussion -- References -- DEFINITION OF "CONSERVED QUANTITIES" IN GENERAL RELATIVITY AND OTHER THEORIES OF GRAVITY WITHIN THE HAMILTONIAN FRAMEWORK -- 1. Preliminaries -- 2. Existence of a Hamiltonian -- 3. Definition of Conserved Quantities. -- 4. Null Infinity in General Relativity -- References -- GRAVITY WAVE BOOST OF COSMIC MAGNETIC FIELDS -- 1. Introduction -- 2. The model -- 3. The interaction -- 4. The effect -- 5. The application -- 6. Conclusion -- References -- CAPABILITIES OF THE MATHEMATICA PACKAGE 'RIEMANNIAN GEOMETRY AND TENSOR CALCULUS' -- 1. Introduction -- 2. Representation and Naming of Tensors -- 3. New functions denned by RGTC -- 4. Sample calculations: Going beyond the Ricci tensor -- 4.1. Bach and Bell-Robinson Tensors -- 4.2. Asymptotic behavior of the Bondi metric near null infinity. -- 5. Implicit Frame Calculations -- Section 3 Astrophysical Relativity and the Detection of Gravitational Waves -- EQUILIBRIUM AND PULSATIONS OF ROTATING STARS IN NUMERICAL RELATIVITY -- 1. Introduction -- 2. Evolving the Equilibrium Model -- 3. Mode-Excitation and Mode-Extraction -- 4. Discussion -- Acknowledgments -- References -- AXISYMMETRIC MODES OF DIFFERENTIALLY ROTATING NEUTRON STARS -- 1. Introduction -- 2. Preparing the Initial Equilibrium State -- 3. Axisymmetric Modes -- Acknowledgments -- References -- STELLAR PERTURBATION THEORY AND THE DETECTION OF GRAVITATIONAL WAVES FROM NEUTRON-STAR BINARIES -- 1. Quasinormal modes of staxs and black holes -- 2. Perturbative description of a binary system containing a neutron star -- 3. Effects of stellar structure on detection -- Acknowledgments -- References -- LMXBS AS SOURCES OF GRAVITATIONAL WAVES -- INTRODUCTION: -- NEUTRON STARS: -- STRANGE STARS:.

References -- NON-LINEAR NEUTRON STAR OSCILLATIONS VIEWED AS DEVIATIONS FROM AN EQUILIBRIUM STATE -- 1. Introduction -- 2. A "conventional" formulation for radial oscillations -- 3. A "non-linear perturbative" scheme -- 4. Non-linear coupling of eigenmodes -- Acknowledgments -- References -- PERTURBATIONS OF SLOWLY ROTATING RELATIVISTIC STARS -- 1. Introduction -- 2. Cowling approximation -- References -- ACCELERATION AND CYCLOTRON RADIATION INDUCED BY GRAVITATIONAL WAVES -- 1. Introduction -- 2. Derivation of t h e equations of motion -- 3. The GW is parallel to the magnetic field -- 4. The GW is perpendicular to the magnetic field -- 5. Conclusions -- Acknowledgements -- References.