GRASP: A DATA ANALYSIS PACKAGE FOR GRAVITATIONAL WAVE DETECTION

By V. FILIE

CONTENTS INTRODUCTION REFERENCES PROLOGUE TIDES IN NEWTON’S GRAVITY RELATIVITY A BRIEF REVIEW OF GENERAL RELATIVITY DIFFERENTIAL GEOMETRY COORDINATES AND DISTANCES VECTORS CONNECTIONS GEODESICS CURVATURE GEODESIC DEVIATION RICCI AND EINSTEIN TENSORS SLOW MOTION IN WEAK GRAVITATIONAL FIELDS STRESS-ENERGY TENSOR PERFECT FLUID ELECTROMAGNETISM EINSTEIN’S FIELD EQUATIONS NEWTONIAN LIMIT OF GENERAL RELATIVITY LINEARIZED GRAVITY NEWTONIAN LIMIT FAST MOTION PROBLEMS GRAVITATIONAL WAVES DESCRIPTION OF GRAVITATIONAL WAVES PROPAGATION OF GRAVITATIONAL WAVES PHYSICAL PROPERTIES OF GRAVITATIONAL WAVES EFFECTS OF GRAVITATIONAL WAVES ENERGY CARRIED BY A GRAVITATIONAL WAVE PRODUCTION OF GRAVITATIONAL RADIATION FAR- AND NEAR-ZONE SOLUTIONS GRAVITATIONAL RADIATION LUMINOSITY RADIATION REACTION ANGULAR MOMENTUM CARRIED BY GRAVITATIONAL RADIATION DEMONSTRATION: ROTATING TRIAXIAL ELLIPSOID DEMONSTRATION: ORBITING BINARY SYSTEM BEYOND THE NEWTONIAN LIMIT POST-NEWTONIAN SYSTEM OF POINT PARTICLES TWO-BODY POST-NEWTONIAN MOTION HIGHER-ORDER POST-NEWTONIAN WAVEFORMS FOR BINARY INSPIRAL PERTURBATION ABOUT CURVED BACKGROUNDS GRAVITATIONAL WAVES IN COSMOLOGICAL SPACETIMES BLACK HOLE PERTURBATION NUMERICAL RELATIVITY THE ARNOWITT–DESER–MISNER (ADM) FORMALISM COORDINATE CHOICE INITIAL DATA GRAVITATIONAL-WAVE EXTRACTION MATTER NUMERICAL METHODS SOURCES OF GRAVITATIONAL RADIATION SOURCES OF CONTINUOUS GRAVITATIONAL WAVES SOURCES OF GRAVITATIONAL-WAVE BURSTS COALESCING BINARIES GRAVITATIONAL COLLAPSE BURSTS FROM COSMIC STRING CUSPS OTHER BURST SOURCES SOURCES OF A STOCHASTIC GRAVITATIONAL-WAVE BACKGROUND COSMOLOGICAL BACKGROUNDS ASTROPHYSICAL BACKGROUNDS GRAVITATIONAL-WAVE DETECTORS GROUND-BASED LASER INTERFEROMETER DETECTORS NOTES ON OPTICS FABRY–PÉROT CAVITY MICHELSON INTERFEROMETER POWER RECYCLING READOUT FREQUENCY RESPONSE OF THE INITIAL LIGO DETECTOR SENSOR NOISE ENVIRONMENTAL SOURCES OF NOISE CONTROL SYSTEM GRAVITATIONAL-WAVE RESPONSE OF AN INTERFEROMETRIC DETECTOR SECOND GENERATION GROUND-BASED INTERFEROMETERS (AND BEYOND) SPACE-BASED DETECTORS SPACECRAFT TRACKING LISA DECIHERTZ EXPERIMENTS PULSAR TIMING EXPERIMENTS RESONANT MASS DETECTORS GRAVITATIONAL-WAVE DATA ANALYSIS RANDOM PROCESSES POWER SPECTRUM GAUSSIAN NOISE OPTIMAL DETECTION STATISTIC BAYES’S THEOREM MATCHED FILTER UNKNOWN MATCHED FILTER PARAMETERS STATISTICAL PROPERTIES OF THE MATCHED FILTER MATCHED FILTER WITH UNKNOWN ARRIVAL TIME TEMPLATE BANKS OF MATCHED FILTERS PARAMETER ESTIMATION MEASUREMENT ACCURACY SYSTEMATIC ERRORS IN PARAMETER ESTIMATION CON?DENCE INTERVALS DETECTION STATISTICS FOR POORLY MODELLED SIGNALS EXCESS-POWER METHOD DETECTION IN NON-GAUSSIAN NOISE NETWORKS OF GRAVITATIONAL-WAVE DETECTORS CO-LOCATED AND CO-ALIGNED DETECTORS GENERAL DETECTOR NETWORKS TIME-FREQUENCY EXCESS-POWER METHOD FOR A NETWORK OF DETECTORS SKY POSITION LOCALIZATION FOR GRAVITATIONAL-WAVE BURSTS DATA ANALYSIS METHODS FOR CONTINUOUS-WAVE SOURCES SEARCH FOR GRAVITATIONAL WAVES FROM A KNOWN, ISOLATED PULSAR ALL-SKY SEARCHES FOR GRAVITATIONAL WAVES FROM UNKNOWN PULSARS DATA ANALYSIS METHODS FOR GRAVITATIONAL-WAVE BURSTS SEARCHES FOR COALESCING COMPACT BINARY SOURCES SEARCHES FOR POORLY MODELLED BURST SOURCES DATA ANALYSIS METHODS FOR STOCHASTIC SOURCES STOCHASTIC GRAVITATIONAL-WAVE POINT SOURCES EPILOGUE: GRAVITATIONAL-WAVE ASTRONOMY AND ASTROPHYSICS FUNDAMENTAL PHYSICS ASTROPHYSICS