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Table of Contents
Intro
Introduction
Foundation of General Relativity
Gravitational Wave Astronomy
Gravitational Waves from Coalescing Binaries
Weak Gravitational Waves, Linearized Theory
Plane Gravitational Waves and Geodesic Deviation
Generation of Gravitational Waves
Circular Binary System
From Analytical Relativity to Numerical Relativity
Post-Newtonian Formalism
Extreme Mass Ratio Inspirals (EMRIs)
Effective-One-Body Approach
Numerical Relativity
Gravitational Waves Data Analysis
Basic Notions
Deterministic GW Signal in Gaussian Noise
F-Statistic
Optimization Methods
Grid-Based Search
Genetic Algorithm
Particle Swarm Optimization
Bayesian Approach
Vegas Algorithm
Markov Chain Monte Carlo (MCMC)
Nested Sampling
Non-Gaussian Noise
Signal-Based Veto: 2 Test
Signal Based Veto: Generic Time-Frequency Test
Statistical Significance of an Event in Non-Gaussian Noise
GW Sources and Observatories
GW Landscape
Response to GW Signal
Searching for Gravitational Wave Signals with Pulsar Timing Array
Gravitational Wave Sources in LIGO Band
Detection of Merging Black Hole Binaries with LIGO Detectors
Detection of Two Merging Neutron Stars
Other GW Sources in LIGO-VIRGO Band
Gravitational Sources in LISA Band
Massive Black Hole Binaries
Extreme Mass Ratio Inspirals
Galactic White Dwarf Binaries
Stellar Mass Binary BHs
Other Sources in the LISA Band
Gravitational Sources in PTA Band
Bibliography.
Introduction
Foundation of General Relativity
Gravitational Wave Astronomy
Gravitational Waves from Coalescing Binaries
Weak Gravitational Waves, Linearized Theory
Plane Gravitational Waves and Geodesic Deviation
Generation of Gravitational Waves
Circular Binary System
From Analytical Relativity to Numerical Relativity
Post-Newtonian Formalism
Extreme Mass Ratio Inspirals (EMRIs)
Effective-One-Body Approach
Numerical Relativity
Gravitational Waves Data Analysis
Basic Notions
Deterministic GW Signal in Gaussian Noise
F-Statistic
Optimization Methods
Grid-Based Search
Genetic Algorithm
Particle Swarm Optimization
Bayesian Approach
Vegas Algorithm
Markov Chain Monte Carlo (MCMC)
Nested Sampling
Non-Gaussian Noise
Signal-Based Veto: 2 Test
Signal Based Veto: Generic Time-Frequency Test
Statistical Significance of an Event in Non-Gaussian Noise
GW Sources and Observatories
GW Landscape
Response to GW Signal
Searching for Gravitational Wave Signals with Pulsar Timing Array
Gravitational Wave Sources in LIGO Band
Detection of Merging Black Hole Binaries with LIGO Detectors
Detection of Two Merging Neutron Stars
Other GW Sources in LIGO-VIRGO Band
Gravitational Sources in LISA Band
Massive Black Hole Binaries
Extreme Mass Ratio Inspirals
Galactic White Dwarf Binaries
Stellar Mass Binary BHs
Other Sources in the LISA Band
Gravitational Sources in PTA Band
Bibliography.