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Table of Contents
Intro
Preface
Contents
Units and Acronyms
1 Introduction
1.1 Overview
References
2 Prologue: Gravitational Waves in Classical General Relativity
2.1 General Relativity
2.2 Linearised Gravity
2.3 Gravitational Waves in Minkowski Background
2.4 Interaction of Gravitational Waves with Test Masses
2.5 Polarisations of Gravitons in Theories Beyond Einstein's Gravity
2.6 Generation of Gravitational Waves
2.7 Energy Flux of Gravitational Waves
2.8 Waveforms from Compact Binaries
2.9 Energy Radiated by Compact Binary Stars
2.10 Chirp Signal of Coalescing Binaries
2.11 Post-newtonian Corrections to Binary Orbit
2.12 Gravitational Waveform from Sources at Cosmological Distances
References
3 Field Theory of Linearised Gravity
3.1 Field Theory of Linearised Gravity
3.2 Graviton-Matter Coupling
3.3 Gauge Invariance and Conservation of Stress Tensor
3.4 Newtonian Gravity
3.5 Non-relativistic Effective Theory of Gravity: NRGR
3.6 First Post-newtonian Correction: Einstein-Infeld-Hoffmann Action
3.7 Potentials and Waves
3.8 Quantum Gravity Corrections to Newtonian Potential
3.9 Massive Gravity Theories
3.10 Bending of Light
3.11 Eikonal Method
3.12 Gravitational Waveform from Scattering Amplitude
3.13 Gravitational Radiation: Fermi's Golden Rule
3.14 Gravitational Radiation: Imaginary Part of Second Order Action
References
4 Gravitational Wave Radiation from Compact Binaries
4.1 Introduction
4.2 Gravitational Wave Radiation by Binaries in Circular Orbit
4.3 Gravitational Wave Radiation from Compact Binary Stars in Elliptical Orbits
4.4 Waveforms of Elliptical Orbit Binaries
4.5 Gravitational Radiation from Binaries in the Non-relativistic Effective Theory
4.6 Multipole Expansion
4.7 Radiation of Ultralight-Scalars from Binary Stars
4.8 Vector Boson Radiation by Neutron Star Binaries
4.9 Gravitational Waveforms from Coalescing Binaries
4.10 Gravitational Waves from Hyperbolic Orbits
4.11 Waveform of Gravitational Waves from Hyperbolic Encounters
4.12 Memory Effect in Hyperbolic Orbits
References
5 Gravitational Memory and Soft-Graviton Theorem
5.1 Introduction
5.2 Soft-Graviton Amplitudes
5.3 Soft-Graviton Amplitudes in the NLO
5.4 Memory Effect from Soft-Graviton Amplitudes
5.5 Gravitational Energy Radiated in Particle Collisions
5.5.1 Graviton Emission from Non-relativistic Particle Scattering
5.5.2 Graviton Emission from Massless Particle Collisions
5.6 Gravitational Wave from Sudden Impulse
5.7 Gravitational Waves from Relativistic Bremsstrahlung
5.8 Non-linear Memory
5.9 Non-linear Memory from Binary Orbits
5.10 Gravitational Wave Signal from Supernova Neutrino Burst
References
6 Backreaction and Dissipation: The In-In Formalism
6.1 Introduction
Preface
Contents
Units and Acronyms
1 Introduction
1.1 Overview
References
2 Prologue: Gravitational Waves in Classical General Relativity
2.1 General Relativity
2.2 Linearised Gravity
2.3 Gravitational Waves in Minkowski Background
2.4 Interaction of Gravitational Waves with Test Masses
2.5 Polarisations of Gravitons in Theories Beyond Einstein's Gravity
2.6 Generation of Gravitational Waves
2.7 Energy Flux of Gravitational Waves
2.8 Waveforms from Compact Binaries
2.9 Energy Radiated by Compact Binary Stars
2.10 Chirp Signal of Coalescing Binaries
2.11 Post-newtonian Corrections to Binary Orbit
2.12 Gravitational Waveform from Sources at Cosmological Distances
References
3 Field Theory of Linearised Gravity
3.1 Field Theory of Linearised Gravity
3.2 Graviton-Matter Coupling
3.3 Gauge Invariance and Conservation of Stress Tensor
3.4 Newtonian Gravity
3.5 Non-relativistic Effective Theory of Gravity: NRGR
3.6 First Post-newtonian Correction: Einstein-Infeld-Hoffmann Action
3.7 Potentials and Waves
3.8 Quantum Gravity Corrections to Newtonian Potential
3.9 Massive Gravity Theories
3.10 Bending of Light
3.11 Eikonal Method
3.12 Gravitational Waveform from Scattering Amplitude
3.13 Gravitational Radiation: Fermi's Golden Rule
3.14 Gravitational Radiation: Imaginary Part of Second Order Action
References
4 Gravitational Wave Radiation from Compact Binaries
4.1 Introduction
4.2 Gravitational Wave Radiation by Binaries in Circular Orbit
4.3 Gravitational Wave Radiation from Compact Binary Stars in Elliptical Orbits
4.4 Waveforms of Elliptical Orbit Binaries
4.5 Gravitational Radiation from Binaries in the Non-relativistic Effective Theory
4.6 Multipole Expansion
4.7 Radiation of Ultralight-Scalars from Binary Stars
4.8 Vector Boson Radiation by Neutron Star Binaries
4.9 Gravitational Waveforms from Coalescing Binaries
4.10 Gravitational Waves from Hyperbolic Orbits
4.11 Waveform of Gravitational Waves from Hyperbolic Encounters
4.12 Memory Effect in Hyperbolic Orbits
References
5 Gravitational Memory and Soft-Graviton Theorem
5.1 Introduction
5.2 Soft-Graviton Amplitudes
5.3 Soft-Graviton Amplitudes in the NLO
5.4 Memory Effect from Soft-Graviton Amplitudes
5.5 Gravitational Energy Radiated in Particle Collisions
5.5.1 Graviton Emission from Non-relativistic Particle Scattering
5.5.2 Graviton Emission from Massless Particle Collisions
5.6 Gravitational Wave from Sudden Impulse
5.7 Gravitational Waves from Relativistic Bremsstrahlung
5.8 Non-linear Memory
5.9 Non-linear Memory from Binary Orbits
5.10 Gravitational Wave Signal from Supernova Neutrino Burst
References
6 Backreaction and Dissipation: The In-In Formalism
6.1 Introduction