Rotating Anelastic Heterogeneous Earth

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Table of contents

Acknowledgements
Extended Abstract
Résumé Étendu
List of Figures
List of Tables
1 Introduction
2 Detection of Gravitational Waves
2.1 Sources
2.2 Detectors and Frequency Ranges
2.3 Elastic Bodies as Detectors
3 Earth Normal Modes
3.1 Spherical Non-rotating Elastic Isotropic Earth (SNREI)
3.2 Rotating Anelastic Heterogeneous Earth
3.2.1 The Splitting of an Isolated Multiplet
3.2.2 The Mode Coupling
3.2.3 The Splitting Function Coefficients
3.3 Green tensor
4 Normal Modes Excited By Gravitational Waves
4.1 Force Term in Flat Space-Time Approximation
4.2 Terrestrial Reference System and Elastic, Non-rotating Earth ModeL
4.2.1 Metric Perturbation Defined as Plane-wave
4.2.2 Green tensor
4.2.3 Induced spheroidal response
4.2.4 Discussion
4.2.5 Conclusion
4.3 Celestial Reference System and Anelastic, Rotating Earth Model
4.3.1 Rotation matrix from Celestial to Terrestrial Reference System
4.3.2 Metric perturbation for the binary star system
4.3.3 Green tensor
4.3.4 Induced spheroidal response
4.3.5 Discussion
4.3.6 Conclusion
5 Search for Gravitational Waves Using Matched Filtering
5.1 Introduction
5.2 Synthetic tests
5.3 Observations
5.4 Conclusion
6 Uncertainties in Normal Mode Studies
6.1 Introduction
6.2 Synthetic Experiments
6.3 Observations
6.4 Conclusions
7 Conclusion and Perspectives
A Greenwich Sidereal Time
B Matched Filter And Detection Statistics
C Autoregressive Method in Frequency Domain
D Optimal Sequence Estimation
E Phasor Walkout
Bibliography