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Intro
Abstract
Contents
Abbreviations & Notation
List of Figures
List of Tables
1 Introduction
1.1 Problem Statement
1.2 Outline
2 Related Work
2.1 Neutron Star Oscillation Modes
2.1.1 Non-rotating Neutron Stars
2.1.2 Rotating Neutron Stars
2.2 Tidal Deformability
2.2.1 Relations Between Tidal Deformability and Oscillation Modes
2.3 Other Universal Relations
2.4 Binary Neutron Stars
2.4.1 Binary Love Relations
2.4.2 Effective Tidal Deformability and Chirp Mass
2.4.3 Tidal Coupling Constant
2.4.4 High Resolution Simulations

2.5 Discussion
3 Theory
3.1 Neutron Star Equilibrium Model and TOV Equations
3.2 Neutron Star Bulk Properties
3.3 Tidal Deformability of Neutron Stars
3.3.1 The Tidal Love Number
3.3.2 Computing the Tidal Love Number
3.3.3 Binary Tidal Deformability
3.4 Quasi-normal Modes of Neutron Stars
3.4.1 Quasi-normal modes of Rotating Neutron Stars
3.5 Goodness of Fit and Error Estimates
4 Methodology
4.1 Data Set of Rotating Neutron Stars
4.2 Relating Tidal Deformability to f-mode Frequency
4.3 Binary Neutron Star Mergers
4.3.1 Post-merger Remnant
5 Results

5.1 Revisiting Existing Universal Relations
5.2 Universal Relations for Single Neutron Stars
5.3 f-mode Relations for BNS Mergers
5.3.1 Co-rotating f-mode
5.3.2 Counter-rotating f-mode
5.4 Combined eta Relation for BNS Mergers
5.5 Direct eta Relation for BNS Mergers
5.5.1 Direction Relation with soft EoSs
5.5.2 Reintroducing stiff EoSs
5.6 Direct Relation with Constraints
6 Discussion & Conclusion
6.1 Future Directions
A Bibliography

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