Neutron Stars

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Table of contents

I Introduction 
1 From star formation to their death: the birth of compact objects
1.1 Core-collapse Supernovae
1.2 Neutron Stars
1.3 Neutron Star Mergers
2 State of the Art
II Modeling Hot Neutron Stars 
3 Theory of Relativistic Stars
3.1 The Einstein equations
3.2 3+1 formulation of Einstein equations
3.3 Stationary, axisymmetric and asymptotically flat circular spacetimes
3.4 The equations of relativistic rotating stars
3.5 Global quantities
4 Numerical Solutions of Relativistic Hot Stars
4.1 The BGSM scheme extended for hot EoS
4.2 Code implementation
4.3 The relavitistic ideal gas
4.4 Test results
4.5 Summary
5 The Nuclear Equation of State
5.1 Statistical model for inhomogeneous matter
5.2 Relativistic mean field model for homogeneous matter
5.3 Compatibility with constraints
6 A Proto-Neutron Star Model 87
6.1 Rigid rotation
6.2 Differential rotation
III Conclusions and Future Work 
Bibliography