Problems of Collapse and Numerical Relativity

Collapse and Gravitation = the Present Situation.- Presupernova Stage.- Type II Supernovae.- The Evolution of Massive Stars.- Combined Effects of Mass Loss and Extended Mixing on the Structure and Evolution of Massive Stars.- Equations of State.- The Equation of State of Hot Dense Matter.- A Thomas-Fermi Equation of State of Hot Dense Matter.- Type I - Supernovae.- Evolution of Accreting White Dwarfs, Type I Supernova Explosion and White Dwarf Collapse.- Collapse and Explosion of Degenerate Stars.- Final Evolution of 8-10 M? Stars.- Type II - Supernovae.- Simplifications in Supernova Theory.- The Physics of Supernova Shocks.- Successful Supernovae, the Anatomy of Shocks: Neutrino Emission and the Adiabatic Index.- Core Collapse Models of Type II Supernova Explosions.- Numerical Relativity and Gravitational Radiation.- The Cauchy Problem for Einstein Equations.- [(2+1) + 1]-Formalism of General Relativity.- {2+2{ Formalism in General Relativity.- Gravitational Radiation From Initial Data.- General Relativistic Hydrodynamics and Accretion Physics: a Numerical Approach.- The Collapse of Rotating Stellar Cores: the Amount of Gravitational Radiation Predicted by Various Numerical Models.- Numerical Simulations of Supersonic Turbulent Flows.- Gamma Ray Bursts.- Gamma ray Bursts: an Observational Overview.- The Theory of Gamma-ray Bursts.- Gamma-ray Bursts: a Model.- Panel Discussion on ?-ray Bursts / Reported by S. Bonazzola.- Conference Summary.- Name Index.