General Relativistic Initial Value Problem
- "A Study of Numerical Techniques for the Initial Value Problem of General Relativity." By M.W. Choptuik. My supervisor's Master's thesis.
- Three-dimensional initial data for the collision of two black holes. By Cook et al., describes three different methods for constructing initial data.
- "The initial values problem and dynamics." By James York, Jr. in Gravitational Radiation, edited by N. Deruelle and T. Piran. A little dated, but has everything one needs.
Gravitational Radiation
- Quasinormal modes of Schwarzschild black holes: Defined and calculated via Laplace transformation, by Nollert et al. Describes the quasinormal modes, as its name states.
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Distorted Apparent Horizons
- Dynamics of black hole apparent horizons, by Anninos et al. Here they produce black holes and distort the apparent horizon using gravitational waves.
- Initial data for general relativity containing a marginally outer trapped torus, by S. Husa. Here is produced a marginally trapped surface in the shape of a torus. Concludes that it will be surrounded by a spherical apparent horizon.
- Event and apparent horizon finders for 3+1 Numerical Relativity, by J Thornburg. A review article, originally invited for living reviews. Documents some of the properties as well.
- Generic tracking of multiple apparent horizons with level flow, by Shoemaker et al. An apparent horizon finder which will find global apparent horizons starting from a somewhat arbitrary guess.
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