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Opis

In general relativity, the dynamics of the collapse§of matter under its own weight can be understood in§terms of the competition between gravitational§attraction and repulsive internal forces. The endstate§of such an isolated system is typically either§dispersion to flat space or the collapse to a black§hole. Critical gravitational collapse occurs when the§attractive and repulsive forces are almost in§balance. Near criticality the system exhibits§self-similarity, scaling and universality. The author,§Michael Pürrer, gives an introduction to the§numerical solution of characteristic initial value§problems in general relativity. The critical collapse§of a massless scalar field coupled to Einstein's§equations is numerically investigated in spherical§symmetry from both global and local points of view§using radial compactification. It is found that§self-similarity is observable not just locally but also§from future null infinity. A surprising correlation§between the radiation signal with the period of the§first quasinormal mode is pointed out and an argument§is made that for astrophysical observers the§relevant falloff rate of power-law tails is that of§future null infinity.

Szczegóły książki

• Pełny tytuł: Global versus Local Aspects of Critical Collapse
• Podtytuł: A Numerical Study of Critical Phenomena, Power-Law Tails and Quasinormal Modes in Compactified Spacetime
• Autor: Michael Pürrer
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 204
• EAN: 9783838102061
• ID: 07049501
• Wydawca: Südwestdeutscher Verlag für Hochschulschriften
• Waga: 320 g
• Wymiary: 220 × 150 × 13 mm
• Rok wydania: 2008

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