GLOBAL VERSUS LOCAL ASPECTS OF CRITICAL COLLAPSE

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GLOBAL VERSUS LOCAL ASPECTS OF CRITICAL COLLAPSE

• Work in collaboration with M. Puerrer and S. Husa
• Paris, Nov. 2006

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CHARACTERISTIC EVOLUTION ON COMPACTIFIED SPACETIME
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CRITICAL COLLAPSE SCENARIO
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LOCAL DSS BEHAVIOR MASS SCALING
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EXPONENTIAL DECAY OF MASS FUNCTION
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BONDI COORDINATES
Relation between Bondi and central retarded time
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NEWS IN BONDI TIME
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QUASINORMAL MODES

• Excitations of black holes or compact objects
  radiation boundary conditions
• Linear perturbation on fixed background
• Damped oscillations
• In our case l 0, n 0 mode for scalar
  perturbations on a Schwarzschild black hole
• Period depends linearly on the background mass

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QUASI NORMAL RINGING
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QNM half periods
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TAILS
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BONDI VERSUS SSH MASS
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MASS FUNCTION
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HORIZON PENETRATING CODE
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SUB-CRITICAL EVOLUTION
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SUPER-CRITICAL EVOLUTION
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LATE TIME COLLAPSE
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HORIZON FORMATION