Hyperbolic slicings of spacetime: singularity avoidance and gauge shocks

  title={Hyperbolic slicings of spacetime: singularity avoidance and gauge shocks},
  author={Miguel Alcubierre},
  journal={Classical and Quantum Gravity},
  • M. Alcubierre
  • Published 15 October 2002
  • Mathematics
  • Classical and Quantum Gravity
I study the Bona–Masso family of hyperbolic slicing conditions, considering in particular its properties when approaching two different types of singularities: focusing singularities and gauge shocks. For focusing singularities, I extend the original analysis of Bona et al and show that both marginal and strong singularity avoidance can be obtained for certain types of behaviour of the slicing condition as the lapse approaches zero. For the case of gauge shocks, I rederive a condition found… 
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