Well-posedness of the scale-invariant tetrad formulation of the vacuum Einstein equations

Abstract

We show that with a small modification, the formulation of the Einstein equations of Uggla et al, which uses tetrad variables normalised by the expansion, is a mixed symmetric hyperbolic/parabolic system. Well-posedness of the Cauchy problem follows from a standard theorem.

arXiv commentAdded section on the well-posedness of the constraint evolution system

References in corpus (2)

• The past attractor in inhomogeneous cosmology
• Numerical simulations of generic singuarities

Cited by in corpus (5)

• Evolution to a smooth universe in an ekpyrotic contracting phase with w > 1
• Numerical simulations of general gravitational singularities
• A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation
• Spike behavior in the approach to spacetime singularities
• Numerical simulations of stiff fluid gravitational singularities