Papers
Authors
Leo Brewin
Abstract
We will present a complete set of equations, in the form of an Einstein-Bianchi
system, that describe the evolution of generic smooth lattices in spacetime. All
20 independent Riemann curvatures will be evolved in parallel with the leg-lengths
of the lattice. We will show that the evolution equations for the curvatures forms
a hyperbolic system and that the associated constraints are preserved. This work
is a generalisation of our previous paper on
the Einstein-Bianchi system for the Schwarzschild spacetime to general 3+1 vacuum
spacetimes.
Reference