ADMConstraints

Gabrielle Allen

Date

Abstract

Calculate the values of the Hamiltonian and Momentum Constraints on the computational grid for output.

1 Physics

This analysis thorn calculates the values of the Hamiltonian and momentum constraint equations on the computational grid during a spacetime evolution. The Hamiltonian Constraint (grid function: ham) is given by

H = R KjiK ij + trK2 16πρ (1)

The Momentum Constraints (grid functions momx, momy, momz) are given by

Mi = jKij itrK 8πSi (2)

where

Si = gianbTab = g ianbT ab = 1 α(Ti0 βjT ij) (3)

2 Comments