Cauchy boundaries in linearized gravitational theory

Details Cauchy boundaries in linearized gravitational theory Cauchy boundaries in linearized gravitational theory

1999-12-08

arxiv.org/abs/gr-qc/9912030v2

Phys.Rev. D62 (2000) 104006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages including 3 figures and 2 tables, revtex

Scientific paper

10.1103/PhysRevD.62.104006

We investigate the numerical stability of Cauchy evolution of linearized gravitational theory in a 3-dimensional bounded domain. Criteria of robust stability are proposed, developed into a testbed and used to study various evolution-boundary algorithms. We construct a standard explicit finite difference code which solves the unconstrained linearized Einstein equations in the 3+1 formulation and measure its stability properties under Dirichlet, Neumann and Sommerfeld boundary conditions. We demonstrate the robust stability of a specific evolution-boundary algorithm under random constraint violating initial data and random boundary data.

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