4 papers · 1 filter
Improved Gauge Conditions for Large Expansion Cosmological Models
Fan Zhang, Lee Lindblom
This study develops a new gauge condition for performing long duration numerical evolutions of Einstein's equation on cosmological spacetimes with non-trivial spatial topologies. T…
Nonlinear Gravitational Wave Interactions in an Expanding Universe
Fan Zhang, Lee Lindblom, Zhi-Peng Peng
This study explores the nonlinear interactions between gravitational waves in an expanding universe. Random ensembles of gravitational waves are evolved numerically in cosmological…
Solving Einstein's Equation Numerically on Manifolds with Non-Orientable Spatial Slices
Fan Zhang, Lee Lindblom
This paper presents solutions to Einstein's equation -- and the numerical methods used to construct them -- that describe simple cosmological models on manifolds with compact non-o…
Solving the Einstein Constraints Numerically on Compact Three-Manifolds Using Hyperbolic Relaxation
Fan Zhang, Lee Lindblom
The effectiveness of the hyperbolic relaxation method for solving the Einstein constraint equations numerically is studied here on a variety of compact orientable three-manifolds.…