Constraint violation in free evolution schemes: Comparing the BSSNOK formulation with a conformal decomposition of the Z4 formulation

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.084003· OSTI ID:21409591

Bernuzzi, Sebastiano; Hilditch, David ^[1]

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1. Theoretical Physics Institute, University of Jena, 07743 Jena (Germany)

We compare numerical evolutions performed with the BSSNOK formulation and a conformal decomposition of a Z4-like formulation of general relativity. The important difference between the two formulations is that the Z4 formulation has a propagating Hamiltonian constraint, whereas BSSNOK has a zero-speed characteristic variable in the constraint subsystem. In spherical symmetry we evolve both puncture and neutron star initial data. We demonstrate that the propagating nature of the Z4 constraints leads to results that compare favorably with BSSNOK evolutions, especially when matter is present in the spacetime. From the point of view of implementation the new system is a simple modification of BSSNOK.

• OSTI ID: 21409591
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 8; Other Information: DOI: 10.1103/PhysRevD.81.084003; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPARATIVE EVALUATIONS
DECOMPOSITION
GENERAL RELATIVITY THEORY
HAMILTONIANS
IMPLEMENTATION
MODIFICATIONS
NEUTRON STARS
SPACE-TIME
SPHERICAL CONFIGURATION
SYMMETRY
VELOCITY
CHEMICAL REACTIONS
CONFIGURATION
EVALUATION
FIELD THEORIES
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
RELATIVITY THEORY
STARS