A Method for Calculating the Structure of (Singular) Spacetimes in the Large

Details A Method for Calculating the Structure of (Singular) Spacetimes in the Large A Method for Calculating the Structure of (Singular) Spacetimes in the Large

1994-09-14

arxiv.org/abs/gr-qc/9409029v1

Phys.Rev.D53:701-721,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, AGG21

Scientific paper

10.1103/PhysRevD.53.701

A formalism and its numerical implementation is presented which allows to calculate quantities determining the spacetime structure in the large directly. This is achieved by conformal techniques by which future null infinity ($\Scri{}^+$) and future timelike infinity ($i^+$) are mapped to grid points on the numerical grid. The determination of the causal structure of singularities, the localization of event horizons, the extraction of radiation, and the avoidance of unphysical reflections at the outer boundary of the grid, are demonstrated with calculations of spherically symmetric models with a scalar field as matter and radiation model.

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