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Phys. Rev. D 74, 064003 (2006) [10 pages]

Excising das All: Evolving Maxwell waves beyond scri

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Charles W. Misner
Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA and Albert-Einstein-Institut, Max-Planck-Institut für Gravitationsphysik, Am Mühlenberg 1, D-14476 Potsdam, Germany

James R. van Meter
Laboratory for Gravitational Astrophysics, NASA Goddard Space Flight Center, Greenbelt, Maryland 20771, USA

David R. Fiske
Intelligent Systems Division, Decisive Analytics Corporation, 1235 South Clark Street, Arlington, Virginia 22202, USA and Laboratory for Gravitational Astrophysics, NASA Goddard Space Flight Center, Greenbelt, Maryland 20771, USA

Received 25 March 2006; revised 19 June 2006; published 5 September 2006

We study the numerical propagation of waves through future null infinity in a conformally compactified spacetime. We introduce an artificial cosmological constant, which allows us some control over the causal structure near null infinity. We exploit this freedom to ensure that all light cones are tilted outward in a region near null infinity, which allows us to impose excision-style boundary conditions in our finite-difference code. In this preliminary study we consider electromagnetic waves propagating in a static, conformally compactified spacetime.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.74.064003
DOI:
10.1103/PhysRevD.74.064003
PACS:
04.25.Dm, 02.60.Lj, 41.20.Jb, 98.80.-k