In this simulation it is shown what happens to a natural scene when one of these objects where a Black Hole. The bending of the light rays around a `soccerball-like' Black Hole makes normally invisible parts of the involved objects to come into view. Basic principles of gravitational lensing are demonstrated on ordinary objects and the meaning of the Einstein ring is explained also.
Published in:
F.W.Hehl, R.A.Puntigam, H.Ruder (Eds.) Relativity and Scientific Computing Computer Algebra, Numerics, Visualization ISBN 3-540-60361-1 Springer Verlag Berlin Heidelberg New York | |
PM 5/97 (Peter Moosleitners interessantes Magazin), `Relativitätstheorie: Jetzt macht der Computer sie sichtbar' |
The Tolman dust metric with cosmological constant was used to model a spherically symmetric inhomogenious universe. Small density perturbations at the beginning of the matter dominated phase are traced during their evolution within the expansion of the universe and their final properties are compared in the standard model (using an Hubble constant of 50km/s/Mpc, zero cosmological constant and critical density) to the world model by Wolfgang Priester et.al.
An interactive interface for computing the Friedmann-Lemaitre universe and the inhomogenius dust cosmos is also available here.
For an intuitive insight into the curvature of space due to the gravitational field, it is suitable and impressive to see the effects of curved space act on well known objects. This simulation series was made to demonstrate the visual effect that would occur if Earth became a Black Hole from one day to another. Special attention was given to demonstrate the properties of the Photon Orbit, where light rays may orbit the central on an perfect circle.
Numerical solutions cannot be investigated on just `a sheet of paper' like analytical solutions. These modern solution methods thus require three and four-dimensional visualization techniques.
This is the goal of the ART project,
a collaboration project between ZIB and AEI.
The first grazing collision of two black holes
was performed in June 1999 at NCSA.
This dataset showed very clear structures and its visualizations were
spreading around soon. The central part displays the color-coded
horizons.
The original version used white/yellow/red colors for depicting
high/medium/low intensity of the gravitational radiation around. Some years
later, I made a more dynamically looking version for the
magazine GEO which used a colormap with shades ranging from
red via yellow to green and blue. This image and its variants
is now used in many places.
The efforts of this 1999 visualization marathon are described in SuW Special 6 Gravitation (German). |
SuW Special 6 Gravitation |
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Gravity from the Ground Up Bernard Schutz |
The Future of Theoretical Physics an Cosmology Celebrating Stephen Hawking's 60th Birthday |
December 2000 Issue |
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Access Magazine 1999 NCSA/Alliance |
Max Planck Research MPG 1999 |
Naturwissenschaftliche Rundschau 11/2005 |
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LIGO Folder |
Communications of the ACM Vol. 46, No. 11, Nov 2001 |
Science & Vie No. 1011, Nov 2002 |
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IEEE Computer Dec. 1999 |
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Timelike Geodesics in the Kerr Spacetime.
Trajectories of test particles in the vicinity of rotating
black hole yield aesthetically pleasing regular pattern.
The computation is based on the CACTUS
thorn TimeGeodesics, developed by Miguel Alcubierre.
It has been equipped with an network interface to allow remote
visualization.
The visual results are appealing to scientists as well as to artists. |
Visualization and Processing of Tensor Fields Joachim Weickert, Hans Hagen; Springer Verlag |
Einstein Opera by Phase 7 |
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Nancy Walker |
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Das Einstein-Fenster Markus Poessl |
Der Stern von Bethlehem in astronomischer Sicht Konradin Ferrari d'Occhieppo |