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Dr. Thomas Müller
Diplom-Physiker
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| Visualisierungsinstitut der Universität Stuttgart (VISUS) |
| Allmandring 19 |
| 70569 Stuttgart |
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| Tel: +49 (0)711 685 88635 |
| Fax: +49 (0)711 685 88610 |
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| E-mail: Thomas.Muellervis.uni-stuttgart.de |
| Raum: VISUS 00.005 |
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Special-relativistic visualization
General-relativistic visualization
Applications for physics education
Java application(s):
Qt applications:
WebGL applications:
Other visualizations...
Mathematica demonstrations:
Clicking on the thumbnail brings you to the Mathematica Demonstrations web site.
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Uniform Acceleration within de Sitter Spacetime
... based on the article by S. Boblest, T. Müller, and G. Wunner,
Twin Paradox in de Sitter Spacetime. |
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Anomalies for Planetary Motion |
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Relativistic Aberration and Doppler Shift |
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Geodesic Precession on a Timelike Circular Orbit around a Schwarzschild Black Hole
... based on the article by T. Müller and S. Boblest,
Visualizing circular motion around a Schwarzschild black hole. |
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Geodesics in the Morris-Thorne Wormhole Spacetime
... based on the article by M. S. Morris and K. S. Thorne,
Wormholes in Spacetime and Their Use for Interstellar Travel: A Tool for Teaching General Relativity,
and the article by Müller,
Exact geometric optics in a Morris-Thorne wormhole spacetime. |
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Einstein Rings from Light Flash at Black Hole
... based on the article by Müller,
Einstein rings as a tool for estimating distances and the mass of a Schwarzschild black hole. |
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Properties of Kerr Spacetime
... based on the article by J. M. Bardeen, W. H. Press, and S. A. Teukolsky,
Rotating Black Holes: Locally Nonrotating Frames, Energy Extraction, and Scalar Synchrotron Radiation. |
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Parameters for Plotting a Quartic
... based on the article by R.W.D. Nickalls,
The Quartic Equation: Invariants and Euler's Solution Revealed. |
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Uniform Acceleration within Special Relativity
... based on the article by Müller et al.,
A trip to the end of the universe and the twin paradox.
There is also a JAVA applet available. |
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Parameters for Plotting a Cubic Polynomial
Mathematica notebook with input fields.
... based on the article by R.W.D. Nickalls,
A new approach to solving the cubic:
Cardan's solution revealed. |
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The Alcubierre Warp Drive
... based on the article by M. Alcubierre,
The warp drive: hyper-fast travel within general relativity. |
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Current Theses
- Masterarbeit (Physik): Armin Krauss, 2013
Interaktive Visualisierung relativistischer Effekte in Schwarzloch Raumzeiten
Closed Theses
- Studienarbeit (Informatik): Sebastian Konle, 2012
Visualisierung morphologischer Strukturen aus 3D Höhenfeldern
- Diplomarbeit (Physik): Andreas Wünsch, 2011
Visualisierung licht- und zeitartiger Geodäten um Multi-Schwarzloch-Systeme
- Diplomarbeit (Physik): Felix Beslmeisl, 2010
Vergleichende Untersuchung licht- und zeitartiger Geodäten in Petrov-Typ-D Vakuum-Rauzeiten
- Diplomarbeit (Physik): Daniel Kuchelmeister, 2009
GPU-basiertes 4D-Raytracing in der Allgemeinen Relativitätstheorie
- Diplomarbeit (Physik): Heiko Munz, 2009
Visualisierung von Gravitationswellen in der Allgemeinen Relativitätstheorie
- Diplomarbeit (Physik): Sebastian Boblest, 2009
Visualisierung in gekrümmten Raumzeiten für gleichmässig beschleunigte Beobachter
- Diplomarbeit (Physik): Andreas Lemmer, 2009
Untersuchung und Visualisierung der Warp-Metrik
- Diplomarbeit (Informatik): Nicole Lin, 2008
Relativistic Visualization of Stars for High-resolution Displays
- Diplomarbeit (Physik): Michael Zatloukal, 2005
Visualisierung in der Kerr-Raumzeit
- Diplomarbeit (Physik): Oliver Fechtig, 2004
Physikalische Aspekte und Visualisierung von stationären Wurmlöchern
- Diplomarbeit (Physik): Frank Grave, 2004
Visualisierungen zum Gravitationskollaps und Wellenfronten in der Allgemeinen Relativitätstheorie
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2013
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A. Wünsch, T. Müller, D. Weiskopf, G. Wunner
Circular orbits in the extreme Reissner-Nordstrøm dihole metric
Physical Review D 87, 024007 (2013).
DOI: 10.1103/PhysRevD.87.024007
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T. Müller, J. Frauendiener
Charged particles constrained to a curved surface
European Journal of Physics 34, 147-160 (2013).
DOI: 10.1088/0143-0807/34/1/147
Preprint: arXiv:1209.4184 [physics.class-ph]
Details and the software can be found here
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2012
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G.M. Machado, F. Sadlo, T. Müller, D. Müller, T. Ertl
Visualizing Solar Dynamics Data
Proceedings of International Workshop on Vision, Modeling and Visualization (VMV) 2012, to appear, 2012
Available as PDF
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T. Müller and J. Frauendiener
Interactive visualization of a thin disc around a Schwarzschild black hole
European Journal of Physics 33, 955-963 (2012).
DOI:10.1088/0143-0807/33/4/955
Preprint: arXiv:1206.4259v1 [gr-qc]
Details and the software can be found here.
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D. Kuchelmeister, T. Müller, M. Ament, Günter Wunner, Daniel Weiskopf
GPU-based four-dimensional general-relativistic ray tracing
Computer Physics Communications 183, 2282-2290 (2012).
DOI: 10.1016/j.cpc.2012.04.030
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T. Müller and D. Weiskopf
Detailed study of null and time-like geodesics in the Alcubierre Warp spacetime
General Relativity and Gravitation 44, 509-533 (2012).
DOI: 10.1007/s10714-011-1289-0
High resolution images, several movies, and the interactive application can be found here.
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2011
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T. Müller and D. Weiskopf
General-Relativistic Visualization
Computing in Science & Engineering 13(6), 64-71 (2011).
DOI: 10.1109/MCSE.2011.105
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T. Müller and D. Weiskopf
Special-Relativistic Visualization
Computing in Science & Engineering 13(4), 85-93 (2011).
DOI: 10.1109/MCSE.2011.68
Erratum: Fig.8 and p.87 ... "with 50 percent of the speed of light".
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S. Boblest, T. Müller, G. Wunner
Twin Paradox in de Sitter Spacetime
European Journal of Physics 32, 1117-1142 (2011)
DOI: 10.1088/0143-0807/32/5/001
Preprint: arXiv:1009.3427 [gr-qc]
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T. Müller, J. Frauendiener
Studying null- and time-like geodesics in the classroom
European Journal of Physics 32, 747-759 (2011)
DOI: 10.1088/0143-0807/32/3/011 [bib]
Preprint: arXiv:1105.0109v1 [physics.ed-ph]
Details and the software can be found here.
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T. Müller
GeodesicViewer - A tool for exploring geodesics in the theory of relativity (New Version Announcement)
Computer Physics Communications 182, 1382-1383 (2011)
DOI: 10.1016/j.cpc.2011.02.007
Details and the software can be found here [bib].
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T. Müller
Motion4D-library extended (New Version Announcement)
Computer Physics Communications 182, 1386-1388 (2011)
DOI: 10.1016/j.cpc.2011.02.009
Details and the software can be found here [bib].
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T. Müller, S. Boblest
Visualizing circular motion around a Schwarzschild black hole
American Journal of Physics 79, 63-73 (2011).
DOI: 10.1119/1.3492722 [bib]
Some more information can be found here.
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2010
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T. Müller, S. Grottel, and D. Weiskopf
Special Relativistic Visualization by Local Ray Tracing
IEEE Transactions on Visualization and Computer Graphics 16(6), 1243-1250 (2010).
DOI: 10.1109/TVCG.2010.196 [bib]
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T. Müller, D. Weiskopf
Distortion of the stellar sky by a Schwarzschild black hole
American Journal of Physics 78, 204-214 (2010).
DOI: 10.1119/1.3258282 [bib]
Some more information can be found here.
Announcement in New Scientist, physorg, spektrumdirekt
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T. Müller, F. Grave
An updated version of the Motion4D library (New Version Announcement)
Computer Physics Communications 181, 703 (2010)
DOI: 10.1016/j.cpc.2009.10.021 [bib]
Some more information can be found here.
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T. Müller, F. Grave
GeodesicViewer - A tool for exploring geodesics in the theory of relativity
Computer Physics Communications 181, 413-419 (2010)
DOI: 10.1016/j.cpc.2009.10.010 [bib]
Some more information can be found here.
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2009
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Frank Grave, Michael Buser, Thomas Müller, Günter Wunner, Wolfgang P. Schleich
The Gödel universe: Exact geometrical optics and analytical investigations on motion
Physical Review D 80, 103002 (2009).
DOI: 10.1103/PhysRevD.80.103002 [bib]
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T. Müller, F. Grave
Motion4D - A library for lightrays and timelike worldlines in the theory of relativity
Computer Physics Communications 180, 2355-2360 (2009)
DOI: 10.1016/j.cpc.2009.07.014 [bib]
Some more information can be found here.
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T. Müller, F. Grave
Catalogue of Spacetimes
arXiv:0904.4184v2 [gr-qc] [bib]
Some more information can be found here.
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F. Grave, T. Müller, C. Dachsbacher, G. Wunner
The Gödel Engine - An interactive approach to visualization in general relativity.
Computer Graphics Forum (Proc. Eurovis 09), Vol. 28, No. 3, pp. 807--814
DOI: 10.1111/j.1467-8659.2009.01470.x [bib]
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N. Hamaus, T. Paumard, T. Müller, S. Gillessen, F. Eisenhauer, S. Trippe, and R. Genzel
Prospects for testing the nature of Sgr A*'s NIR flares on the basis of current VLT- and future VLTI-observations
The Astrophysical Journal 692, 902-916 (2009).
DOI: 10.1088/0004-637X/692/1/902 [bib]
Preprint: arXiv:0810.4947
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2008
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T. Müller
Analytic observation of a star orbiting a Schwarzschild black hole
General Relativity and Gravitation 41, 541-558 (2009).
DOI: 10.1007/s10714-008-0683-8 (online first, 2008) [bib]
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T. Müller
Einstein rings as a tool for estimating distances and the mass of a Schwarzschild black hole
Physical Review D 77, 124042 (2008)
DOI: 10.1103/PhysRevD.77.124042 [bib]
Reprint: PDF
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T. Müller
Falling into a Schwarzschild black hole - Geometric aspects
General Relativity and Gravitation 40, 2185-2199 (2008).
DOI: 10.1007/s10714-008-0623-7 [bib]
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T. Müller
Exact geometric optics in a Morris-Thorne wormhole spacetime
Physical Review D 77, 044043 (2008).
DOI: 10.1103/PhysRevD.77.044043 [bib]
Reprint: PDF
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T. Müller, A. King, D. Adis
A trip to the end of the universe and the twin paradox
American Journal of Physics 76, 360-373 (2008).
DOI: 10.1119/1.2830528 [bib]
preprint: arXiv:physics/0612126
The JAVA applets and a short introduction can be found here.
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H. Ruder, D. Weiskopf, H.-P. Nollert and T. Müller
How computers can help us in creating an intuitive access to relativity
New Journal of Physics 10, 125014 (2008).
DOI: 10.1088/1367-2630/10/12/125014 [bib]
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2007
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F. Grave, T. Müller, G. Wunner, T. Ertl, M. Buser, W. Schleich
Visualization of the Gödel Spacetime.
Proceedings of the 4th High-End Visualization Workshop, 2007 [bib]
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2006
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H. Ruder, H.-P. Nollert, T. Müller, M. Borchers
Visualization of relativistic effects
Proceedings of the 11th Marcel Grossmann Meeting on General Relativity, 2006 [bib]
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T. Paumard, T. Müller, R. Genzel, F. Eisenhauer and S. Gillessen
Observing the flares of Sgr A* with the Very Large Telescope Interferometer
Proceedings of the 11th Marcel Grossmann Meeting on General Relativity, 2006 [bib]
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F. Grave, F. Frutos-Alfaro, T. Müller, D. Adis
Wave fronts in General Relativity Theory
Proceedings of the 11th Marcel Grossmann Meeting on General Relativity, 2006 [bib]
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D.Weiskopf,
Sonja Bär,
Marc Borchers,
Thomas Ertl,
Martin Falk,
Oliver Fechtig,
Regine Frank,
Frank Grave,
Peter Jezler,
Andreas King,
Ute Kraus,
Thomas Müller,
Hans-Peter Nollert,
Isabel Rica Mendez,
Hanns Ruder,
Tobias Schafhitzel,
Corvin Zahn,
Michael Zatloukal.
Explanatory and Illustrative Visualization of Special and General Relativity.
In IEEE Transactions on Visualization and Computer Graphics 12, 522-534 (2006) [bib]
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2005
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D. Weiskopf,
Marc Borchers,
Thomas Ertl,
Martin Falk,
Oliver Fechtig,
Regine Frank,
Frank Grave,
Andreas King,
Ute Kraus,
Thomas Müller,
Hans-Peter Nollert,
Isabel Rica Mendez,
Hanns Ruder,
Tobias Schafhitzel,
Sonja Schär,
Corvin Zahn,
Michael Zatloukal.
Visualization in the Einstein Year 2005: A Case Study on Explanatory and Illustrative Visualization of Relativity and Astrophysics.
IEEE Visualization 2005 Proceedings, October 2005 [bib]
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T. Paumard, G. Perrin, A. Eckart, R. Genzel, P. L'ena2, R. Schödel, F. Eisenhauer, T. Müller, S. Gillessen
Scientific Prospects for VLTI in the Galactic Centre: Getting to the Schwarzschild Radius
Astron. Nachr. 326 (2005), 568 [bib]
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2004
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T. Müller.
Visual appearance of a Morris-Thorne-Wormhole.
American Journal of Physics 72, 1045-1050 (2004).
DOI: 10.1119/1.1758220 [bib]
Additional material: EPAPS: E-AJPIAS-72-014407
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