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Yoneda Lab
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A lab that studies general relativity using mathematics and computers.
AboutAbout the lab
Solving the equations of relativity with mathematics.
Yoneda Lab studies general relativity from a mathematical perspective.
Using tensor algebra and differential geometry to describe relativity, the lab explores new theoretical developments.
In particular, it works on the initial value problem for the Einstein equations and the stability of numerical relativity.
Key terms
- Differential geometry
- A field of mathematics that uses calculus to study the properties of curved shapes such as curves and surfaces
- Einstein equations
- The fundamental equations of general relativity, expressing the relationship between the strength of gravity and the way time and space are curved
- Numerical relativity
- A field that solves the Einstein equations numerically on computers to simulate astronomical phenomena and more
ResearchResearch themes
Yoneda Lab describes relativity mathematically using tensor algebra and differential geometry, and studies new theoretical developments. In particular, it works on the following three topics related to the Einstein equations.
*Illustrative imageWell-posedness of the initial value problem
The lab studies whether initial value and boundary value problems for the Einstein equations can be solved in a mathematically rigorous way.
*Illustrative imageHyperbolic formulations of the equations
The lab studies how to rewrite the Einstein equations in a hyperbolic form that is suited to numerical computation and analysis.
*Illustrative imageStability of numerical relativity
The lab studies methods that allow computations to proceed stably when the Einstein equations are solved on a computer.
MembersFaculty
- ProfessorGen Yoneda
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Maya-NR-Simulation-with-Waveform-frame788” Deborah Ferguson ほか、
Georgia Tech MAYA Collaboration / CC BY-SA 4.0 (cropped) - Well-posedness of the initial value problem: “Dominoes falling” Kurt:S / CC BY 2.0 (cropped)
- Hyperbolic formulations of the equations: “Tangram set 00” Nevit Dilmen / CC BY-SA 3.0 (cropped)
- Stability of numerical relativity: “Wakayama003” Kumiko Korezumi / CC BY-SA 4.0 (cropped)
- Related lab (Usuba Lab): “CMAP - Centre de Mathématiques Appliquées de l'Ecole polytechnique” Jérémy Barande / CC BY-SA 3.0 (cropped)
- Related lab (Ikeda Lab): “Mathematisches-Gipsmodell.Fläche3.Ordnung - Kopie” Museopedia / CC BY-SA 4.0 (cropped)
- Related lab (Ogawa Lab): “Chladni plate 14” Exhibit made by Estes Objethos Atelier, photo by Rodrigo Tetsuo Argenton / CC BY-SA 4.0 (cropped)
- Related lab (Ozaki Lab): “Minoritenkirche rose window - Vienna” MrPanyGoff / CC BY-SA 3.0 (cropped)
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