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Mathematical Physics, General Relativity, and Cosmology Lab
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This lab uses geometry in general relativity to investigate black holes and the mysteries of the universe.
AboutAbout the lab
Approaching the mysteries of the universe through geometry
Prof. Shiromizu studies general relativity and cosmology.
Prof. Shiromizu applies geometry to relativity, particle physics, and cosmology, and proposes original and universal insights and formulations.
The professor takes a distinctive strategy of approaching, through geometry, the mysteries of the universe revealed by observation.
The lab accepts students for senior thesis research in the Department of Mathematics, School of Science, in principle every other year.
Key terms
- general relativity
- Einstein's theory that explains gravity as the curvature of time and space (spacetime)
- positive mass theorem
- A theorem stating that, under suitable conditions, the mass (energy) of a spacetime is never negative, and is zero only for flat spacetime
- loosely trapped surface
- A surface proposed as a substitute for a black hole, lying outside it and reflecting its features. Its area has an upper bound
NewsLab news
View More ↗ResearchResearch themes
The lab applies geometry to relativity, particle physics, and cosmology, and proposes original and universal insights and formulations. Its past research covers black hole spacetimes, the asymptotic structure of spacetime, higher-dimensional cosmological models, and topics related to the positive mass theorem.
*Illustrative imageMathematical Formulation of Strong Gravitational Fields
Because black holes themselves cannot be observed, the lab proposed the "loosely trapped surface," a surface lying outside a black hole that reflects its features, and showed that its area has an upper bound. Together with collaborators, it also proposed 2-dimensional surfaces that probe the gravitational field (gravity-probing surfaces) and proved inequalities for their area.
*Illustrative imageBlack Holes and Geometry
The lab uses geometry to study black holes, one of the most fascinating objects predicted by relativity. It also works on higher-dimensional black holes, which are fundamental objects in superstring theory.
*Illustrative imagePositive Mass Theorem and Gravitational Theories
The positive mass theorem states that the lowest-energy state is flat spacetime, with neither gravity nor matter. The lab applies this theorem in various settings and explores whether it can serve as a guiding principle for narrowing down models of gravitational theory.
MembersFaculty
Prof. Shiromizu's lab consists of faculty members, students in the doctoral, master's, and undergraduate programs, and research students.As of 2026
- ProfessorTetsuya Shiromizu
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: “Orbits of stars around black hole at the heart of the Milky Way (eso1825d)” ESO/L. Calçada/spaceengine.org / CC BY 4.0 (cropped)
- Mathematical Formulation of Strong Gravitational Fields: “Black hole - Messier 87 crop max res” Event Horizon Telescope, uploader cropped and converted TIF to JPG / CC BY 4.0 (cropped)
- Black Holes and Geometry: “Black Hole with Accretion Disk Visualization (SVS -Approaching a black hole-HD 00001 print)” NASA's Scientific Visualization Studio - Caltech-IPAC/Robert Hurt, Caltech-IPAC/Keith Miller, NASA/JPL/Chelsea Gohd, Global Science and Technology, Inc./Ella Kaplan, NASA/GSFC/Mark SubbaRao / Public domain (cropped)
- Positive Mass Theorem and Gravitational Theories: “Spacetime curvature - Cropped” User:Johnstone / CC BY-SA 3.0 (cropped)
- Related lab (Izumi Lab): “Lensed Galaxy Arc in Galaxy Cluster RCS” NASA Hubble / CC BY 2.0 (cropped)
- Related lab (Quantum Information Theory, Theoretical Computer Science, and Algorithms Lab): “Google Sycamore Chip 001” Google (https://www.youtube.com/channel/UCK8sQmJBp8GCxrOtXWBpyEA) / CC BY 3.0 (cropped)
- Related lab (Fourier Analysis and Partial Differential Equations Lab): “Ocean waves water” Jon Sullivan / Public domain (cropped)
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