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School-Seminar "Interaction of Mathematics and Physics: New Perspectives" for graduate students and young researchers
August 23, 2012 09:45–10:30, Moscow, Moscow State Institute of Electronics and Mathematics, Steklov Mathematical Institute
 


Mass and momentum in general relativity. Lecture 1

Yau Shing-Tung

Department of Mathematics, Harvard University
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Flash Video 1,736.8 Mb
Flash Video 289.9 Mb
MP4 289.9 Mb
Materials:
Adobe PDF 2.0 Mb

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Yau Shing-Tung
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Abstract: In this lecture, we shall explain that the classical notion of mass and momentum encounter difficulty when looking into gravitation energy. And we also explain how these important concepts can be defined using intuitions from geometry and physics. The discussion is based on the works with Schoen, Melissa Liu and Mu tao Wang and Poning Chen. For a closed surface with genus zero, we define the concept of mass and momentum of the region where the surface encloses. We derive properties that they should satisfy. The mathematics behind it is a nontrivial combination of geometry and partial differential equations which we shall attempt to explain to the audience in a reasonable manner.

Materials: talk_at_moscow_quasi_local_mass_and_momentum_in_general_relativity_20120821.pdf (2.0 Mb)
Series of lectures

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