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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global stability of the Minkowski spacetime for the Einstein-Vlasov system
爱因斯坦-弗拉索夫系统 闵可夫斯基时空 全球稳定性
2023/4/21
In this talk, we discuss the global stability of the Minkowski spacetime in the wave coordinates system for the massive Einstein-Vlasov system. In particular, compared with previous results by Lindbla...
Spherical linear waves in de Sitter spacetime
spherical linear waves de Sitter spacetime Analysis of PDEs
2011/9/29
Abstract: With the Einstein-scalar field equations with positive cosmological constant in mind, we employ Christodoulou's framework, developed to study the vanishing cosmological constant case, to sph...
Gauge fixing in (2+1)-gravity: Dirac bracket and spacetime geometry
Gauge fixing (2+1)-gravity: Dirac bracket spacetime geometry
2011/3/2
We consider (2+1)-gravity with vanishing cosmological constant as a constrained dynamical system. By applying Dirac’s gauge fixing procedure, we implement the constraints and determine the Dirac brack...
Among all electromagnetic theories which (a) are derivable from a Lagrangian, (b) satisfy the
dominant energy condition, and (c) in the weak eld limit coincide with classical linear electromagnetics...
The Global Stability of the Minkowski Spacetime Solution to the Einstein-Nonlinear Electromagnetic System in Wave Coordinates
Born-Infeld canonical stress energy currents global existence Hardy inequality Klainerman-Sobolev inequality
2010/12/14
In this article, we study the coupling of the Einstein field equations of general relativity to a family of models of nonlinear electromagnetic fields.
Lowest weight representations of super Schrodinger algebras in low dimensional spacetime
super Schrodinger algebras dimensional spacetime
2010/11/24
We investigate the lowest weight representations of the super Schrodinger algebras introduced by Duval and Horvathy. This is done by the same procedure as the semisimple Lie algebras. Namely, all sin...
The rotations, boosts, and translations in an N2-dimensional spacetime are shown to be related to the fundamental commutators, anticommutators, and Clebsch-Gordan coefficients, respectively, of SU(N).
Probabilistic view on singularities and spacetime boundary
General relativity singularity probability relativistic diffusions
2010/12/13
The aim of this article is to promote the use of probabilistic methods in the study of problems in mathematical general relativity. Two new and simple singularity theorems, whose features are differen...
Uniqueness of Kottler spacetime and Besse conjecture
Uniqueness of Kottler spacetime Besse conjecture
2010/12/15
We establish a black hole uniqueness theorem for Schwarzschild-de Sitter spacetime, also called Kottler spacetime,which satisfies Einstein’s field equations of general relativity with positive cosmolo...