Einstein's Constraint Equations in dimension 4 Siddiqur Rahman, Oklahoma State University Host: Achinta Nandi Remark: The speaker does not assume that the audiences are familiar with Riemannian geometry and general relativity. This talk is completely self-contained.
Abstract: Einstein's gravitational field equations(EFEs) can be considered the most celebrated (arguably) system of PDEs of the last century. In 4 dimensions, combing Gauss and Codazzi equations with Einstein's field equations, one obtains the four Einstein's constraint equations that must satisfy the initial data for the solution of EFEs. In this talk, we show the geometric origin of Einstein's constraint equations and their role to construct solutions to EFEs.
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