What is birkhoffs: Definition and 1 Discussions

George David Birkhoff (March 21, 1884 – November 12, 1944) was one of the top American mathematicians of his generation. He made valuable contributions to the theory of differential equations, dynamical systems, the four-color problem, the three-body problem, and general relativity. Today, Birkhoff is best remembered for the ergodic theorem. The George D. Birkhoff House, his residence in Cambridge, Massachusetts, has been designated a National Historic Landmark.

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  1. Pencilvester

    I Couple questions about time re-scaling function in Birkhoff’s theorem

    Towards the end of proving Birkhoff's theorem, you have a line element of the form $$ds^2 = -b(t) \cdot (1 - a/r) dt^2 + (1 - a/r)^{-1} dr^2 + r^2 d\Omega^2$$where ##a## is some constant and ##b## is a (positive) function of ##t##. We are free to define a new coordinate ##t'## such that ##dt' =...
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