17 citations · 19 across the 5 of their papers we have counts for
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gr-qc2023
Shock-Wave Refinement of the Friedmann-Robertson-Walker Metric
Christopher Alexander, Blake Temple, Joel Smoller
The mathematics of general relativistic shock waves is introduced and considered in a cosmological context. In particular, an expanding Friedmann-Roberson-Walker metric is matched…
math.AP2023
On Weak Solutions to the Geodesic Equation in the Presence of Curvature Bounds
Moritz Reintjes, Blake Temple
We show that taking account of bounded curvature reduces the threshold regularity of connection coefficients required for existence and uniqueness of solutions to the geodesic equa…
math.AP2023★ 2 cited
The Nonlinear Theory of Sound
Blake Temple, Robin Young
We prove the existence of ``pure tone'' nonlinear sound waves of all frequencies. These are smooth, space and time periodic, oscillatory solutions of the compressible Eu…