Dr. Moritz Reintjes
Reintjes, Ph.D. is Postdoctoral Scholar at the University of
Moritz and his collaborators study the mathematics of how shockwaves in a perfect fluid can affect the curvature of space-time in general relativity. A shockwave creates an abrupt change, or discontinuity, in the pressure and density of a fluid, and this creates a jump in the curvature. But it has been known since the 1960s that the jump in curvature created by a single shock wave is not enough to rule out the locally flat nature of space-time.
Moritz did an analysis of the equations that describe what happens when shockwaves cross. He found this created a new type of singularity, which he dubbed a “regularity singularity”. What is surprising is that something as mild as interacting waves could create something as extreme as a space-time singularity. Moritz and his colleagues are investigating whether the steep gradients in the space-time fabric at a regularity singularity could create any effects that are measurable in the real world. For example, they wonder whether they might produce gravity waves,
He coauthored The Dirac Equation and the Normalization of its Solutions in a Closed Friedmann–Robertson–Walker Universe, Points of General Relativistic Shockwave Interaction are “Regularity Singularities” where Spacetime is not Locally Flat, A finiteness theorem for Galois representations of function fields over finite fields (after Deligne), p-adic deformation of algebraic cycle classes, and Covering data and higher dimensional global class field theory, and authored Higher class field theory and the connected component and The Complex of Words and Nakaoka Stability. Read the full list of his publications!
Moritz earned his B.Sc. (Hons.) at the University of Cape Town in 2005 and earned his M.Sc. at the University of Regensburg in 2007. He earned his Ph.D. at UC Davis in 2011 with the thesis Shock Wave Interactions in General Relativity and the Emergence of Regularity Singularities.
Read A wrinkle in space-time: Math shows how shockwaves could crinkle space. View his Facebook page.