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Shalabh Gautam (ICTS - TIFR, Bengaluru)
Date & Time
Fri, 01 September 2023, 11:00 to 12:30
Chern Lecture Hall and Online

One symmetric hyperbolic formulation of the Einstein Field Equations~(EFEs) is in generalized harmonic gauge. The choice of gauge is generally related to the coordinates used to cast the~EFEs within a spacetime foliation. A naive choice of gauge adapted to hyperboloidal coordinates may not be the most optimal way to solve the~EFEs on these slices. In this talk, I shall discuss a choice of compactified hyperboloidal coordinates that not only are physically motivated but also facilitate mapping future-null infinity onto a finite computational grid. I shall give a prescription to decouple the choice of gauge from this choice of coordinates to maintain the hyperbolicity of the~EFEs. Later, I shall introduce a numerical scheme that assures stability for a class of linear hyperbolic systems on these slices. Finally, I shall discuss the possibility of extending this numerical scheme to the initial value problems for the~EFEs on these slices.

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Meeting ID: 827 7464 7641
Passcode: 228402