Hyperboloidal Strong Field Initial Data and 3D Progress with BSSN/Z4
Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube
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Overview
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Explore hyperboloidal foliations in numerical relativity through this 26-minute conference lecture focusing on gravitational wave extraction and the evolution of conformally compactified BSSN/Z4 equations. Learn about the fundamental importance of reaching future null infinity for unambiguous gravitational wave radiation measurements and correct waveform extraction from compact binary simulations. Discover how hyperboloidal slices—spacelike surfaces that smoothly extend to null infinity—provide a promising method for achieving accurate astrophysical observations. Examine the construction of hyperboloidal initial data incorporating black holes and neutron stars in spherical symmetry, and understand the current progress toward full three-dimensional simulations using the free evolution approach with conformally compactified BSSN/Z4 formulations. Gain insights into the theoretical foundations and practical challenges of implementing hyperboloidal methods in numerical relativity, including the mathematical framework for handling strong field regimes and the computational strategies for extending simulations to null infinity.
Syllabus
Alex Vañó Viñuales - Hyperboloidal strong field initial data and 3D progress with BSSN/Z4
Taught by
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)