Jul 5 – 10, 2021
Europe/Rome timezone

Einstein Field Equations in Spherical Symmetry on Hyperboloidal Slices: Dual Foliation Formulation

Jul 5, 2021, 4:50 PM
20m
Talk in the parallel session Numerical Relativity and Gravitational Wave Observations Numerical Relativity and Gravitational Wave Observations

Speaker

Shalabh Gautam (Inter-University Centre for Astronomy and Astrophysics, Pune, India)

Description

One of the challenges in numerical relativity is to include future null infinity in the computational domain with a well-posed formulation. Success will not only enable us to evolve any system of astrophysical interest, e.g. binary black holes and extracting the gravitational wave signal at future null infinity, with any desired accuracy, but also help in studying various phenomena of fundamental interest. One proposal is to use hyperboloidal slices. In this talk, I will present our ongoing efforts for obtaining a well-posed formulation of the Einstein Field Equations on hyperboloidal slices, all in spherical symmetry. The natural extension will be to generalize these methods to full 3d.

Primary author

Shalabh Gautam (Inter-University Centre for Astronomy and Astrophysics, Pune, India)

Co-authors

Dr Alex Vañó-Viñuales (GRIT, CENTRA, IST, Lisboa, Portugal) Dr Edgar Gasperin (Institut de Mathématiques de Bourgogne (IMB), Dijon, France) Dr David Hilditch (GRIT, CENTRA, IST, Lisboa, Portugal) Prof. Sukanta Bose (IUCAA, Pune, India)

Presentation materials

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