Discovery Projects - Grant ID: DP170100630

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP170100630

Funding Status
Closed

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Funded Activity Summary

Gravitating relativistic material bodies: A mathematical analysis. This project aims to establish the local-in-time existence and geometric uniqueness of solutions to the Einstein-Elastic equations representing systems of gravitating relativistic material bodies, and to understand the long-time behaviour of these solutions. In spite of their importance to astrophysics, almost nothing is known about the mathematical properties of solutions to the equations of motion governing gravitating systems of relativistic material bodies. This project would provide mathematical tools for the study of gravitating relativistic material bodies and provide guidance on developing stable numerical schemes for simulations that are essential for comparing theory with experiment. This would significantly improve current understanding of the behaviour of matter and gravitational fields near the matter-vacuum boundary of bodies and help understanding of the physics of these boundaries.

Funded Activity Details

Start Date: 01-01-2017

End Date: 31-12-2020

Funding Scheme: Discovery Projects

Funding Amount: $276,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Mathematical Aspects of General Relativity | Pure Mathematics | Partial Differential Equations

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Expanding Knowledge in the Mathematical Sciences | Mathematical Aspects of General Relativity | Partial Differential Equations | Pure Mathematics

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