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 ....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.Read moreRead less
A mathematical analysis of the influence of small scale inhomogeneities on the evolution of the universe. A fundamental unresolved problem in modern cosmology is to quantify the influence of small-scale inhomogeneities on the evolution of the universe. This project will develop the mathematical techniques required to resolve this question. In addition, these techniques will have important applications to the analysis of astronomical data.
Gravitational-wave astrophysics of binary black holes. Do black holes live alone, or form lasting gravitational partnerships? This question is of immense significance to astronomers. The emerging field of gravitational-wave astronomy is set to provide the answers. This project aims to develop innovative strategies to search for black hole pairs using leading technologies built with Australian expertise.
Discovery Early Career Researcher Award - Grant ID: DE230100829
Funder
Australian Research Council
Funding Amount
$425,100.00
Summary
Geometric approaches to quantum many body problems. The project aims to utilise results from differential geometry and related areas to investigate the physics of interacting many-body quantum systems. This project expects to generate new knowledge in the area of mathematical physics with broad applications in quantum information, condensed matter physics and statistical mechanics. The key focus will lie on the development of variational methods for the efficient simulation of quantum evolution ....Geometric approaches to quantum many body problems. The project aims to utilise results from differential geometry and related areas to investigate the physics of interacting many-body quantum systems. This project expects to generate new knowledge in the area of mathematical physics with broad applications in quantum information, condensed matter physics and statistical mechanics. The key focus will lie on the development of variational methods for the efficient simulation of quantum evolution and the characterisation of suitable quantum state families by their correlation structures.Read moreRead less
A Transdimensional Approach to Gravitational-Wave Astronomy. This project uses ripples in the fabric of spacetime––gravitational waves––to understand the cosmos and the fundamental nature of reality. We aim to discover new sources of gravitational waves from exploding stars. Using gravitational waves from colliding black holes, we aim to uncover new physics beyond Einstein's theory of general relativity. To achieve these goals we will develop tools from the cutting-edge of data science.
Testing pulsar emission models and general relativity at pico arcsecond resolution. A holographic technique has been pioneered that harnesses scattering in interstellar space to resolve the emission from pulsars at a resolution of 50 pico-arcseconds, six orders of magnitude finer than has been achieved by conventional radio astronomical interferometry. This project will directly measure the size of the emission regions in a set of pulsars, and hence resolve the 40-year old debate regarding the s ....Testing pulsar emission models and general relativity at pico arcsecond resolution. A holographic technique has been pioneered that harnesses scattering in interstellar space to resolve the emission from pulsars at a resolution of 50 pico-arcseconds, six orders of magnitude finer than has been achieved by conventional radio astronomical interferometry. This project will directly measure the size of the emission regions in a set of pulsars, and hence resolve the 40-year old debate regarding the site of their radio emission. The project will also apply the technique to binary pulsar systems to provide a new test of General Relativity.Read moreRead less
Gravitational wave astrophysics with Laser Interferometer Gravitational-Wave Observatory (LIGO). The prediction that space and time vibrate is one of Einstein's greatest legacies, implying the existence of a new form of radiation with which to study the Universe. This project puts Australia in the vanguard of the billion-dollar effort worldwide to detect and harness this radiation for the first time.
Advanced numerical and analytical techniques for exact studies in combinatorics and statistical mechanics. Exactly solved models are of immense importance in all areas of the theoretical sciences and play important roles in our understanding of complex natural and social phenomena. This project aims to develop powerful new methods that will enable mathematicians and physicists to greatly expand the types of models for which we can find a solution.