Dr Leo Brewin - Researcher Profile

Leo Brewin

Address

School of Mathematical Sciences
Building 28, Clayton

Biography

Leo works in the School of Mathematical Sciences at Monash University as a Senior Lecturer. 

 

Leo’s research areas of interest are:

 

  • Numerical methods for General Relativity in particular lattice methods
  • Smooth Lattice General Relativity
  • Evolution of Teukolsky waves
  • Maximal sliced Oppenheimer-Snyder dust collapse
  • Boundary conditions for lattice methods
  • Ray tracing in curved space times
  • Applications of Cadabra to general relativity

Keywords

general relativity, lattice methods, Teukolsky waves, Oppenheimer-Snyder, Cadbra

Qualifications

PHD IN MATHEMATICS
Institution: Monash University
Year awarded: 1984
BACHELOR OF SCIENCE (HONS)
Institution: Monash University
Year awarded: 1979

Publications

Books

Brewin, L.C., 1997, An ADM 3 + 1 formulation for smooth lattice general relativity, Monash University, Clayton Vic Australia.

Brewin, L.C., 1997, Riemann normal coordinates, Monash University, Clayton Vic Australia.

Brewin, L.C., 1997, Riemann normal coordinates, smooth lattices and numerical relativity, Monash University, Clayton Vic Australia.

Journal Articles

Brewin, L.C., 2012, Einstein-Bianchi system for smooth lattice general relativity. I. The Schwarzschild spacetime, Physical Review D - Particles, Fields, Gravitation and Cosmology [P], vol 85, issue 12, American Physical Society, College Park MD USA, pp. 1-13.

Brewin, L.C., 2012, Einstein-Bianchi system for smooth lattice general relativity. II. 3+1 vacuum spacetimes, Physical Review D - Particles, Fields, Gravitation and Cosmology [P], vol 85, issue 12, American Physical Society, College Park MD USA, pp. 1-15.

Brewin, L., 2011, Fast algorithms for computing defects and their derivatives in the Regge calculus, Classical and Quantum Gravity [P], vol 28, issue 18, IOP Publishing Ltd, England, pp. 1-7.

Brewin, L.C., 2010, A brief introduction to Cadabra: A tool for tensor computations in General Relativity, Computer Physics Communications [P], vol 181, Elsevier BV, Amsterdam Netherlands, pp. 489-498.

Brewin, L.C., 2009, Deriving the ADM 3+1 evolution equations from the second variation of arclength, Physical Review D - Particles, Fields, Gravitation and Cosmology [P], vol 80, American Physical Society, College Park USA, pp. 084030-1-084030-7.

Brewin, L.C., 2009, Riemann normal coordinate expansions using Cadabra, Classical and Quantum Gravity [P], vol 26, IOP Publishing, Bristol UK, pp. 1-17.

Brewin, L.C., Kajtar, J.B., 2009, Smooth lattice construction of the Oppenheimer-Snyder spacetime, Physical Review D - Particles, Fields, Gravitation and Cosmology [P], vol 80, issue 10, American Physical Society, College Park USA, pp. 104004-1-104004-18.

Brewin, L.C., 2007, A simple expression for the ADM mass, General Relativity and Gravitation, vol 39, issue 4, Springer Netherlands, The Netherlands, pp. 521-528.

Brewin, L., 2002, Long term stable integration of a maximally sliced Schwarzschild black hole using a smooth lattice method, Classical and Quantum Gravity, vol 19, issue 3, IOP Publishing Ltd, Briston UK, pp. 429-455.

Brewin, L., Gentle, A.P., 2001, On the convergence of Regge calculus to general relativity, Classical and Quantum Gravity, vol 18, Institute of Physics Publishing Ltd, UK, pp. 517-525.

Brewin, L.C., 2000, Is the Regge calculus a consistent approximation to general relativity?, General Relativity and Gravitation, vol 32 issue 5, Kluwer Academic/Plenum Publishers NY, http://www.wkap.nl/journalhome.htm/0001-7701, pp. 897-918.

Brewin, L.C., 1998, An ADM 3+1 formulation for smooth lattice general relativity, Journal of Classical and Quantum Gravity, vol 15 no 8, Institute of Physics, UK, pp. 2427-2450.

Brewin, L.C., 1998, Riemann normal coordinates, smooth lattices and numerical relativity, Journal of Classical and Quantum Gravity, vol 15 no 10, Institute of Physics, http://www.iop.org, pp. 3085-3120.

Conference Proceedings

Sonneman, J., Brewin, L.C., 1997, The use of benthic algae and aquatic macrophytes for river health monitoring, River Basin Management Society Winter Conference, La Trobe University, 7/7/97, La Trobe University, Melbourne Vic Australia, pp. 1-10.

Other

Brewin, L.C., Maddison, S., Monaghan, J.J., 1997, The Expanding Universe, The Sunday Age, The Sunday Age, Melbourne Vic Australia.

Postgraduate Research Supervisions

Current Supervision

Program of Study:
(DOCTORATE BY RESEARCH).
Thesis Title:
Applications of the Smooth Lattice Method to Axisymmetric Gravitational Waves.
Supervisors:
Brewin, L (Main), Lun, A (Associate).
Program of Study:
(DOCTORATE BY RESEARCH).
Thesis Title:
Construction of charged disks around spherically symmetric stars.
Supervisors:
Lun, A (Main), Brewin, L (Associate).
Program of Study:
(DOCTORATE BY RESEARCH).
Thesis Title:
Solution for Einstein-Maxwell equations referring to a magnetic star.
Supervisors:
Lun, A (Main), Brewin, L (Associate).
Program of Study:
(DOCTORATE BY RESEARCH).
Thesis Title:
Structured computation in control system design.
Supervisors:
Chu, E (Main), Brewin, L (Associate).

Completed Supervision

Student:
Gentle, A.
Program of Study:
REGGE GEOMETRODYNAMICS. (PHD) 2000.
Supervisors:
Brewin, L (Main).
Student:
Kajtar, J.
Program of Study:
Smooth lattice general relativity and SPH simulations of swimming linked bodies. (PHD) 2009.
Supervisors:
Brewin, L (Joint-Co), Monaghan, J (Joint).
Student:
Lasky, P.
Program of Study:
A unified treatment of gravitational collapse in general relativity. (PHD) 2007.
Supervisors:
Lun, A (Main), Brewin, L (Associate).
Student:
Velic, M.
Program of Study:
GAUGE INVARIANT INTEGRATION AND PERTURBATION OF PETROV TYPE D SPACETIMES. (PHD) 2005.
Supervisors:
Lun, A (Main), Brewin, L (Associate).