Research Interest

Graham Hall's main research interests lie in Mathematical Relativity Theory and Differential Geometry. In particular they are concerned with the mathematical structure of space-time, especially the connection, curvature and projective structure, and the study of symmetries in exact solutions of Einstein's equations. He is responsible for a relativity research group which normally has several high-quality PhD students and overseas visitors.

Web Links

• University of Aberdeen, Mathematical Sciences
• Math Sci Net (subscription site)

Publications

• Hall,G. S.; Maxwell's Electromagnetic Theory and Special Relativity , Edited Book, 2008, Phil. Trans. Roy. Soc. A, Theme Issue (James Clerk Maxwell 150 years on)
• Hall,G. S.; Lonie,D. P.; The Principle of Equivalence and Cosmological Metrics , Original Article in Peer Reviewed Journal, 2008, Journal of Mathematical Physics, 49, ISSN/ISBN: 0022-2488
• Hall,G. S.; Geometry and Symmetry in General Relativity , Edited Book, 2007, "Mathematical Physics" Proceedings of the 12th Regional Conference, Islamabad, pp13
• Hall,G. S.; Some Remarks on the Foundation of Classical Dynamics and Special Relativity , Edited Book, 2007, Analele Stiintificae Ale Universitatii "Al.1 Cuza" Din Iasi (S.N.) Matematica, Tomul LIII, supliment
• Hall,G. S.; Some Remarks on the Space-Times of Einstein and Newton , Edited Book, 2007, Relativity and the Dimensionality of the World, pp17
• Hall,G. S.; Lonie,D. P.; The Principle of Equivalence and Projective Structures in Spacetime , Original Article in Peer Reviewed Journal, 2007, Classical and Quantum Gravity, 24, pp3617-3636, ISSN/ISBN: 0264-9381
• Hall,G. S.; General Relativity and Sectional Curvature , Original Article in Peer Reviewed Journal, 2006, International Journal of Geometric Methods in Modern Physics, 3, 5, pp1077-1087, ISSN/ISBN: 0219-8878
• Hall,G. S.; Lonie,D. P.; On the Compatibility of Lorentz Metrics with Linear Connections on 4-dimensional Manifolds , Original Article in Peer Reviewed Journal, 2006, Journal of Physics.A:Math. Gen., 39, pp2995-3010, ISSN/ISBN: 0305-4470
• Hall,G. S.; Some Remarks on Curvature Tensor Integrability in Spacetimes , Original Article in Peer Reviewed Journal, 2006, Classical and Quantum Gravity, 23, pp1485-1492, ISSN/ISBN: 0264-9381
• Hall,G. S.; Macnay,L.; The Curvature Function in General Relativity , Original Article in Peer Reviewed Journal, 2006, Classical and Quantum Gravity, 23, pp5897-5905, ISSN/ISBN: 0264-9381
• Hall,G. S.; Macnay,L.; A Note on Curvature Collineations in Space-Times , Original Article in Peer Reviewed Journal, 2005, Classical and Quantum Gravity, 22, pp5191-5193, ISSN/ISBN: 0264-9381
• Hall,G. S.; Geometric Foundations of General Relativity Theory , Edited Book, 2005, Differential Geometry and its Applications, pp12
• Hall,G. S.; McNay,L.; Sectional curvature and the energy-momentum tensor , Original Article in Peer Reviewed Journal, 2005, Classical and Quantum Gravity, 22, May, pp1493-1502, ISSN/ISBN: 0264-9381
• Hall,G. S.; Lonie,D. P.; Holonomy and Projective Symmetry in Spacetimes , Original Article in Peer Reviewed Journal, 2004, Classical and Quantum Gravity, 21, pp4549-4556, ISSN/ISBN: 0264-9381
• Hall,G. S.; Patel,M. T.; On the theory of homothetic and affine orbits in space time , Original Article in Peer Reviewed Journal, 2004, Classical and Quantum Gravity, 21, 19, pp4731-4742, ISSN/ISBN: 0264-9381
• Hall,G. S.; Symmetries and Curvature Structure in General Relativity , Book, 2004, World scientific publishing company, pp430, ISSN/ISBN: 9-8102-1051-5
• Hall,G. S.; Symmetries and Orbit Theory in 4-dimensional manifolds , Edited Book, 2004, "Global Analysis and Applied Mathematics" A.I.P. Conference Proceedings, vol 729, New York., pp8
• Hall,G. S.; Sharif,M.; The determination of the metric by the Weyl and energy-momentum tensors , Original Article in Peer Reviewed Journal, 2004, Nuovo Cimento della Società Italiana di Fisica. B, 119, 1, pp97-100, ISSN/ISBN: 0369-3554
• Tupper,B. O. J.; Keane,A. J.; Hall,G. S.; Coley,A. A.; Conformal symmetry inheritance in null fluid spacetimes , Original Article in Peer Reviewed Journal, 2003, Classical and Quantum Gravity, 20, 5, pp801-811, ISSN/ISBN: 0264-9381
• Hall,G. S.; Holonomy theory and 4-dimensional Lorentz manifolds , Original Article in Peer Reviewed Journal, 2003, Universitatis Iagellonicae. Acta Mathematica, 41, pp267-272, ISSN/ISBN: 0860-0120
• Hall,G. S.; On the theory of Killing orbits in space time , Original Article in Peer Reviewed Journal, 2003, Classical and Quantum Gravity, 20, pp4067-4084, ISSN/ISBN: 0264-9381
• Hall,G. S.; Shabbir,G.; Some examples of space-time curvature collineations , Original Article in Peer Reviewed Journal, 2003, Gravitation & Cosmology, 9, 3, pp134-138, ISSN/ISBN: 0202-2893
• Hall,G. S.; Curvature Structure and General Relativity , Edited Book, 2002, Proceedings of the Conference on Contemporary and Geometry and Related Topics, pp12
• Hall,G. S.; Patel,M. T.; Projective symmetry in perfect fluid spacetimes , Original Article in Peer Reviewed Journal, 2002, Classical and Quantum Gravity, 19, 8, pp2319-2322, ISSN/ISBN: 0264-9381
• Hall,G. S.; Symmetries in 4-dimensional Lorentz manifolds , Original Article in Peer Reviewed Journal, 2002, Universitatis Iagellonicae. Acta Mathematica, 40, pp207-214, ISSN/ISBN: 0860-0120
• Coley,A. A.; Hall,G. S.; Keane,A. J.; Tupper,B. O. J.; The maximum dimension of the inheriting algebra in perfect fluid space-times , Original Article in Peer Reviewed Journal, 2002, Journal of Mathematical Physics, 43, 11, pp5567-5577, ISSN/ISBN: 0022-2488
• Hall,G. S.; Shabbir,G.; Curvature collineations in conformally flat spacetimes , Original Article in Peer Reviewed Journal, 2001, Classical and Quantum Gravity, 18, 5, pp907-917, ISSN/ISBN: 0264-9381
• Hall,G. S.; Khan,S.; Projective symmetry in null Einstein-Maxwell space-times , Original Article in Peer Reviewed Journal, 2001, Journal of Mathematical Physics, 42, 1, pp347-354, ISSN/ISBN: 0022-2488