American mathematician
Tevian Dray (born March 17, 1956) is an American mathematician
who has worked in general relativity, mathematical physics, geometry, and both science and mathematics education. He was elected a Fellow of the American Physical Society in 2010.
He has primarily worked in the area of classical general relativity. His
research results include confirmation of the existence of solutions ofEinstein's equation containing gravitational radiation, the use ofcomputer algebra to classify exact solutions of Einstein's equation, an
analysis of a class of gravitational shock waves (including one of the few
known exact 2-body solutions in general relativity), and
the study of signature change, a possible model for theBig Bang. More recently, his work has focused on applications of theoctonions to the theory of fundamental particles.
He was a graduate student under Rainer K. Sachs atBerkeley, where he received his Ph.D.in 1981, although much of his dissertation research was done in collaboration withAbhay Ashtekar. The context of his dissertation, titled The Asymptotic Structure of a Family of Einstein-Maxwell Solutions focused on families of spacetimes which describe accelerating black holes, and which contain gravitational radiation. This demonstrated the existence of exact radiating solutions to the Einstein field equations.[1]
He is currently a professor of mathematics at Oregon State University. In addition to his ongoing work in mathematical physics,
he has made significant contributions in science education, where he directs
the Vector Calculus Bridge Project,[2] an attempt to teach vector
calculus the way it is used by scientists and engineers, and is part of the
development team of the Paradigms Project,[3] a complete
restructuring of the undergraduate physics major around several core
"paradigms". He has written a book [4]on special relativity and a sequel on general relativity using differential forms.
,[5] and is coauthor of The Geometry of the Octonions released in 2015.[6]
Bibliography
- Abhay Ashtekar & Tevian Dray (1981). "On the Existence of Solutions to Einstein's Equation with Non-Zero Bondi News". Commun. Math. Phys. 79 (4): 581–589. Bibcode:1981CMaPh..79..581A. doi:10.1007/BF01209313. S2CID 121427482.
- Tevian Dray & Gerard 't Hooft (1985). "The Effect of Spherical Shells of Matter on the Schwarzschild Black Hole". Commun. Math. Phys. 99 (4): 613–625. Bibcode:1985CMaPh..99..613D. doi:10.1007/BF01215912. hdl:1874/4753. S2CID 122717417.
- Paul C. W. Davies; Tevian Dray & Corinne A. Manogue (1996). "Detecting the Rotating Quantum Vacuum". Phys. Rev. D. 53 (8): 4382–4387. arXiv:gr-qc/9601034. Bibcode:1996PhRvD..53.4382D. doi:10.1103/PhysRevD.53.4382. PMID 10020436. S2CID 2114187.
- Tevian Dray; George Ellis; Charles Hellaby & Corinne A. Manogue (1997). "Gravity and Signature Change". Gen. Rel. Grav. 29 (5): 591–597. arXiv:gr-qc/9610063. Bibcode:1997GReGr..29..591D. doi:10.1023/A:1018895302693. S2CID 7617543.
- (2012) Tevian Dray, The Geometry of Special Relativity (A K Peters/CRC Press) ISBN 978-1466510470[7]
- (2014) Tevian Dray, Differential Forms and The Geometry of General Relativity (A K Peters/CRC Press) ISBN 978-1466510005[8]
- (2015) Tevian Dray and Corinne A. Manogue, The Geometry of the Octonions (World Scientific) ISBN 978-9814401814[6]
References
- ^ "Tevian Dray's Dissertation".
- ^ "Bridging the Vector Calculus Gap".
- ^ "Start - Portfolios Wiki".
- ^ "Bookinfo - Geometry of Special Relativity".
- ^ "Differential Forms and the Geometry of General Relativity".
- ^ a b Reviews of The Geometry of the Octonions:
- Elduque, Alberto (2015), Mathematical Reviews, doi:10.1142/8456, ISBN 978-981-4401-81-4, MR 3361898
{{citation}}: CS1 maint: untitled periodical (link) - Brezov, Danail (2015), "Review" (PDF), J. Geom. Symmetry Phys., 39: 99–101
- Hunacek, Mark (June 2015), "Review", MAA Reviews
- ^ "The Geometry of Special Relativity". A K Peters/CRC Press. Retrieved 17 April 2014.
- ^ "Differential Forms and The Geometry of General Relativity". A K Peters/CRC Press. Retrieved 4 January 2015.
External links
- Tevian Dray's home page
- Vector Calculus Bridge Project
- Paradigms Project
