- Retired Professor
- Applied Mathematics
- Mathematics
University of Calgary
Department of Mathematics and Statistics
W.E. Couch
Research Interests
Currently Teaching
Not currently teaching any courses.
Publications
Journal Article
- Couch, W.E. and Holder, C.L.. "Liouvillian quasinormal modes of Reissner-Nordstrom black holes". Journal of Mathematical Physics 50.2 (2009): 022503 1-7. Print.
- Couch, W.E. and Holder,C.L.. "Liouvillian perturbations of black holes". J. Mathematical Phys. 48. (2007): 102502-1-26. Print.
- Couch, W.E.. "An Overlooked Calculus Question". The College Mathematics Journal 33.5 (2002): 399-400. Print.
- Couch, W.E., Surovy,M and Torrence, R.J.. "Some Singular Motions of Non-Abelian Toda Lattices". Canadian Journal of Physics 78. (2000): 99-112. Print.
- Couch, W.E. and Torrence, R. J.. "Progressing wave perturbations of cosmological spacetimes". General Relativity and Gravitation 28.2 (1996): 163-177. Print.
- Couch, W.E. and Torrence, R.J.. "Note on Gauging Cosmological Density Perturbations". Canadian Journal of Physics 74.3-4 (1996): 182-184. Print.
- Couch, W.E. and Torrence, R. J.. "Wave splitting and lattice dynamics". Journal of Physics. A. Mathematical and General 28.16 (1995): 4609-4621. Print.
- Bombelli, Luca, Couch, W.E. and Torrence, R. J.. "Perfect fluid perturbations of cosmological spacetimes in Stewart's variables". Classical and Quantum Gravity 11.1 (1994): 139-155. Print.
- Couch, W.E. and Torrence, R. J.. "Variable-coefficient wave equations with exact spreading solutions". Journal of Physics. A. Mathematical and General 26.20 (1993): 5491-5504. Print.
- Bombelli, L., Couch, W.E. and Torrence, R. J.. "Solvable systems of wave equations and nonabelian Toda lattices". Journal of Physics. A. Mathematical and General 25.5 (1992): 1309-1327. Print.
- Bombelli, L., Couch, W.E. and Torrence, R. J.. "Wake-free waves in one and three dimensions". Journal of Mathematical Physics 32.1 (1991): 106-108. Print.
- Bombelli, Luca, Couch, W.E. and Torrence, R. J.. "Time as spacetime four-volume and the {A}shtekar variables". Physical Review. D. Particles and Fields. Third Series 44.8 (1991): 2589-2592. Print.
- Couch, W.E.. "Space-times with exactly solvable gravitational perturbations". , (1990): 102-105. Print.
- Couch, W.E. and Torrence, R. J.. "Progressing wave gravitational perturbations of {R}obertson-{W}alker space-times". General Relativity and Gravitation 22.12 (1990): 1397-1412. Print.
- Torrence, R. J. and Couch, W.E.. "Master equation for some gauge invariant gravitational perturbations". General Relativity and Gravitation 22.12 (1990): 1387-1396. Print.
- Couch, W.E. and Torrence, R. J.. "Generalized Darboux maps and massless spin-{$s$}-fields". General Relativity and Gravitation 21.5 (1989): 509-515. Print.
- Torrence, R. J. and Couch, W.E.. "Progressing waves on spherical spacetimes". General Relativity and Gravitation 20.4 (1988): 343-358. Print.
- Torrence, R. J. and Couch, W.E.. "Note on Kantowski-Sachs spacetimes". General Relativity and Gravitation 20.6 (1988): 603-606. Print.
- Couch, W.E. and Torrence, R. J.. "A class of wave equations with progressive wave solutions of finite order". Physics Letters. A 117.6 (1986): 270-274. Print.
- Couch, W.E. and Torrence, R. J.. "Spherically symmetric space-times transparent to scalar multipole waves". General Relativity and Gravitation 18.7 (1986): 767-780. Print.
- Torrence, R. J. and Couch, W.E.. "Note on equivalence of cosmological space-times". General Relativity and Gravitation 18.6 (1986): 585-589. Print.
- Couch, W.E.. "Solutions to wave equations on black hole geometries. {II}". Journal of Mathematical Physics 26.9 (1985): 2286-2296. Print.
- Torrence, R. J. and Couch, W.E.. "Transparency of de {S}itter and anti-de {S}itter spacetimes to multipole fields". Classical and Quantum Gravity 2.4 (1985): 545-553. Print.
- Torrence, R. J. and Couch, W.E.. "Generating fields from data on {${\scr H}\sp{-}\cup {\scr H}\sp{+}$} and {${\scr H}\sp{-}\cup {\scr I}\sp{-}$}". General Relativity and Gravitation 16.9 (1984): 847-866. Print.
- Couch, W.E. and Torrence, R. J.. "Conformal invariance under spatial inversion of extreme {R}eissner-{N}ordstr\"om black holes". General Relativity and Gravitation 16.8 (1984): 789-792. Print.
- Couch, W.E.. "Solutions to wave equations on black hole geometries". Journal of Mathematical Physics 22.7 (1981): 1457-1462. Print.
- Couch, W.E.. "An approximation scheme for scalar waves in a {K}err geometry". General Relativity and Gravitation 12.8 (1980): 665-673. Print.
- Couch, W.E. and Torrence, R. J.. "A particular {$N$}-soliton solution and scalar wave equations". Journal of Mathematical Physics 20.12 (1979): 2423-2426. Print.
- Couch, W.E. and Torrence, R. J.. "An approximation scheme for scalar waves in a {R}eissner-{N}ordstr\"om geometry". General Relativity and Gravitation 11.1 (1979): 71-77. Print.
- Couch, W.E. and Torrence, R. J.. "An approximation scheme for scalar waves in a {S}chwarzschild geometry". General Relativity and Gravitation 9.12 (1978): 1119-1128. Print.
- Couch, W.E. and Torrence, R.J.. "A Bremmer Series for Radial Wave Equations". Canadian Journal of Physics 55.24 (1977): 2150-2157. Print.
- Couch, W.E. and Torrence, R.J.. "Retarded Multi-pole Fields and the Inhomogeneous Wave Equation". Journal of Mathematical Physics 16.12 (1975): 2375-2377. Print.
- Couch, W.E. and Torrence, R.J.. "Nonspreading solutions of the inhomogeneous scalar wave equation". Journal of Mathematical Physics 16.4 (1975): 857-861. Print.
- Couch, W.E. and Newman, E. T.. "Algebraically special perturbations of the {S}chwarzschild metric". J. Mathematical Phys. 14. (1973): 285-286. Print.
- Couch, W.E. and Newman, E.T.. "Generalized Lienard-Wiechert Fields". Journal of Mathematical Physics 13.7 (1972): 929-931. Print.
- Couch, W.E. and Torrence, R. J.. "Asymptotic behavior of vacuum space-times". J. Mathematical Phys. 13. (1972): 69-73. Print.
- Couch, W.E. and Hallidy, W. H.. "Radiation scattering in Einstein-Maxwell theory". J. Mathematical Phys. 12. (1971): 2170-2175. Print.
- Couch, W.E., Kinnersley, W.M. and Torrence, R.J.. "Non-Linear Radiative Interactions in General Relativity". Physics Letters. A 31A.10 (1970): 576-577. Print.
- Couch, W.E. and Torrence, R.J.. "Self-Interaction of Gravitational Radiation". Journal of Mathematical Physics 11.7 (1970): 2096-2114. Print.
- Couch, W.E., Torrence, R.J., Janis, A.I. and Newman, E.T.. "Tail of a Gravitational Wave". Journal of Mathematical Physics 9.3 (1968): 484-496. Print.
- Newman, E.T., Couch, W.E., Chinnapared, A., Exton, A., Prakash, A. and Torrence, R.. "Metric of a Rotating, Charged Mass". Journal of Mathematical Physics 6.6 (1965): 918-919. Print.
- Couch, W.E.. "1. Couch, W.E. and J.C. Swartz, The Dilatation of Dislocation Kinks and Jogs, Phil. Mag. 7, 1231-1238(1962).". Philosophical Magazine, (1962). Print.
Journal Articles - Peer Reviewed
- Couch, W.E. and Holder, C.L.. "Liouvillian quasi-normal modes of Kerr-Newman black holes". J. Math. Phys. 53. (2012): 062502 1-8. Print.
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