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» W.E. Couch
W.E. Couch
Retired Professor
Applied Mathematics
Mathematics
+1 (403) 220-6766
Mathematical Sciences 442
couch@math.ucalgary.ca
couch@ucalgary.ca
Research Interests
General Relativity:
Black holes
Cosmology
Gravitational Radiation
Integrable Subsystems
General:
Integrable Systems
Abelian and non-abelian lattices
Laplace sequence
Currently Teaching
Not currently teaching any courses.
view past 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.
Courses
Curriculum Vitae
w-e-couch-cv.pdf
Degrees
PhD
University of Pittsburgh
, 1966
BSc
Abilene Christian University
, 1960
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