Prof. Emeritus D. K. Sen
Research Interests: Mathematical Physics (General Relativity, Particle Physics)
List of Publications:
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A static cosmological model,Zeit. f. Physik 149, (1957) ,311.
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A complex non-analytic manifold,Can. J. Physics 38, (1960) ,145.
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On geodesics of a modified Riemannian manifold, Can. Math. Bull, 3,
(1960) 255.
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A simple derivation of the geodesic equations of motion,Nuovo Cimento 21,
(1961) 184.
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The Hamilton-Jacobi equation for a charged particle,Can. Math. Bull. 6,
3 (1963) 351.
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A theoretical basis for two neutrinos,Nuovo Cimento 31, (1964) 660. (Paper
in pdf format)
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A scalar-tensor theory of gravitation in a modified Riemannian manifold,
Journal of Math. Physics 12, (1971) 578.
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On Weyl and Lyra manifolds,Journal of Math. Physics 13, (1972) 990.
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Projective manifolds and projective theory of relativity, Journal of Math.
Physics 14, (1973) 1668.
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An exact solution of a scalar-tensor theory of gravitation,Journal of Math.
Physics 14, (1973) 1933.
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A homomorphism theorem for the Poincare group,Int. Journal Theoretical
Physics 10, (1974) 153.
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A class of singular space-times,General Relativity and Gravitation 5,
(1974) 593.
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A correction to the Sen and Dunn gravitational field equations, Journal
of Math. Physics 16, (1975) 320.
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Uniqueness of time-like Killing vectors,Ann. Inst. Henri Poincare 23,
3 (1975).
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Analytic singularities and geodesic completeness I,Ann. Inst. Henri Poincare
23,
4 (1975).
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Analytic singularities and geodesic completeness II, Ann. Inst. Henri Poincare
23,
4 (1975).
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Unified structures on space-time, Proceedings of International Sympsium
on Relativity and Unified Field Theory, Calcutta University, Dec. '75-Jan.
'76.
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The special relativistic velocity-addition law and related functional equation,
Int. Jour. of Theoretical Physics 18, 3 (1979) 179-184.
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Connections on infinitesimal fibre bundles and unified theories, Research
Institute on Geometrical and Topological Methods in Gauge Theories, McGill
University, Montreal, Sept. 3-8, 1979.
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Yang-Mills Gauge and the Gravitational Gauge, Proc. of Conference on Differential
Geometrie Methods in Theoretical Physics, Trieste, July, (1981).
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Hyperbolic 3-manifolds and Relativity Theory, Conf. Proc. of Differential
Geometric Methods in Mathematical Physics, Varna, (1982).
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Connections on infinitesimal fiber bundles and unified theories,Journal
of Math. Physics 26, (6) June (1985) 1160-61.
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Mapping of Connections on bundles and gauge field theories,Journal of Math.
Physics 26, (6) June (1985) 1162-64.
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Lorentz action on the space of relative velocities and relativity on a
3-manifold,Journal of Math. Physics 31, (5) (1990) 1145-51.
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Relativity in 3-dimensions, Class. & Quant. Gravity,12, (1995), 553-577.
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Relativity on 3-manifolds, Gravitation & Cosmology, Vol.4, No.3, (1998),
226-228.
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Kerr and Schwarzschild black-holes in 3-dimensional relativity, Journal
of Math. Physics 41, (2000), 7556-7572.
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Left and Right-handed Neutrinos and Baryon-Lepton masses, Journal of Math. Physics 48, No.2, (2007), 022304 1-8.
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On a neutrino theory of matter (Nov. 2009) (Preprint on request)
.
Books:
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"Fields and/or Particles", Academic Press, London, 1968.
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"Space, Time and Matter",
World Scientific Publishing, Singapore & London, 2014.
email: sen@math.utoronto.ca