Prof. Emeritus D. K. Sen

Research Interests:  Mathematical Physics (General Relativity, Particle Physics)

List of Publications:

    1. A static cosmological model,Zeit. f. Physik 149, (1957) ,311.
    2. A complex non-analytic manifold,Can. J. Physics 38, (1960) ,145.
    3. On geodesics of a modified Riemannian manifold, Can. Math. Bull, 3, (1960) 255.
    4. A simple derivation of the geodesic equations of motion,Nuovo Cimento 21, (1961) 184.
    5. The Hamilton-Jacobi equation for a charged particle,Can. Math. Bull. 6, 3 (1963) 351.
    6. A theoretical basis for two neutrinos,Nuovo Cimento 31, (1964) 660. (Paper in pdf format)
    7. A scalar-tensor theory of gravitation in a modified Riemannian manifold,  Journal of Math. Physics 12, (1971) 578.
    8. On Weyl and Lyra manifolds,Journal of Math. Physics 13, (1972) 990.
    9. Projective manifolds and projective theory of relativity, Journal of Math. Physics 14, (1973) 1668.
    10. An exact solution of a scalar-tensor theory of gravitation,Journal of Math. Physics 14, (1973) 1933.
    11. A homomorphism theorem for the Poincare group,Int. Journal Theoretical Physics 10, (1974) 153.
    12. A class of singular space-times,General Relativity and Gravitation 5, (1974) 593.
    13. A correction to the Sen and Dunn gravitational field equations,  Journal of Math. Physics 16, (1975) 320.
    14. Uniqueness of time-like Killing vectors,Ann. Inst. Henri Poincare 23, 3 (1975).
    15. Analytic singularities and geodesic completeness I,Ann. Inst. Henri Poincare 23, 4 (1975).
    16. Analytic singularities and geodesic completeness II, Ann. Inst. Henri Poincare 23, 4 (1975).
    17. Unified structures on space-time, Proceedings of International Sympsium on Relativity and Unified Field Theory, Calcutta University, Dec. '75-Jan. '76.
    18. The special relativistic velocity-addition law and related functional equation, Int. Jour. of Theoretical Physics 18, 3 (1979) 179-184.
    19. 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.
    20. Yang-Mills Gauge and the Gravitational Gauge, Proc. of Conference on Differential Geometrie Methods in Theoretical Physics, Trieste, July, (1981).
    21. Hyperbolic 3-manifolds and Relativity Theory, Conf. Proc. of Differential Geometric Methods in Mathematical Physics, Varna, (1982).
    22. Connections on infinitesimal fiber bundles and unified theories,Journal of Math. Physics 26, (6) June (1985) 1160-61.
    23. Mapping of Connections on bundles and gauge field theories,Journal of Math. Physics 26, (6) June (1985) 1162-64.
    24. Lorentz action on the space of relative velocities and relativity on a 3-manifold,Journal of Math. Physics 31, (5) (1990) 1145-51.
    25. Relativity in 3-dimensions, Class. & Quant. Gravity,12, (1995), 553-577.
    26. Relativity on 3-manifolds, Gravitation & Cosmology, Vol.4, No.3, (1998), 226-228.
    27. Kerr and Schwarzschild black-holes in 3-dimensional relativity, Journal of Math. Physics 41, (2000), 7556-7572.
    28. Left and Right-handed Neutrinos and Baryon-Lepton masses, Journal of Math. Physics 48, No.2, (2007), 022304 1-8.
    29. On a neutrino theory of matter (Nov. 2009) (Preprint on request)
      30. .


    Books:

  1. "Fields and/or Particles", Academic Press, London, 1968.
  2. "Space, Time and Matter", World Scientific Publishing, Singapore & London, 2014.

      3. email: sen@math.utoronto.ca