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Publication List - K P Tod

  1. Spinning Test Particles in the field of a Black Hole, K.P. Tod, F. de Felice and M. Calvani, Nuovo Cimento 34B (1976) 365-379

  2. Two Examples of Massive Scattering using Twistor Hamiltonians, K.P. Tod and Z. Perjes, Gen.Rel.Grav. 7 (1976) 903-913

  3. Some Symplectic Forms arising in Twistor Theory, K.P. Tod, Rep.Math.Phys. 11 (1977) 339-346

  4. H-Space: A New Approach, M. Ko, E.T. Newman and K.P. Tod in Asymptotic Structure of Space-Time ed. F.P. Esposito and L. Witten, Plenum Press, N.Y. (1977)

  5. Approximate H-Spaces, E.T. Newman and K.P. Tod, Gen.Rel.Grav. 8 (1977) 679-687

  6. Twistor Surfaces and Right-Flat Spaces, E.T. Newman, J.R. Porter and K.P. Tod, Gen.Rel.Grav. 9 (1978) 1129-1142

  7. Invariants and Classification of Gauge Fields, J. Anandan and K.P. Tod, Phys.Rev. D18 (1978) 1144-1151

  8. The Metric and Curvature Properties of H-Space, R.O. Hansen, E.T. Newman, R. Penrose and K.P. Tod, Proc.Roy.Soc.Lond. A363 (1978) 445-468

  9. The Theory of H-Space, M. Ko, M. Ludvigsen, E.T. Newman and K.P. Tod, Phys.Rep. 71 (1981) 51-139

  10. An Example of an H-Space, G.A.J. Sparling and K.P. Tod, J.Math.Phys. 22 (1981) 331-332

  11. Asymptotically Flat Space-Times, E.T. Newman and K.P. Tod in General Relativity and Gravitation ed. A. Held (1980) Plenum Press, New York

  12. Remarks on Asymptotically Flat H-Spaces, K.P. Tod in Complex Manifold Techniques in Mathematical Physics ed. D. Lerner and P.D. Sommers, Pitman (1979)

  13. Self-dual Metrics with Self-dual Killing Vectors, K.P. Tod and R.S. Ward, Proc.Roy.Soc.Lond. A368 (1979) 411-427

  14. Singularities at Real Points of H-Space, K.P. Tod and J. Winicour, Gen.Rel.Grav. 12 (1980) 99-108

  15. A Note on Left-Flat Space-times, E.T. Newman and K.P. Tod, J.Math.Phys. 21 (1980) 874-877

  16. An Asymptotically Flat H-Space, K.P. Tod, Gen.Rel.Grav. 13 (1981) 109-122

  17. Curved Twistor Spaces and H-Space, K.P. Tod, Surveys in H.E.P. 1 (1980) 299-312

  18. Edth - A Differential Operator on the Sphere, M.G. Eastwood and K.P. Tod, Math.Proc. Camb.Phil.Soc. 92 (1982) 317-330

  19. The Singularities of H-Space, K.P. Tod, Math. Proc.Camb.Phil.Soc. 92 (1982) 331-347

  20. Asymptotically Flat H-Spaces, M. Ludvigsen, E.T. Newman and K.P. Tod, J.Math.Phys. 22 (1981) 818-822

  21. Self-dual Kerr-Schild Metrics and null Maxwell fields, K.P. Tod, J.Math.Phys. 23 (1983) 1147-1148

  22. A Relation Between Local and Total Energy in General Relativity, G.T. Horowitz and K.P. Tod, Comm.Math.Phys. 85 (1982) 429-447

  23. All Metrics admitting Super-covariantly Constant Spinors, K.P. Tod, Phys.Lett. 121B (1983) 241-244

  24. Some Examples of Penrose's Quasi-Local Mass Construction, K.P. Tod, Proc.Roy.Soc.Lond. A388 (1983) 457-477

  25. Quasi-Local Charges in Yang-Mills Theory, K.P. Tod, Proc.Roy.Soc.Lond. A389 (1983) 369-377

  26. Three-Surface Twistors and Conformal Embedding, K.P. Tod, Gen.Rel.Grav. 16 (1984) 435-443

  27. Positivity of the Bondi Energy, O. Reula and K.P. Tod, J.Math.Phys. 25 (1984) 1004-1008

  28. Conformal Einstein Spaces, C. Kozameh, E.T. Newman and K.P. Tod, Gen.Rel.Grav. 17 (1985) 343-352

  29. Penrose's Quasi-Local Mass and the Isoperimetric Inequality for Static Black Holes, K.P. Tod, Jour.Class.Quant.Grav. 2 (1985) L65-L68

  30. Minitwistor-Spaces and Einstein-Weyl Spaces, P.E. Jones and K.P. Tod, Jour.Class.Quant.Grav. 2 (1985) 565-577

  31. A Comment on a Paper of Chinea, K.P. Tod, Phys.Rev.Lett. 54 (1985) 1594

  32. An Introduction to Twistor Theory, S.A. Huggett and K.P. Tod, L.M.S. student text series, C.U.P. (1985)

  33. More on Penrose's quasi-local mass, K.P. Tod, Jour.Class.Quant.Grav. 3 (1986) 1169-1189

  34. Quasi-local mass for small surfaces, R.M. Kelly, K.P. Tod and N.M.J. Woodhouse, Jour.Class. Quant.Grav. 3 (1986) 1151-1167

  35. Book Review: Spinors and Spacetime 2, K.P. Tod, Gen.Rel.Grav. 19 (1987) 427-432

  36. Quasi-local mass and cosmological singularities, K.P. Tod, Jour.Class.Quant.Grav. 4 (1987) 1457-1468

  37. Spinors, Twistors and Complex Methods, K.P. Tod in Proceedings of GR11, ed. M.A.H. MacCallum, Cambridge: C.U.P. (1987)

  38. The integral constraint vectors of Traschen and three-surface twistors, K.P. Tod, Gen.Rel.Grav. 20 (1988) 1297-1308

  39. Three-dimensional Einstein-Weyl geometry, H. Pedersen and K.P. Tod, Adv. in Math. 97 (1993) 74-109

  40. Analogues of the past horizon in Robinson-Trautman metrics, K.P. Tod, Jour.Class.Quant.Grav. 6 (1989) 1159-1163

  41. Isotropic singularities and the $\gamma = 2$ equation of state, K.P. Tod, Jour.Class.Quant.Grav. 7 (1990) L13-L16

  42. Three-dimensional Einstein-Weyl Geometry, K.P. Tod in Geometry of Low-dimensional Manifolds L.M.S. Lecture Note Series 150, ed. S. Donaldson and C.B. Thomas, Cambridge C.U.P (1990)

  43. Penrose's quasi-local mass, K.P. Tod in Twistors in mathematics and physics L.M.S. Lecture Note Series 156, ed T.N. Bailey and R.J. Baston, Cambridge C.U.P (1990)

  44. Geodesic deviation and mini-kowski space, D. Barraco, C. Kozameh, E.T. Newman and K.P. Tod, Gen.Rel.Grav. 22 (1990) 1009-1019

  45. Penrose's quasi-local mass and cylindrically symmetric space-times, K.P. Tod, Jour.Class. Quant.Grav. 7 (1990) 2237-2266

  46. Classical gravity workshop: chairman's report, K.P. Tod, in Recent Advances in General Relativity ed A.I. Janis and J.R. Porter, Birkhauser Boston (1992)

  47. The cut-function and the stutzfunction, K.P. Tod, in Recent Advances in General Relativity ed A.I. Janis and J.R. Porter, Birkhauser Boston (1992)

  48. Einstein metrics and hyperbolic monopoles, H. Pedersen and K.P. Tod, Jour.Class.Quant.Grav. 8 (1991) 751-760

  49. Three-dimensional compact Einstein Weyl spaces, K.P. Tod J.Lond.Math.Soc. 45 (1992) 341-351

  50. An Introduction to General Relativity, L.P. Hughston and K.P. Tod, L.M.S. student text series, Cambridge C.U.P (1990)

  51. A comment on a paper of Pedersen and Poon, K.P. Tod, Jour.Class.Quant.Grav. 8 (1991) 1049-1051

  52. Isotropic singularities and the polytropic equation of state, K.P. Tod, Jour.Class.Quant.Grav. 8 (1991) L77-L82

  53. Looking for marginally trapped surfaces, K.P.Tod, Jour.Class.Quant.Grav. 8 (1991) L115-L118

  54. Isotropic Singularities, K.P. Tod, Rend.Sem.Mat.Torino 50 (1992) 69-92

  55. On choosing coordinates to diagonalise the metric, K.P. Tod Jour.Class.Quant.Grav. 9 (1992) 1693-1705

  56. The Hoop conjecture and the Gibbons-Penrose construction of trapped surfaces, K.P. Tod, Jour.Class.Quant.Grav. 9 (1992) 1581-1591

  57. Mach's Principle and Isotropic Singularities, K.P. Tod in The Renaissance of General Relativity and Cosmology eds. G. Ellis, A. Lanza and J. Miller, Cambridge C.U.P. (1993)

  58. Liénard-Wiechert Yang Mills Fields, K.P. Tod in Spinors, twistors, Clifford algebras and quantum deformations eds. Z. Oziewicz, B. Jancewicz and A. Borowiec, Kluwer: Dordrecht (1993)

  59. Quasi-local mass, K.P. Tod, in Further Advances in Twistor Theory Vol II eds. L.P. Hughston, L.J. Mason and P.Z. Kobak, Longman Scientific and Technical (1995)

  60. Penrose's quasi-local-mass and a numerically-computed space-time, D. Bernstein and K.P. Tod, Phys.Rev. D49 (1994) 2808-2819

  61. Mach's Principle revisited, K.P. Tod, Gen.Rel.Grav. 26 (1994) 103-111

  62. Cohomogeneity-one metrics with self-dual Weyl tensor, K.P. Tod in Twistor theory ed. S. Huggett, New York, Marcel Dekker (1995)

  63. Conical singularities and torsion, K.P. Tod, Jour.Class.Quant.Grav. 11 (1994) 1331-1339

  64. Self-dual Einstein metrics from the Painlevé VI equation, K.P. Tod, Phys.Lett. A190 (1994) 221-224

  65. An Introduction to Twistor Theory: 2nd edition, S.A. Huggett and K.P. Tod, L.M.S. Student text 4, Cambridge C.U.P. (1994)

  66. More on supercovariantly constant spinors, K.P. Tod, Jour.Class.Quant.Grav. 12 (1995) 1801-1820

  67. Scalar flat Kähler and HyperKähler metrics from Painlevé III, K.P. Tod, Jour.Class.Quant.Grav. 12 (1995) 1535-1547

  68. A non-Hausdorff mini-twistor space

  69. The 3-wave interaction from the self-dual Yang-Mills equations

  70. Harmonic morphisms and mini-twistor space

  71. More on harmonic morphisms

  72. An occurrence of Pell's equation in twistor theory

  73. More on quasi-local mass

    (68-73: K.P. Tod 1995 as for ref. 59)

  74. Local heterotic geometry and self-dual Einstein-Weyl spaces, K.P. Tod, Jour.Class.Quant.Grav. 13 (1996) 2609-2616

  75. (4,0) and (4.4) sigma models with a tri-holomorphic Killing vector, T. Chave, K.P. Tod and G. Valent, Phys.Lett. B383 (1996) 262-270

  76. The $SU(\infty)$ Toda field equation and special metrics, K.P. Tod, in Geometry and Physics, eds. J.E. Andersen, J. Dupont, H. Pedersen and A. Swann, New York, Marcel Dekker (1997)

  77. Hyperhermitian metrics with symmetry, P.Gauduchon and K.P.Tod Jour.Geom.Phys. 25 (1998) 291-304

  78. Isotropic cosmological singularities and the Einstein-Vlasov equations, K. Anguige and K.P. Tod in Nonlinear Analysis, Theory, Methods and Applications 30 (1997) 3599-3603 Proc. 2nd World Congress of Nonlinear Analysis

  79. Local constraints on Einstein-Weyl geometries, M.G. Eastwood and K.P. Tod J.reine.angew. Math. 491 (1997) 183-198

  80. The Geometric Universe: science, geometry and the work of Roger Penrose eds. S.A.Huggett, L.J.Mason, K.P.Tod, S.T.Tsou and N.M.J.Woodhouse, Oxford, O.U.P. 1998

  81. Some new scalar-flat Kahler and hyper-Kahler metrics

  82. Indefinite conformally anti-self-dual metrics on $S^2\times S^2$

  83. Metrics with self-dual Weyl tensor from Painlevé VI

  84. The good cut equation revisited

    (81-84 K.P. Tod in Further Advances in Twistor Theory Vol. III: Curved twistor spaces, eds. L.J. Mason, L.P. Hughston, P.Z. Kobak and K. Pulverer, Chapman and Hall/CRC (2001))

  85. Four-dimensional D'Atri Einstein spaces are locally symmetric, K.P. Tod Diff. Geom.Applns. 11 (1999) 55-67

  86. Isotropic cosmological singularities, K.P. Tod in XIIth International Congress of Mathematical Physics eds D. De Wit, A.J.Bracken, M.D.Gould and P.A.Pearce, Boston, International Press, 1999

  87. Trapped surfaces in prolate collapse in the Gibbons-Penrose constuction, M.A. Pelath, K.P. Tod and R.M. Wald Jour.Class.Quant.Grav. 15 (1998) 3917-3934

  88. The Ledger curvature conditions and D'Atri geometry, H. Pedersen and K.P. Tod Diff.Geom.Applns. 11 (1999) 155-162

  89. Local constraints on Einstein-Weyl geometries: the three-dimensional case, M.G. Eastwood and K.P. Tod Ann.Glob.An.Geom. 18 (2000) 1-27

  90. General Relativity, K.P. Tod in Surveys in differential geometry vol VI: essays on Einstein manifolds eds. C.R. LeBrun and M. Wang, Boston, International Press (1999)

  91. Spherically-symmetric solutions of the Schrödinger-Newton equations, I. Moroz, R. Penrose and K.P. Tod Jour.Class.Quant.Grav. 15 (1998) 2733-2742

  92. An analytical approach to the Schrödinger-Newton equations, I. Moroz and K.P. Tod Nonlinearity 12 (1999) 201-216

  93. Dynamics of spatially-homogeneous solutions of the Einstein-Vlasov equations which are locally-rotationally symmetric, A. Rendall and K.P. Tod Class.Quant.Grav. 16 (1999) 1705-1726

  94. Isotropic cosmological singularities I: polytropic perfect-fluid space-times, K.Anguige and K.P.Tod Ann.Phys. 276 (1999) 257-293

  95. Isotropic cosmological singularities II: the Einstein-Vlasov system, K.Anguige and K.P.Tod Ann.Phys. 276 (1999) 294-320

  96. Einstein metrics, hypercomplex structures and the Toda field equation, D.M.J.Calderbank and K.P.Tod Diff.Geom.Applns. 14 (2001) 199-208

  97. Newtonian-like congruences, K.P.Tod Jour.Class.Quant.Grav. 16 (1999) 1479-1486

  98. Einstein-Weyl structures from hyper-Kähler metrics with conformal Killing vectors, M.Dunajski and K.P.Tod, Diff.Geom.Applns. 14 (2001) 39-55

  99. Spatial metrics which are static in many ways, K.P.Tod, Gen.Rel.Grav. 32 (2000) 2079-2090

  100. Einstein-Weyl geometry, the dKP equation and twistor theory, M.Dunajski, L.J.Mason and K.P.Tod, Jour.Geom.Phys. 37 (2001) 63-93

  101. Six lectures on spinor calculus and conformal invariance, K.P.Tod (given at TÜBITAK March-April 1999)

  102. Curvature and integrability for Bianchi-type IX metrics, K.P.Tod (given at TÜBITAK April 1999)

  103. Einstein-Weyl spaces and third-order differential equations, K.P.Tod, J.Math.Phys. 41 (2000) 5572-5581

  104. The ground state energy of the Schrödinger-Newton equation, K.P.Tod, Phys.Lett. A280 (2001) 173-176

  105. Isotropic cosmological singularities, K.P.Tod, in The conformal structure of space-time: geometry, analysis, numerics eds. J. Frauendiener and H.Friedrich, Springer Lecture Notes in Physics, Berlin 2002

  106. Report on A2: spinors, twistors and connection variables, K.P.Tod, in GENERAL RELATIVITY AND GRAVITATION Proceedings of the 16th International Conference eds. N.T.Bishop and S.D. Maharaj, World Scientific 2002

  107. A numerical study of the Schrödinger-Newton equations 1: Perturbing the spherically-symmetric stationary states, R.Harrison, I.Moroz and K.P.Tod, math-ph/0208045

  108. A numerical study of the Schrödinger-Newton equations 2: The time-dependent problem, R.Harrison, I.Moroz and K.P.Tod, math-ph/0208046

  109. Einstein-Weyl spaces and dispersionless Kadomtsev-Petviashvili equation from Painlevé I and II, M.Dunajski and K.P.Tod, Phys.Lett. A303 (2002) 253-264 (nlin.SI/0204043)

  110. A numerical study of the Schrödinger-Newton equations, R.Harrison, I.Moroz and K.P.Tod, Nonlinearity 16 (2003) 101-122

  111. Stochastic Schrödinger evolution and symmetric Kähler manifolds of low dimension, L.P.Hughston and K.P.Tod, quant-ph/0212107

  112. Isotropic cosmological singularities: other matter models, K.P.Tod, Jour.Class.Quant.Grav. 20(2003) 521-534 gr-qc/0209071

  113. Linking, Legendrian linking and causality, J. Natario and K.P.Tod, to appear in Proc.L.M.S. gr-qc/0210036

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K P Tod 2003-09-23