Publication List

In this publication list there are links to those papers which are available from the electronic archives gr-qc , math-ph and dg-ga. An overview of the relations between many of these papers may be got by looking at my article in Living Reviews gr-qc/0505133 .
  1. Mathematics of the NFAT signalling pathway. Preprint arXiv:1201.1094
  2. Multiple steady states in a mathematical model for interactions between T cells and macrophages. Preprint arXiv:1107.5426
  3. (with M. Dafermos) Strong cosmic censorship for surface-symmetric cosmological spacetimes with collisionless matter. Preprint gr-qc/0701034
  4. (with M. Dafermos) Strong cosmic censorship for $T^2$-symmetric cosmological spacetimes with collisionless matter. Preprint gr-qc/0610075
  5. Dynamics of solutions of the Einstein equations with twisted Gowdy symmetry. J. Geom. Phys. 62, 569-577 (2012). arXiv:1011.2317
  6. (with P. G. LeFloch) A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on T3. Arch. Rat. Mech. Anal. 201, 841-870 (2011). arXiv:1004.0427
  7. (with J. J. L. Velázquez) A class of dust-like self-similar solutions of the massless Einstein-Vlasov system. Ann. H. Poincaré 12, 919-964 (2011). arXiv:1009.2596
  8. (with H. J. Hwang and J. J. L. Velázquez) Optimal gradient estimates and asymptotic behaviour for the Vlasov-Poisson system with small initial data. Arch. Rat. Mech. Anal. 200, 313-360 (2011). math.AP/0606389 .
  9. Analysis of a mathematical model for interactions between T cells and macrophages. Electr. J. Diff. Eq. 2010, 115 (2010). arXiv:1006.2527
  10. (with P. T. Allen) Asymptotics of linearized cosmological perturbations. J. Hyp. Diff. Eq. 7, 255-277 (2010). arXiv:0906.2517
  11. (with A. Gödeke) Future geodesic completeness of some spatially homogeneous solutions of the vacuum Einstein equations in higher dimensions. Class. Quantum Grav. 27, 155019 (2010). arXiv:1002.1851
  12. (with E. Nungesser) Strong cosmic censorship for solutions of the Einstein-Maxwell equations with polarized Gowdy symmetry. Class. Quantum Grav. 26, 105019 (2009). arXiv:0901.4000
  13. (with F. Ståhl) Shock waves in plane symmetric spacetimes. Commun. PDE 33, 2020-2039 (2008). arXiv:0806.1597
  14. (with N. Berndt) Isotropization in the approach to big rip singularities for Cardassian models. Class. Quantum Grav. 25, 145007 (2008). arXiv:0804.3693
  15. Late-time oscillatory behaviour for self-gravitating scalar fields. Class. Quantum Grav. 24, 667-677 (2007). gr-qc/0611088
  16. (with J. M. Heinzle) Power-law inflation in spacetimes without symmetry. Commun. Math. Phys. 269, 1-15 (2007). gr-qc/0506134 .
  17. (with D. Tegankong) On the nature of initial singularities for solutions of the Einstein-Vlasov-scalar field system with surface symmetry. Math. Proc. Camb. Phil. Soc. 141, 547-562 (2006). gr-qc/0505131 .
  18. (with S. Bauer, M. Kunze and G. Rein) Multipole radiation in a collisionless gas coupled to electromagnetism or scalar gravitation. Commun. Math. Phys. 266, 267-288 (2006). math-ph/0508057 .
  19. Mathematical properties of cosmological models with accelerated expansion. In Frauendiener, J., Giulini, D. J. W. and Perlick, V. (eds) Analytical and numerical approaches to mathematical relativity. Lecture Notes in Physics 692. Springer, Berlin (2006). gr-qc/0408053
  20. Dynamics of $k$-essence. Class. Quantum Grav. 23, 1557-1569 (2006). gr-qc/0511158
  21. (with J. M. Heinzle and C. Uggla) Theory of Newtonian self-gravitating stationary spherically symmetric systems. Math. Proc. Camb. Phil. Soc. 140, 177-192 (2006). math-ph/0408045
  22. (with M. Dafermos) Inextendibility of expanding cosmological models with symmetry. Class. Quantum Grav. 22, L143-L147 (2005). gr-qc/0509106 .
  23. Theorems on existence and global dynamics for the Einstein equations. Living Reviews in Relativity lrr-2005-6 (2005). gr-qc/0505133 .
  24. The nature of spacetime singularities. In Ashtekar, A.: 100 years of relativity. Spacetime structure: Einstein and beyond. World Scientific, Singapore (2005). gr-qc/0503112
  25. Intermediate inflation and the slow-roll approximation. Class. Quantum Grav. 22, 1655-1666 (2005). gr-qc/0501072
  26. (with M. Dafermos) An extension principle for the Einstein-Vlasov system in spherical symmetry. Ann. H. Poincare 6, 1137-1155 (2005). gr-qc/0411075
  27. (with D. Tegankong and N. Noutchegueme) Local existence and continuation criteria for solutions of the Einstein-Vlasov-scalar field system with surface symmetry. J. Hyp. Diff. Eq. 1, 691-724 (2004). gr-qc/0405039
  28. Asymptotics of solutions of the Einstein equations with positive cosmological constant. Ann. H. Poincare 5, 1041-1064 (2004). gr-qc/0312020
  29. Accelerated cosmological expansion due to a scalar field whose potential has a positive lower bound. Class. Quantum Grav. 21, 2445 - 2454 (2004). gr-qc/0403070
  30. Fuchsian methods and spacetime singularities. Class. Quantum Grav. 21, S295-S304 (2004). gr-qc/0303071
  31. (with P. Noundjeu and N. Noutchegueme) Existence of initial data satisfying the constraints for the spherically symmetric Einstein-Vlasov-Maxwell system. J. Math. Phys. 45, 668-676 (2004). gr-qc/0303064
  32. (with H. Andréasson and M. Weaver) Existence of CMC and constant areal time foliations in T^2 symmetric spacetimes with Vlasov matter. Commun. PDE 29, 237-262 (2004). gr-qc/0211063
  33. The Einstein-Vlasov system. In Chrusciel, P. T. and Friedrich, H. (eds.) The Einstein equations and the large scale behavior of gravitational fields. Birkhauser, Basel (2004). gr-qc/0208082
  34. (with S. B. Tchapnda) Global existence and asymptotic behaviour in the future for the Einstein-Vlasov system with positive cosmological constant. Class. Quantum Grav. 20, 3037-3049 (2003). gr-qc/0305059
  35. (with H. Andréasson and G. Rein) On the Einstein-Vlasov system with hyperbolic symmetry. Math. Proc. Camb. Phil. Soc. 134, 529-549 (2003). gr-qc/0110089
  36. Theorems on existence and global dynamics for the Einstein equations. Living Reviews in Relativity 5, 6 (2002). gr-qc/0203012
  37. (with T. Damour, M. Henneaux and M. Weaver) Kasner-like behaviour for subcritical Einstein-matter systems. Ann. H. Poincare 3, 1049-1111 (2002). gr-qc/0202069
  38. Cosmological models and centre manifold theory. Gen. Rel. Grav. 34, 1277-1294 (2002). gr-qc/0112040
  39. Applications of the theory of evolution equations to general relativity. In Bishop, N. T. and Maharaj, S. N. (eds) Proceedings of the 16th International Conference on General Relativity and Gravitation. World Scientific, 2002. gr-qc/0109028
  40. (with M. Kunze) Simplified models of electromagnetic and gravitational radiation damping. Class. Quantum Grav. 18, 3573-3587 (2001). gr-qc/0105045
  41. (with M. Weaver) Manufacture of Gowdy spacetimes with spikes. Class. Quantum Grav. 18, 2959-2975 (2001). gr-qc/0103102
  42. (with M. Kunze) The Vlasov-Poisson system with radiation damping. Ann. H. Poincare 2, 857-886 (2001). math-ph/0012041
  43. (with L. Andersson) Quiescent cosmological singularities. Commun. Math. Phys. 218, 479-511 (2001). gr-qc/0001047
  44. Blow-up for solutions of hyperbolic PDE and spacetime singularities. In Depauw, N., Robert, D. and Saint Raymond, X. (eds) Journees Equations aux Derivees Partielles, Nantes, 2000. CNRS, Nantes. gr-qc/0006060
  45. (with C. Uggla) Dynamics of spatially homogeneous locally rotationally symmetric solutions of the Einstein-Vlasov equations. Class. Quantum Grav. 17, 4697-4713 (2000). gr-qc/0005116
  46. Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity. Class. Quantum Grav. 17, 3305-3316 (2000). gr-qc/0004044
  47. (with H. Friedrich) The Cauchy problem for the Einstein equations. In B. G. Schmidt (ed) Einstein's Field Equations and Their Physical Implications. Lecture Notes in Physics 540. Springer, Berlin (2000). gr-qc/0002074
  48. Local and global existence theorems for the Einstein equations. Living Reviews in Relativity 3, 1 (2000). gr-qc/0001008
  49. (with G. Rein) Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics. Math. Proc. Camb. Phil. Soc. 128, 363-380 (2000). gr-qc/9812061
  50. (with K. P. Tod) Dynamics of spatially homogeneous solutions of the Einstein-Vlasov equations which are locally rotationally symmetric. Class. Quantum Grav. 16, 1705-1726 (1999). gr-qc/9811051
  51. (with G. Rein and J. Schaeffer) Critical collapse of collisionless matter - a numerical investigation. Phys. Rev. D58, 044007 (1998). gr-qc/9804040
  52. The structure of singularities in inhomogeneous cosmological models. In Rainer, M., Schmidt, H.-J. (eds) Current topics in mathematical cosmology, pp. 118-122. World Scientific, 1998. gr-qc/9804036
  53. (with J. Isenberg) Cosmological spacetimes not covered by a constant mean curvature slicing. Class. Quantum Grav. 15, 3679-3688 (1998). gr-qc/9710053
  54. Compact null hypersurfaces and collapsing Riemannian manifolds. Mathematische Nachrichten 193, 111-118 (1998). dg-ga/9510002
  55. Local and global existence theorems for the Einstein equations. Living Reviews in Relativity 1, 4 (1998).
  56. (with S. Kichenassamy) Analytic description of singularities in Gowdy spacetimes. Class. Quantum Grav. 15, 1339-1355 (1998). Preprint version here .
  57. Global dynamics of the Mixmaster model. Class. Quantum Grav. 14, 2341-2356 (1997). gr-qc/9703036
  58. Existence and non-existence results for global constant mean curvature foliations. Nonlinear Analysis, Theory, Methods and Applications 30, 3589-3598 (1997). gr-qc/9608045
  59. Existence of constant mean curvature hypersurfaces in spacetimes with two-dimensional local symmetry. Commun. Math. Phys. 159, 145-164 (1997). gr-qc/9605022
  60. An introduction to the Einstein-Vlasov system. Banach Centre Publications 41, 35-68 (1997). gr-qc/9604001
  61. Solutions of the Einstein equations with matter. In M. Francaviglia, G. Longhi, L. Lusanna, E. Sorace (eds.) Proceedings of the 14th International Conference on General Relativity and Gravitation, pp.313-335. World Scientific, 1997. gr-qc/9510009
  62. Constant mean curvature foliations in cosmological spacetimes. Helvet. Phys. Acta 69, 490-500 (1996). gr-qc/9606049
  63. (with G. A. Burnett) Existence of maximal hypersurfaces in some spherically symmetric spacetimes. Class. Quantum Grav. 13, 111-123 (1996). gr-qc/9508001
  64. The initial singularity in solutions of the Einstein-Vlasov system of Bianchi type I. J. Math Phys. 37, 438-451 (1996). gr-qc/9505017
  65. Global properties of locally spatially homogeneous cosmological models with matter. Math. Proc. Camb. Phil. Soc. 118, 511-526 (1995). gr-qc/9409009
  66. (with P. Chrusciel) Strong cosmic censorship in vacuum space-times with compact locally homogeneous Cauchy surfaces. Ann. Phys. 242, 349-385 (1995). gr-qc/9410040
  67. Crushing singularities in spacetimes with spherical, plane and hyperbolic symmetry. Class. Quantum Grav. 12, 1517-1533 (1995). gr-qc/9411011
  68. On the nature of singularities in plane symmetric scalar field cosmologies. Gen. Rel. Grav. 27, 213-221 (1995). gr-qc/9408001
  69. (with G. Rein and J. Schaeffer) A regularity theorem for solutions of the spherically symmetric Vlasov-Einstein system. Commun. Math. Phys. 168, 467-478 (1995). gr-qc/9306020
  70. Adjointness relations as a criterion for choosing an inner product. In: J. Ehlers, H. Friedrich (eds.), Canonical gravity: from classical to quantum (Springer: Berlin 1994). gr-qc/9403001
  71. (with U. Brauer and O. Reula) The cosmic no-hair theorem and the nonlinear stability of homogeneous Newtonian cosmological models. Class. Quantum Grav. 11, 2283-2296 (1994). gr-qc/9403050
  72. (with G. Rein) Global existence of classical solutions to the Vlasov-Poisson system in a three dimensional, cosmological setting. Arch. Rat. Mech. Anal. 126, 183-201 (1994). gr-qc/9306021
  73. Cosmic censorship for some spatially homogeneous cosmological models. Ann. Phys. 233, 82-96 (1994). gr-qc/9306011
  74. The Newtonian limit for asymptotically flat solutions of the Vlasov-Einstein system. Commun. Math. Phys. 163:89-112 (1994). gr-qc/9303027
  75. Unique determination of an inner product by adjointness relations in the algebra of quantum observables. Class. Quantum Grav. 10:2261-2269 (1993). gr-qc/9303026
  76. (with J. Rauch) Blow-up of test fields near Cauchy horizons. Lett. Math. Phys. 29:241-248 (1993). gr-qc/9306027
  77. Comment on a paper of Ashtekar and Isham. Class. Quantum Grav. 10:605-608 (1993).
  78. (with T. Baumgarte) Regularity of spherically symmetric static solutions of the Einstein equations. Class. Quantum Grav. 10:327-332 (1993).
  79. (with G. Rein) Smooth static solutions of the spherically symmetric Vlasov-Einstein system. Ann. Inst. H. Poincaré (Physique Théorique) 59:383-397 (1993)
  80. (with G. Rein) The Newtonian limit of the spherically symmetric Vlasov-Einstein system. Commun. Math. Phys. 150:585-591 (1992).
  81. (with G. Rein) Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data. Commun. Math. Phys. 150:561-583 (1992).
  82. On the choice of matter model in general relativity. In R. d'Inverno (ed.) Approaches to Numerical Relativity (Cambridge University Press: Cambridge 1992).
  83. On the definition of post-Newtonian approximations. Proc. R. Soc. Lond. 438:341-360 (1992).
  84. Cosmic censorship and the Vlasov equation. Class. Quantum Grav. 9:L99-L104 (1992).
  85. The initial value problem for self-gravitating fluid bodies. In K. Schmüdgen (ed.) Mathematical Physics X (Springer: Berlin 1992).
  86. The initial value problem for a class of general relativistic fluid bodies. J. Math. Phys. 33:1047-1053 (1992).
  87. The characteristic initial value problem for the Einstein equations. In Murthy, M.K.V. and Spagnolo, S. Nonlinear Hyperbolic Equations and Field Theory (Pitman:London 1992).
  88. (with B.G.Schmidt) Existence and properties of spherically symmetric static fluid bodies with given equation of state. Class. Quantum Grav. 8:985-1000 (1991).
  89. Stability in the characteristic initial value problem. In Z. Perjés (ed.) Relativity Today (Nova:New York 1991).
  90. Convergent and divergent perturbation series and the post-Minkowskian approximation scheme. Class. Quantum Grav. 7:803-812 (1990).
  91. Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations. Proc. R. Soc. Lond. A 427:221-239 (1990).
  92. (with G.S.Hall) Local and global algebraic structures in general relativity. Int. J. Theor. Phys. 28:365-375 (1989).
  93. (with G.S.Hall and W.Kay) The curvature problem in general relativity. Gen. Rel. Grav. 21:439-446 (1989).
  94. Describing spacetimes by their curvature. In R. Bartnik (ed.) Proc. Centre Math. Anal., Australian National University, 19 (1989).
  95. Insufficiency of the Bianchi and Ricci identities for characterising curvature. J. Geom. Phys. 6:159-163 (1989).
  96. The Robinson-Trautman equation and Lyapunov functions. In D.G. Blair , M.J. Buckingham (eds.) Proc. 5th Marcel Grossman Meeting, Part A (1989).
  97. Existence and asymptotic properties of global solutions of the Robinson-Trautman equation. Class. Quantum Grav. 5:1339-1347 (1988).
  98. The continuous determination of space-time geometry by the Riemann curvature tensor. Class. Quantum Grav. 5:695-705 (1988).
  99. Curvature of generic space-times in general relativity. J. Math. Phys. 29:1569-1574 (1988).
  100. (with G.S.Hall) Uniqueness of the metric from the Weyl and energy-momentum tensors. J. Math. Phys. 28:1837-1839 (1987).
  101. (with G.S.Hall) Sectional curvature in general relativity. Gen. Rel. Grav. 19:771-789 (1987).

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