Volterra distortions, spinning strings, and cosmic defects

Classical and Quantum Gravity

Volumn 14, Issue 5, 1997, Pages 1129-1149

  Puntigam, Roland A ^a   Soleng, Harald H ^b,c  

^a UNIVERSITY OF COLOGNE   (Germany)

^b CERN   (Switzerland)

^c NORWEGIAN COMPUTING CENTER   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040453807     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/14/5/017     Document Type: Article

References (64)

1. Vilenkin A 1981 Gravitational field of vacuum domain walls and strings Phys. Rev. D 23 852-7
2. Gibbons G W, Hawking S W and Vachaspati T (ed) 1990 The Formation and Evolution of Cosmic Strings (Cambridge: Cambridge University Press)
3. Vilenkin A and Shellard E P S 1994 Cosmic String and Other Topological Defects (Cambridge: Cambridge University Press)
4. Hiscock W A 1985 Exact gravitational field of a string Phys. Rev. D 31 3288-90
5. Vickers J A G 1987 Generalized cosmic strings Class. Quantum Grav. 4 1-9
6. Hehl F W, von der Heyde P, Kerlick G D and Nester J 1976 General relativity with spin and torsion: Foundations and prospects Rev. Mod. Phys. 48 393-416
7. Bekenstein J D 1992 Chiral cosmic strings Phys. Rev. D 45 2794-801
8. Letelier P S 1995 Spinning cosmic strings as torsion line spacetime defects Class. Quantum Grav. 12 471-8
9. Holz A 1992 Topological properties of linked disclinations and dislocations in solid continua J. Phys. A: Math. Gen. 25 L1-10
10. Gal'tsov D V and Letelier P S 1993 Spinning strings and cosmic dislocations Phys. Rev. D 47 2473-6
11. Edelen D G B 1994 Space-time defect solutions of the Einstein field equations Int. J. Theor. Phys. 33 1315-34
12. Tod K P 1994 Conical singularities and torsion Class. Quantum Grav. 11 1331-9
13. Holz A 1988 Geometry and action of arrays of disclinations in crystals and relation to (2 + 1)-dimensional gravitation Class. Quantum Grav. 5 1259-82
14. de Sousa Gerbert P 1990 On spin and (quantum) gravity in (2 + 1) dimensions Nucl. Phys. B 346 440-72
15. Kohler C 1995 Point particles in 2 + 1 dimensional gravity as defects in solid continua Class. Quantum Grav. 12 L11-15
16. Kohler C 1995 Line defects in solid continua and point particles in (2 + 1)-dimensional gravity Class. Quantum Grav. 12 2977-93
17. Volterra V 1907 Sur l'équilibre des corps élastiques multiplement connexes Ann. Ec. Norm. Sup. 24 401-517
18. Nabarro F R N 1967 Theory of Crystal Dislocations (The International Series of Monographs on Physics) (Oxford: Oxford University Press) section 8.4.3 on timelike dislocations
19. Kléman M 1980 The general theory of disclinations Dislocations in Solids vol 5, ed F R N Nabarro (Amsterdam: North-Holland) p 243-97
20. Kröner E 1981 Continuum theory of defects Physics of Defects, Les Houches, Session 35 ed R Balian, M Kléman and J-P Poirier (Amsterdam: North-Holland)
21. Marder L 1959 Flat space-times with gravitational fields Proc. R. Soc. A 252 45-50
22. Marder L 1962 Locally isometric spacelimes Recent Developments in General Relativity - Volume Dedicated to Leopold Infeld in Connection with his 60th Birthday (Oxford: Pergamon) pp 333-8
23. Geroch R and Traschen J 1987 Strings and other distributional sources in general relativity Phys. Rev. D 36 1017-31
24. Clarke C J S, Vickers J A and Wilson J P 1996 Generalized functions and distributional curvature of cosmic strings Class. Quantum Grav. 13 2485-98
25. Gott J R III 1985 Gravitational lensing effects of vacuum strings: exact solutions Astrophys. J. 288 422-7
26. Linet B 1985 The static metrics with cylindrical symmetry describing a model of cosmic strings Gen. Rel. Grav. 17 1109-15
27. Soleng H H 1990 Spin-polarized cylinder in Einstein-Cartan theory Class. Quantum Grav. 7 999-1007
28. Soleng H H 1992 A spinning string Gen. Rel. Grav. 24 111-7
29. Sakharov A D 1967 Vacuum quantum fluctuations in curved space and the theory of gravitation Dokl. Akad. Nauk SSSR 177 70-1 (Engl. transl. 1968 Sov. Phys. Dokl. 12 1040-1)
30. Kröner E 1990 The differential geometry of elementary point and line defects in Bravais crystals Int. J. Theor. Phys. 29 120-37
31. Mistura L 1990 Cartan connection and defects in Bravais lattices Int. J. Theor. Phys 29 1207-18
32. Kadić A and Edelen D G B 1983 A Gauge Theory of Dislocations and Disclinations (Lecture Notes in Physics 174) (Berlin: Springer)
33. Kröner E 1986 On gauge theory in defect mechanics Trends in Applications of Pure Mathematics to Mechanics (Lecture Notes in Physics 249) ed E Kröner and K Kirchgässner (Berlin: Springer) pp 281-94.
34. Kleinert H 1989 Gauge Fields in Condensed Matter vol II (Singapore: World Scientific)
35. Rivier N 1990 Gauge theory and geometry of condensed matter Geometry in Condensed Matter Physics. Directions in Condensed Matter Physics vol 9, ed J F Sadoc (Singapore: World Scientific) pp 1-88
36. Malyshev C 1993 Underlying algebraic and gauge structures of the theory of disclinations Arch. Mech. 45 93-105
37. Tseytlin A A 1982 Poincaré and do Sitter gauge theories of gravity with propagating torsion Phys. Rev. D 263327-41
38. Ivanenko D and Sardanashvily G 1983 The gauge treatment of gravity Phys. Rep. 94 1-45
39. Mielke E W, McCrea J D, Ne'eman Y and Hehl F W 1993 Avoiding degenerate coframes in an affine gauge approach to quantum gravity Phys. Rev. D 48 673-9
40. Hehl F W, McCrea J D, Mielke E W and Ne'eman Y 1995 Metric-affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance Phys. Rep. 258 1-171
41. Mielke E W 1987 Geometrodynamics of Gauge Fields (Physical Research 3) (Berlin: Akademie)
42. Grignani G and Nardelli G 1992 Gravity and the Poincaré group Phys. Rev. D 45 2719-31
43. Trautman A 1979 The geometry of gauge fields Czech. J. Phys. B 29 107-16
44. Yang C N 1974 Integral formalism for gauge fields Phys. Rev. Lett. 33 445-7
45. Bezerra V B and Letelier P S 1991 Holonomy transformations and a class of spacetime topological defects Class. Quantum Grav. 8 L73-6
46. Petti R J 1986 On the local geometry of rotating matter Gen. Rel. Grav. 18 441-61
47. Göckeler M and Schücker T 1987 Differential Geometry, Gauge Theories, and Gravity (Cambridge Monographs in Mathematical Physics) (Cambridge: Cambridge University Press)
48. Trautman A 1973 On the structure of the Einstein-Cartan equations Differential Geometry, Symposia Mathematica vol 12 (London: Academic) pp 139-62
49. Baekler P, Mielke E W and Hehl F W 1992 Dynamical symmetries in topological 3D gravity with torsion Nuovo Cimento B 107 91-110
50. Hehl F W, Von der Heyde P and Kerlick G D 1974 General relativity with spin and torsion and its deviations from Einstein's theory Phys. Rev. D 10 1066-9
51. Kerlick G D 1975 Cosmology and particle production via gravitaitonal spin-spin interaction in the Einstein-Cartan-Sciama-Kibble theory of gravity Phys. Rev. D 12 3004-6
52. Smalley L S and Krisch J P 1994 Energy conditions in non-Riemannian spacetimes Phys. Lett. A 196 147-53
53. Obukhov Yu N and Tresguerres R 1993 Hyperfluid - a model of classical matter with hypermomentum Phys. Lett. A 184 17-22
54. Obukhov Yu N 1996 On a model of an unconstrained hyperfluid Phys. Lett. A 210 163-7
55. Arkuszewski W, Kopczyński W and Ponomariev V N 1975 Matching conditions in the Einstein-Cartan theory of gravitation Commun. Math. Phys. 45 183-90
56. Chmielowski P 1992 Matching and junction conditions in the Poincaré gauge theory of gravity with quadratic Lagrangian Prog. Theor. Phys. 88 691-702
57. Soleng H H 1994 Negative energy densities in extended sources generating closed timelike curves in general relativity with and without torsion Phys. Rev. D 49 1124-5
58. Mazur P O 1986 Induced angular momentum on superconducting cosmic strings Phys. Rev. D 34 1925-7
59. Ray J R and Smalley L R 1982 Improved perfect-fluid energy-momentum tensor with spin in Einstein-Cartan spacetime Phys. Rev. Lett. 49 1059-61 Erratum 1983 Phys. Rev. Lett. 50 623
60. Ray J R and Smalley L R 1982 Improved perfect-fluid energy-momentum tensor with spin in Einstein-Cartan spacetime Phys. Rev. Lett. 49 1059-61 Erratum 1983 Phys. Rev. Lett. 50 623
61. Krisch J P 1996 A family of strings with spin Gen. Rel. Grav. 28 69-76
62. Hearn A C 1993 REDUCE User's Manual, Version 3.5 RAND Publication CP78 (Rev. 10/93), The RAND Corporation, Santa Monica, CA 90407-2138
63. Schrüfer E 1994 EXCALC: A System for Doing Calculations in the Calculus of Modern Differential Geometry GMD, Institut 11, D-53757 St Augustin, Germany
64. Soleng H H 1996 Tensors in Physics: User's Guide and Disk for the Mathematica Package CARTAN, Version 1.2 (Oslo: Scandinavian University Press)