Majumdar-Papapetrou-type solutions in the sigma-model and intersecting p-branes

Classical and Quantum Gravity

Volumn 16, Issue 3, 1999, Pages 849-869

  Ivashchuk, V D ^a   Melnikov, V N ^a  

^a Ctr for Gravitation and F   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033095391     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/16/3/016     Document Type: Article

References (89)

1. Majumdar S D 1947 Phys. Rev. 72 930 Papapetrou A 1947 Proc. R. Irish Acad. A 51 191
2. Majumdar S D 1947 Phys. Rev. 72 930 Papapetrou A 1947 Proc. R. Irish Acad. A 51 191
3. Chervon S V 1997 Non-Linear Fields in General Relativity and Cosmology (Ulyanovsk) (in Russian)
4. Ivashchuk V D and Melnikov V N 1996 Gravit. Cosmol. 2 204 (Ivashchuk V D and Melnikov V N 1996 Intersecting p-brane solutions in multidimensional gravity and M-theory Preprint hep-th/9612089)
5. Ivashchuk V D and Melnikov V N 1996 Gravit. Cosmol. 2 204 (Ivashchuk V D and Melnikov V N 1996 Intersecting p-brane solutions in multidimensional gravity and M-theory Preprint hep-th/9612089)
6. Ivashchuk V D and Melnikov V N 1997 Phys. Lett. B 403 23
7. Ivashchuk V D and Melnikov V N 1997 Class. Quantum Grav. 14 3001 (Ivashchuk V D and Melnikov V N 1997 Sigma-model for the generalized composite p-branes Preprint hep-th/9705036)
8. Ivashchuk V D and Melnikov V N 1997 Class. Quantum Grav. 14 3001 (Ivashchuk V D and Melnikov V N 1997 Sigma-model for the generalized composite p-branes Preprint hep-th/9705036)
9. Ivashchuk V D, Melnikov V N and Rainer M 1998 Gravit. Cosmol. 4 73 ( Ivashchuk V D, Melnikov V N and Rainer M 1997 Multidimensional σ-models with composite electric p-branes Preprint gr-qc/9705005)
10. Ivashchuk V D, Melnikov V N and Rainer M 1998 Gravit. Cosmol. 4 73 ( Ivashchuk V D, Melnikov V N and Rainer M 1997 Multidimensional σ-models with composite electric p-branes Preprint gr-qc/9705005)
11. Berezin V A, Domenech G, Levinas M L, Lousto C O and Umerez N D 1989 Gen. Rel. Grav. 21 1177
12. Rainer M and Zhuk A 1996 Phys. Rev. D 54 6186
13. Ivashchuk V D and Melnikov V N 1996 Gravit. Cosmol. 2 177 (Ivashchuk V D and Melnikov V N 1996 Multidimensional gravity with Einstein internal spaces Preprint hep-th/9612054)
14. Ivashchuk V D and Melnikov V N 1996 Gravit. Cosmol. 2 177 (Ivashchuk V D and Melnikov V N 1996 Multidimensional gravity with Einstein internal spaces Preprint hep-th/9612054)
15. Dabholkar A, Gibbons G, Harvey J A and Ruiz Ruiz F 1990 Nucl. Phys. B 340 33
16. Horowitz G T and Strominger A 1990 Nucl. Phys. B 360 197
17. Duff M J and Stelle K S 1991 Phys. Lett. B 253 113
18. Güven R 1992 Phys. Lett. B 276 49 Güven R 1988 Phys. Lett. B 212 277
19. Güven R 1992 Phys. Lett. B 276 49 Güven R 1988 Phys. Lett. B 212 277
20. Duff M J, Khuri R R and Lu J X 1995 Phys. Rep. 259 213
21. Papadopoulos G and Townsend P K 1996 Phys. Lett. B 380 273 (Papadopoulos G and Townsend P K Preprint hep-th/9603087)
22. Papadopoulos G and Townsend P K 1996 Phys. Lett. B 380 273 (Papadopoulos G and Townsend P K Preprint hep-th/9603087)
23. Tseytlin A A 1996 Nucl. Phys. B 475 149 (Tseytlin A A 1996 Preprint hep-th/9604035)
24. Tseytlin A A 1996 Nucl. Phys. B 475 149 (Tseytlin A A 1996 Preprint hep-th/9604035)
25. Gauntlett J P, Kastor D A and Traschen J 1996 Nucl. Phys. B 478 544 (Gauntlett J P, Kastor D A and Traschen J 1996 Preprint hep-th/9604179)
26. Gauntlett J P, Kastor D A and Traschen J 1996 Nucl. Phys. B 478 544 (Gauntlett J P, Kastor D A and Traschen J 1996 Preprint hep-th/9604179)
27. Aref'eva I Ya and Volovich A I 1997 Class. Quantum Grav. 14 2991 (Aref'eva I Ya and Volovich A I 1996 Preprint hep-th/9611026)
28. Aref'eva I Ya and Volovich A I 1997 Class. Quantum Grav. 14 2991 (Aref'eva I Ya and Volovich A I 1996 Preprint hep-th/9611026)
29. Bergshoeff E, de Roo M, Eyras E, Janssen B and van der Schaar J P 1997 Class. Quantum Grav. 14 2757 (Bergshoeff E, de Roo M, Eyras E, Janssen B and van der Schaar J P 1996 Preprint hep-th/9612095)
30. Bergshoeff E, de Roo M, Eyras E, Janssen B and van der Schaar J P 1997 Class. Quantum Grav. 14 2757 (Bergshoeff E, de Roo M, Eyras E, Janssen B and van der Schaar J P 1996 Preprint hep-th/9612095)
31. Aref'eva I Ya and Rytchkov O A 1996 Incidence matrix description of intersecting p-brane solutions Preprint SMI-25-96, hep-th/9612236
32. Argurio R, Englert F and Hourant L 1997 Phys. Lett. B 398 2991 (Argurio R, Englert F and Hourant L 1997 Preprint hep-th/9701042)
33. Argurio R, Englert F and Hourant L 1997 Phys. Lett. B 398 2991 (Argurio R, Englert F and Hourant L 1997 Preprint hep-th/9701042)
34. Stelle K S 1997 Lectures on supergravity p-branes Preprint hep-th/9701088
35. Gauntlett J P 1997 Intersecting branes Preprint hep-th/9705011
36. Aref'eva I Ya, Ivanov M G and Rytchkov O A 1997 Properties of intersecting p-branes in various dimensions Preprint SMI-05-97, hep-th/9702077
37. Cvetic M and Tseytlin A A 1996 Nucl. Phys. B 478 181
38. Ohta N and Shimizu T 1997 Non-extreme black holes from intersecting M-branes Preprint hep-th/9701095
39. Aref'eva I Ya, Ivanov M G and Volovich I V 1997 Phys. Lett. B 406 44 (Aref'eva I Ya, Ivanov M G and Volovich I V 1997 Non-extremal intersecting p-branes in various dimensions Preprint hep-th/9702079)
40. Aref'eva I Ya, Ivanov M G and Volovich I V 1997 Phys. Lett. B 406 44 (Aref'eva I Ya, Ivanov M G and Volovich I V 1997 Non-extremal intersecting p-branes in various dimensions Preprint hep-th/9702079)
41. Ohta N 1997 Intersection rules for non-extreme p-branes Preprint hep-th/9702164
42. Hull C and Townsend P 1995 Nucl. Phys. B 438 109 (Hull C and Townsend P 1996 Preprint hep-th/9610167) Horava P and Witten E 1996 Nucl. Phys. B 460 506 (Horava P and Witten E 1995 Preprint hep-th/9510209) Schwarz J M 1996 Lectures on superstring and M-theory dualities Preprint hep-th/9607201 Duff M J 1996 M-theory (the theory formerly known as strings) Preprint hep-th/9608117
43. Hull C and Townsend P 1995 Nucl. Phys. B 438 109 (Hull C and Townsend P 1996 Preprint hep-th/9610167) Horava P and Witten E 1996 Nucl. Phys. B 460 506 (Horava P and Witten E 1995 Preprint hep-th/9510209) Schwarz J M 1996 Lectures on superstring and M-theory dualities Preprint hep-th/9607201 Duff M J 1996 M-theory (the theory formerly known as strings) Preprint hep-th/9608117
44. Hull C and Townsend P 1995 Nucl. Phys. B 438 109 (Hull C and Townsend P 1996 Preprint hep-th/9610167) Horava P and Witten E 1996 Nucl. Phys. B 460 506 (Horava P and Witten E 1995 Preprint hep-th/9510209) Schwarz J M 1996 Lectures on superstring and M-theory dualities Preprint hep-th/9607201 Duff M J 1996 M-theory (the theory formerly known as strings) Preprint hep-th/9608117
45. Hull C and Townsend P 1995 Nucl. Phys. B 438 109 (Hull C and Townsend P 1996 Preprint hep-th/9610167) Horava P and Witten E 1996 Nucl. Phys. B 460 506 (Horava P and Witten E 1995 Preprint hep-th/9510209) Schwarz J M 1996 Lectures on superstring and M-theory dualities Preprint hep-th/9607201 Duff M J 1996 M-theory (the theory formerly known as strings) Preprint hep-th/9608117
46. Hull C and Townsend P 1995 Nucl. Phys. B 438 109 (Hull C and Townsend P 1996 Preprint hep-th/9610167) Horava P and Witten E 1996 Nucl. Phys. B 460 506 (Horava P and Witten E 1995 Preprint hep-th/9510209) Schwarz J M 1996 Lectures on superstring and M-theory dualities Preprint hep-th/9607201 Duff M J 1996 M-theory (the theory formerly known as strings) Preprint hep-th/9608117
47. Hull C and Townsend P 1995 Nucl. Phys. B 438 109 (Hull C and Townsend P 1996 Preprint hep-th/9610167) Horava P and Witten E 1996 Nucl. Phys. B 460 506 (Horava P and Witten E 1995 Preprint hep-th/9510209) Schwarz J M 1996 Lectures on superstring and M-theory dualities Preprint hep-th/9607201 Duff M J 1996 M-theory (the theory formerly known as strings) Preprint hep-th/9608117
48. Hull C M 1996 Nucl. Phys. B 468 113 Vafa C 1996 Nucl. Phys. B 469 403 (Vafa C 1996 Preprint hep-th/9602022)
49. Hull C M 1996 Nucl. Phys. B 468 113 Vafa C 1996 Nucl. Phys. B 469 403 (Vafa C 1996 Preprint hep-th/9602022)
50. Hull C M 1996 Nucl. Phys. B 468 113 Vafa C 1996 Nucl. Phys. B 469 403 (Vafa C 1996 Preprint hep-th/9602022)
51. Youm D 1999 Phys. Rep. submitted (Youm D 1997 Preprint hep-th/9710046)
52. Youm D 1999 Phys. Rep. submitted (Youm D 1997 Preprint hep-th/9710046)
53. Khvengia N, Khvengia Z, Lü H and Pope C N 1997 Toward field theory of F-theory Preprint hep-th/9703012
54. Bronnikov K A, Grebeniuk M A, Ivashchuk V D and Melnikov V N 1997 Gravit. Cosmol. 3 105 (Bronnikov K A, Grebeniuk M A, Ivashchuk V D and Melnikov V N 1997 Integrable multidimensional cosmology for intersecting p-branes Preprint gr-qc/9709006)
55. Bronnikov K A, Grebeniuk M A, Ivashchuk V D and Melnikov V N 1997 Gravit. Cosmol. 3 105 (Bronnikov K A, Grebeniuk M A, Ivashchuk V D and Melnikov V N 1997 Integrable multidimensional cosmology for intersecting p-branes Preprint gr-qc/9709006)
56. Bronnikov K A, Ivashchuk V D and Melnikov V N 1997 Gravit. Cosmol. 3 203 (Bronnikov K A, Ivashchuk V D and Melnikov V N 1997 The Reissner-Nordström problem for intersecting electric and magnetic p-branes Preprint gr-qc/9710054)
57. Bronnikov K A, Ivashchuk V D and Melnikov V N 1997 Gravit. Cosmol. 3 203 (Bronnikov K A, Ivashchuk V D and Melnikov V N 1997 The Reissner-Nordström problem for intersecting electric and magnetic p-branes Preprint gr-qc/9710054)
58. Bronnikov K A 1998 Gravit. Cosmol. 4 49 (Bronnikov K A 1997 Block-orthogonal brane systems, black holes and wormholes Preprint hep-th/9710207)
59. Bronnikov K A 1998 Gravit. Cosmol. 4 49 (Bronnikov K A 1997 Block-orthogonal brane systems, black holes and wormholes Preprint hep-th/9710207)
60. Gal'tsov D V and Rytchkov O A 1998 Generating branes via sigma models Preprint hep-th/9801180
61. Ivashchuk V D and Melnikov V N 1998 J. Math. Phys. 39 2866 (Ivashchuk V D and Melnikov V N 1997 Multidimensional classical and quantum cosmology with intersecting p-branes Preprint hep-th/9708157)
62. Ivashchuk V D and Melnikov V N 1998 J. Math. Phys. 39 2866 (Ivashchuk V D and Melnikov V N 1997 Multidimensional classical and quantum cosmology with intersecting p-branes Preprint hep-th/9708157)
63. Ivashchuk V D, Kim S-W and Melnikov V N 1999 J. Math. Phys. submitted (Ivashchuk V D, Kim S-W and Melnikov V N 1998 Hyperbolic Lie algebra from intersecting p-branes Preprint hep-th/9803006)
64. Ivashchuk V D, Kim S-W and Melnikov V N 1999 J. Math. Phys. submitted (Ivashchuk V D, Kim S-W and Melnikov V N 1998 Hyperbolic Lie algebra from intersecting p-branes Preprint hep-th/9803006)
65. Grebeniuk M A and Ivashchuk V D 1998 Phys. Lett. B 434 28 (Grebeniuk M A and Ivashchuk V D 1998 Solutions in sigma model and intersecting p-branes related to the Lie algebras Preprint hep-th/9805113)
66. Grebeniuk M A and Ivashchuk V D 1998 Phys. Lett. B 434 28 (Grebeniuk M A and Ivashchuk V D 1998 Solutions in sigma model and intersecting p-branes related to the Lie algebras Preprint hep-th/9805113)
67. Ivashchuk V D and Melnikov V N 1997 Proc. Cosmion Meeting (Moscow) (Singapore: World Scientific) (Ivashchuk V D and Melnikov V N 1998 On symmetries of target space for sigma-model of p-brane origin Preprint hep-th/9804102) Ivashchuk V D and Melnikov V N 1998 Grav. Cosmol. 4217
68. Ivashchuk V D and Melnikov V N 1997 Proc. Cosmion Meeting (Moscow) (Singapore: World Scientific) (Ivashchuk V D and Melnikov V N 1998 On symmetries of target space for sigma-model of p-brane origin Preprint hep-th/9804102) Ivashchuk V D and Melnikov V N 1998 Grav. Cosmol. 4217
69. Ivashchuk V D and Melnikov V N 1997 Proc. Cosmion Meeting (Moscow) (Singapore: World Scientific) (Ivashchuk V D and Melnikov V N 1998 On symmetries of target space for sigma-model of p-brane origin Preprint hep-th/9804102) Ivashchuk V D and Melnikov V N 1998 Grav. Cosmol. 4217
70. Kac V G 1990 Infinite-Dimensional Lie Algebras (Cambridge: Cambridge University Press)
71. Fuchs J and Schweigert C 1997 Symmetries, Lie Algebras and Representations (Cambridge: Cambridge University Press)
72. Nikulin V V Private communication
73. Feingold A and Frenkel I B 1983 Ann. Math. 263 87
74. Julia B 1985 Lectures Appl. Math. 21 355
75. 10 symmetry in one dimensional supergravity Preprint hep-th/9703160
76. Nicolai H 1992 Phys. Lett. B 276 333
77. Nikulin V V 1997 On the classification of hyperbolic root systems of the rank three, part I Preprint alggeom/9711032
78. Ivashchuk V D and Melnikov V N 1994 Class. Quantum Grav. 11 1793
79. Wald R 1984 General Relativity (Chicago, IL: University of Chicago Press)
80. Edelstein J D, Tataru L and Tatar R 1998 Rules for localized overlappings and intersections of p-branes Preprint hep-th/9801049
81. Izquiero J M, Lambert N D, Papadopoulos G and Townsend P K 1996 Nucl. Phys. 460 560 (Izquiero J M, Lambert N D, Papadopoulos G and Townsend P K 1995 Preprint hep-th/9508177)
82. Izquiero J M, Lambert N D, Papadopoulos G and Townsend P K 1996 Nucl. Phys. 460 560 (Izquiero J M, Lambert N D, Papadopoulos G and Townsend P K 1995 Preprint hep-th/9508177)
83. Russo J G and Tseytlin A A 1997 Nucl. Phys. B 490 121 (Russo J G and Tseytlin A A 1996 Preprint hep-th/9611047)
84. Russo J G and Tseytlin A A 1997 Nucl. Phys. B 490 121 (Russo J G and Tseytlin A A 1996 Preprint hep-th/9611047)
85. Ohta N and Zhou J-G 1997 Towards the classification of non-marginal bound states of M-branes and their construction rules Preprint hep-th/9706153
86. Lü H, Pope C N and Xu K W 1996 Liouville and Toda solitons in M-theory Preprint hep-th/9604058
87. Lü H, Mukherji S, Pope C N and Xu K-W 1996 Cosmological solutions in string theories Preprint hep-th/9610107
88. Lü H, Maharana J, Mukherji S and Pope C N 1997 Cosmological solutions, p-branes and the Wheeler-de Will equation Preprint hep-th/9707182
89. n Lie algebras for multidimensional cosmology with intersecting p-branes Proc. Int. Seminar on Multidimensional Cosmology (Potsdam)