Gravitating brane systems: Some general theorems

Journal of Mathematical Physics

Volumn 40, Issue 2, 1999, Pages 924-938

  Bronnikov, K A ^a  

^a CENTER FOR GRAVITATION AND FUNDAMENTAL METROLOGY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033480134     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532695     Document Type: Article

References (43)

1. Supergravities in Diverse Dimensions, reprints in 2 volumes, edited by A. Salam and E. Sezgin (World Scientific, Singapore, 1989).
2. M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory, in 2 volumes (Cambridge University Press, Cambridge, 1987).
3. C. Hull and P. Townsend, "Unity of superstring dualities," Nucl. Phys. B 438, 109 (1995); P. Horava and E. Witten, ibid. 460, 506 (1996); hep-th/9510209; hep-th/9603142; J. M. Schwarz, "Lectures on Superstring and M-Theory Dualities," hep-th/9607201; K. S. Stelle, "Lectures on Supergravity ρ-Branes,ρ hep-th/9701088; M. J. Duff, "M-theory (the Theory Formerly Known as Strings," hep-th/9608117.
4. C. Hull and P. Townsend, "Unity of superstring dualities," Nucl. Phys. B 438, 109 (1995); P. Horava and E. Witten, ibid. 460, 506 (1996); hep-th/9510209; hep-th/9603142; J. M. Schwarz, "Lectures on Superstring and M-Theory Dualities," hep-th/9607201; K. S. Stelle, "Lectures on Supergravity ρ-Branes,ρ hep-th/9701088; M. J. Duff, "M-theory (the Theory Formerly Known as Strings," hep-th/9608117.
5. C. Hull and P. Townsend, "Unity of superstring dualities," Nucl. Phys. B 438, 109 (1995); P. Horava and E. Witten, ibid. 460, 506 (1996); hep-th/9510209; hep-th/9603142; J. M. Schwarz, "Lectures on Superstring and M-Theory Dualities," hep-th/9607201; K. S. Stelle, "Lectures on Supergravity ρ-Branes,ρ hep-th/9701088; M. J. Duff, "M-theory (the Theory Formerly Known as Strings," hep-th/9608117.
6. C. Hull and P. Townsend, "Unity of superstring dualities," Nucl. Phys. B 438, 109 (1995); P. Horava and E. Witten, ibid. 460, 506 (1996); hep-th/9510209; hep-th/9603142; J. M. Schwarz, "Lectures on Superstring and M-Theory Dualities," hep-th/9607201; K. S. Stelle, "Lectures on Supergravity ρ-Branes,ρ hep-th/9701088; M. J. Duff, "M-theory (the Theory Formerly Known as Strings," hep-th/9608117.
7. C. Hull and P. Townsend, "Unity of superstring dualities," Nucl. Phys. B 438, 109 (1995); P. Horava and E. Witten, ibid. 460, 506 (1996); hep-th/9510209; hep-th/9603142; J. M. Schwarz, "Lectures on Superstring and M-Theory Dualities," hep-th/9607201; K. S. Stelle, "Lectures on Supergravity ρ-Branes,ρ hep-th/9701088; M. J. Duff, "M-theory (the Theory Formerly Known as Strings," hep-th/9608117.
8. H. Lü, C. N. Pope, T. A. Tran, and K. W. Xu, hep-th/9608055.
9. I. Bars and C. Kounnas, "Theories with Two Times," hep-th/9703060; H. Nishino, "Supergravity in 10+2 Dimensions as a Consistent Background for Superstring," hep-th/9703214.
10. I. Bars and C. Kounnas, "Theories with Two Times," hep-th/9703060; H. Nishino, "Supergravity in 10+2 Dimensions as a Consistent Background for Superstring," hep-th/9703214.
11. N. Khvengia, Z. Khvengia, and C. N. Pope, "Toward Field Theory of F-theory," hep-th/9703012.
12. V. D. Ivashchuk and V. N. Melnikov, "Intersecting p-Brane Solutions in Multidimensional Gravity and M-Theory," Grav. Cosmol. 2, 297 (1996); hep-th/9612089.
13. V. D. Ivashchuk and V. N. Melnikov, Phys. Lett. B 384, 58 (1996).
14. V. D. Ivashchuk, V. N. Melnikov, and M. Rainer, "Multidimensional Sigma-Models with Composite Electric p-Branes," Grav. Cosmol. 4, 73 (1998).
15. V. D. Ivashchuk and V. N. Melnikov, Phys. Lett. B 403, 23 (1997).
16. V. D. Ivashchuk and V. N. Melnikov, hep-th/9705036; Class. Quantum Grav. 14, 3001 (1997).
17. K. A. Bronnikov, M. A. Grebeniuk, V. D. Ivashchuk, and V. N. Melnikov, "Integrable Multidimensional Cosmology with Intersecting p-Branes," Grav. Cosmol. 3, 2 (1997); gr-qc/9709006.
18. K. A. Bronnikov, U. Kasper, and M. Rainer, "Interesting Electric and Magnetic p-Branes: Spherically Symmetric Solutions," gr-qc/9708058.
19. V. D. Ivashchuk and V. N. Melnikov, "Multidimensional classical and quantum cosmology with interesting p-branes," J. Math. Phys. 39, 2866 (1998).
20. K. A. Bronnikov, V. D. Ivashchuk, and V. N. Melnikov, "The Reissner-Nordström Problem for Intersecting Electric and Magnetic p-Branes," Grav. Cosmol. 3, 203 (1997); gr-qc/9710054.
21. K. A. Bronnikov and G. N. Shikin, "On Interacting Fields in General Relativity," Izv. Vuzov, Fiz. 1977, No. 9, 25.
22. K. A. Bronnikov, "Spherically Symmetric Solutions in D-Dimensional Dilaton Gravity," Grav. Cosmol. 1, 67 (1995).
23. I. Ya. Aref'eva, M. G. Ivanov, and O. A. Rytchkov, "Properties of intersecting p-Branes in Various Dimensions," hep-th/9702077; I. Ya. Aref'eva, M. G. Ivanov, and I. V. Volovich, "NonExtremal Intersecting p-Branes in Various Dimensions," hep-th/9702079.
24. I. Ya. Aref'eva, M. G. Ivanov, and O. A. Rytchkov, "Properties of intersecting p-Branes in Various Dimensions," hep-th/9702077; I. Ya. Aref'eva, M. G. Ivanov, and I. V. Volovich, "NonExtremal Intersecting p-Branes in Various Dimensions," hep-th/9702079.
25. H. Lü, C. N. Pope, and K. W. Xu, "Liouville and Toda Solitons in M-Theory," hep-th/9604058.
26. K. A. Bronnikov, "Block-Orthogonal Brane Systems, Black Holes and Wormholes," Grav. Cosmol. 4, 49 (1998); hep-th/9710207.
27. H. Lü, J. Maharana, S. Mukherji, and C. N. Pope, "Cosmological Solutions, p-Branes, adn the Wheeler-DeWitt Equation," hep-th/9707182.
28. V. D. Ivashchuk and V. N. Melnikov, "Madjumdar-Papapetrou Solutions in Sigma Model and Intersecting p-Branes," hep-th/9802121.
29. There is an exception: two components having only one noncoinciding index, cannot coexist since in this case there emerge nonzero off-block-diagonal components of the energy-momentum tensor (EMT), while the Einstein tensor in the l.h.s. of the Einstein equations is block-diagonal. See more details in Ref. 11.
30. K. A. Bronnikov, Acta Phys. Pol. B 4, 251 (1973).
31. S. Giddings and A. Strominger, Nucl. Phys. B 306, 890 (1988).
32. Hongsu Kim, "Axionic Wormholes: More on their Classical and Quantum Aspects," hep-th/9706015.
33. 2λφ, modifies the behavior of F-form EMTs, leading to a regular geometry.
34. V. D. Ivashchuk and V. N. Melnikov, Class. Quantum Grav. 11, 1793 (1994); Int. J. Mod. Phys. D 4, 167 (1995).
35. V. D. Ivashchuk and V. N. Melnikov, Class. Quantum Grav. 11, 1793 (1994); Int. J. Mod. Phys. D 4, 167 (1995).
36. K. A. Bronnikov, Int. J. Mod. Phys. D 4, 491 (1995).
37. N. Kaloper, I. I. Kogan, and K. A. Olive, "Cos(M)ological Solutions in M-and String Theory," hep-th/9711027.
38. D. Hochberg and M. Visser, "Geometric Structure of the Generic Static Traversable Wormhole Throat," gr-qc/9704082.
39. S. Hayward, "Dynamic Wormholes," gr-qc/9805019.
40. R. Dick, Gen. Relativ. Gravit. 30, 435 (1998).
41. K. P. Staniukovich and V. N. Melnikov, Hydrodynamics, Fields and Constants in Theory of Gravity (Energoatomizdat, Moscow, 1983) (in Russian).
42. U. Günther, S. Kriskiv, and A. Zhuk, "On Static Compactification with a Casimir-Like Potential," Grav. Cosmol. 4, 1 (1998).
43. M. Gasperini, "Repulsive Gravity in the Very Early Universe," gr-qc/9805060.