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http://dx.doi.org/10.4134/BKMS.2004.41.4.691

THE INDEX FORM ON THE MULTIPLY WARPED SPACETIME  

Choi, Jae-Dong (Department of Mathematics, Korea Air Force Academy)
Kim, Mi-Suk (Department of Mathematics, Chungbuk National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.41, no.4, 2004 , pp. 691-697 More about this Journal
Abstract
In this paper we find index form of the multiply warped product manifolds to investigate the physical properties from space-time.
Keywords
index form; Lorentzian warped products;
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  • Reference
1 J. L. Flores and M. Sanchez, Geodesic connectedness of multiwarped spacetimes, J. Diff. Equations, 186 1 (2002)
2 Gromoll, D. W. Klingenberg and W. Meyer, Riemannsche Geometrie im Grossen vol 55, Springer-Verlag, Berlin
3 L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999)
4 L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999)
5 H. Reissner, Ann. Phys. 50, 106 (1916)
6 G. Nordstrom, Proc. K. Ned. Akda. Wet 20, 1238 (1918)
7 V. A. Rubakov and M. E. Shaposhnikov, Phys. Lett. B 125, 139 (1983)
8 J. Choi, Multiply warped products with nonsmooth metrics, J. Math. Phys. 41 (2000)
9 S. T. Hong, J. Choi and Y. J. Park, (2 + 1) dimensional black holes in warped products, Gen. Relativity Gravitation 35 (2003)
10 M. Cvetic, H. Lu and C. N. Pope, Nuclear Phys. B 597, 172 (2001)
11 J. Demers, R. Lafrance, and R. C. Meyers, Phys. Rev. D 52, 2245 (1995)
12 A. Ghosh and P. Mitra, Phys. Lett. B 357, 295 (1995)
13 S. P. Kim, S. K. Kim, K. S. Soh, and J. H. Yee, Internat. J. Modern Phys. A 12, 5223 (1997)
14 G. Cognola and P. Lecca, Phys. Rev. D 57, 1108 (1998)