Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-01-06
Nucl.Phys. B602 (2001) 413-433
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 1 figure, comments on the conical singularity and boundary conditions are added
Scientific paper
10.1016/S0550-3213(01)00145-6
A solution of Einstein equations is obtained for our four-dimensional world as an intersection of a wall and a string-like defect in seven-dimensional spacetime with a negative cosmological constant. A matter energy-momentum tensor localized on the wall and on the string is needed. A single massless graviton is found and is localized around the intersection. The leading correction to the gravitational Newton potential from massive spin 2 graviton is found to be almost identical to that of a wall in five dimensions, contrary to the case of a string in six dimensions. The generalization to the intersection of a string and $n$ orthogonally intersecting walls is also obtained and a similar result is found for the gravitational potential.
Sakai Norisuke
Tomizawa Shigemitsu
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