Our world as an intersection of walls and a string |
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| Institution: | 1. School of Mathematics, Shandong University, Jinan, Shandong 250100, China;2. Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA;1. School of Mathematics, Southwest Jiaotong University, Chengdu 610031, PR China;2. Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA, Leiden, The Netherlands;3. Mathematical Institute, Utrecht University, P.O. Box 80010, 3508 TA, Utrecht, The Netherlands;1. Munitions Directorate, Air Force Research Laboratory, Eglin AFB, FL, USA;2. Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, USA;3. Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA, USA;1. School of Naval Architecture, Ocean and Civil Engineering (State Key Laboratory of Ocean Engineering), Shanghai Jiaotong University, Shanghai, 200240, PR China;2. Faculty of Science, Engineering and Technology, Swinburne University of Technology, Hawthorn, Vic, 3122, Australia |
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| Abstract: | 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. |
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