6D Standing Wave Braneworld

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Presentation transcript:

6D Standing Wave Braneworld 1/31/2014 6D Standing Wave Braneworld O. Sakhelashvili Tbilisi State University Fundamental Physics Master Student Supervisor: Asoc. Prof. M. Gogberashvili

High Dimension Gravitation 1/31/2014 High Dimension Gravitation 1921 Kaluza-Klein, Electro-Gravity 5D Model Brane Models: Problem of Hierarchy Fermions Masses Dark Matter and Dark Energy Standing Wave Brane World 5D or > 5D?! 5D Asymmetric! Motivated to go 6D!

1/31/2014 The Model (1.1) (1.2) (1.3) (1.5) (1.4) (1.6)

1/31/2014 Solution of Metric (2.1) (2.2) (2.4) (2.3) (2.5)

Localization of Scalar Field 1/31/2014 Localization of Scalar Field (3.2) (3.1) Angular dimension is small, let we have only S Wave! (3.3) (3.4) (3.5) (3.6) (3.7)

Factorization Of Action 1/31/2014 Factorization Of Action r

1/31/2014 Cosmology (4.1) (4.2) (4.3) (4.4) (4.5)

1/31/2014 Equations (5.1) (5.2) (5.3) (5.4)

1/31/2014 Solutions (6.1) (6.2) (6.3) (6.4) (6.5) (6.6) (6.7)

Results Learned new 6D isotropic Brane world, solved GR 1/31/2014 Learned new 6D isotropic Brane world, solved GR Found Scalar Field at Bulk and demonstrated Factorization Found cosmological solution and demonstrated disappearing of extra dimension. Derived Hubble law Source: 1) O. Sakhelashvili. Dimensional Reduction in 6D Standing Waves Braneworld . IJMP D 24(1) (2015); arXiv: 1407.5264 2) O. Sakhelashvili. 6D Standing Wave Braneworld with Ghost Scalar Fields. IJTP 53(6), 1940-1946 (2014); arXiv:1311.1030 3) M. Gogberashvili, O. Sakhelashvili, G. Tukhashvili. Numerical Solutions in 5D Standing Wave Braneworld. Mod. Phys. Lett. A, 28(20), 1350092 (2013), arXiv:1304.6079

Thanks for Attention 1/31/2014