1. 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

2. 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!

3. 1/31/2014
The Model
(1.1)
(1.2)
(1.3)
(1.5)
(1.4)
(1.6)

4. 1/31/2014
Solution of Metric
(2.1)
(2.2)
(2.4)
(2.3)
(2.5)

5. Localization of Scalar Field
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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)

6. Factorization Of Action
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Factorization Of Action r

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Cosmology
(4.1)
(4.2)
(4.3)
(4.4)
(4.5)

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Equations
(5.1)
(5.2)
(5.3)
(5.4)

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Solutions
(6.1)
(6.2)
(6.3)
(6.4)
(6.5)
(6.6)
(6.7)

10. 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:
2) O. Sakhelashvili. 6D Standing Wave Braneworld with Ghost Scalar Fields. IJTP 53(6), (2014); arXiv:
3) M. Gogberashvili, O. Sakhelashvili, G. Tukhashvili. Numerical Solutions in 5D Standing Wave Braneworld. Mod. Phys. Lett. A, 28(20), (2013), arXiv:

11. Thanks for Attention
1/31/2014