Abstract
We investigate the localization problem of matter fields within the 5D standing wave braneworld. In this model the brane emits anisotropic waves into the bulk with different amplitudes along different spatial dimensions. We show that in the case of increasing warp factor there exist the pure gravitational localization of all kinds of quantum and classical particles on the brane. For classical particles the anisotropy of the background metric is hidden, brane fields exhibit standard Lorentz symmetry in spite of anisotropic nature of the primordial 5D metric.
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N. Arkani-Hamed, S. Dimopoulos and G. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315] [INSPIRE].
I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, New dimensions at a millimeter to a Fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398] [INSPIRE].
M. Gogberashvili, Hierarchy problem in the shell universe model, Int. J. Mod. Phys. D 11 (2002) 1635 [hep-ph/9812296] [INSPIRE].
M. Gogberashvili, Four dimensionality in noncompact Kaluza-Klein model, Mod. Phys. Lett. A 14 (1999) 2025 [hep-ph/9904383] [INSPIRE].
L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064] [INSPIRE].
V. Rubakov, Large and infinite extra dimensions: An Introduction, Phys. Usp. 44 (2001) 871 [hep-ph/0104152] [INSPIRE].
D. Langlois, Brane cosmology: An Introduction, Prog. Theor. Phys. Suppl. 148 (2003) 181 [hep-th/0209261] [INSPIRE].
P.D. Mannheim, Brane-localized Gravity, World Scientific, Singapore (2005).
R. Maartens and K. Koyama, Brane-World Gravity, Living Rev. Rel. 13 (2010) 5 [arXiv:1004.3962] [INSPIRE].
M. Gutperle and A. Strominger, Space-like branes, JHEP 04 (2002) 018 [hep-th/0202210] [INSPIRE].
M. Kruczenski, R.C. Myers and A.W. Peet, Supergravity S-branes, JHEP 05 (2002) 039 [hep-th/0204144] [INSPIRE].
V. Ivashchuk and D. Singleton, Composite electric S-brane solutions with maximal number of branes, JHEP 10 (2004) 061 [hep-th/0407224] [INSPIRE].
C. Burgess, F. Quevedo, R. Rabadán, G. Tasinato and I. Zavala, On bouncing brane worlds, S-branes and branonium cosmology, JCAP 02 (2004) 008 [hep-th/0310122] [INSPIRE].
M. Gogberashvili and D. Singleton, Anti-de-Sitter Island-Universes from 5D Standing Waves, Mod. Phys. Lett. A 25 (2010) 2131 [arXiv:0904.2828] [INSPIRE].
M. Gogberashvili, A. Herrera-Aguilar and D. Malagon-Morejon, An Anisotropic Standing Wave Braneworld and Associated Sturm-Liouville Problem, Class. Quant. Grav. 29 (2012) 025007 [arXiv:1012.4534] [INSPIRE].
B. Bajc and G. Gabadadze, Localization of matter and cosmological constant on a brane in anti-de Sitter space, Phys. Lett. B 474 (2000) 282 [hep-th/9912232] [INSPIRE].
A. Pomarol, Gauge bosons in a five-dimensional theory with localized gravity, Phys. Lett. B 486 (2000) 153 [hep-ph/9911294] [INSPIRE].
I. Oda, Bosonic fields in the string-like defect model, Phys. Rev. D 62 (2000) 126009 [hep-th/0008012] [INSPIRE].
M. Gogberashvili and P. Midodashvili, Brane universe in six-dimensions, Phys. Lett. B 515 (2001) 447 [hep-ph/0005298] [INSPIRE].
M. Gogberashvili and P. Midodashvili, Localization of fields on a brane in six-dimensions, Europhys. Lett. 61 (2003) 308 [hep-th/0111132] [INSPIRE].
M. Gogberashvili and D. Singleton, Nonsingular increasing gravitational potential for the brane in 6-D, Phys. Lett. B 582 (2004) 95 [hep-th/0310048] [INSPIRE].
M. Gogberashvili and D. Singleton, Brane in 6D with increasing gravitational trapping potential, Phys. Rev. D 69 (2004) 026004 [hep-th/0305241] [INSPIRE].
M. Gogberashvili, P. Midodashvili and D. Singleton, Fermion Generations from ‘Apple-Shaped’ Extra Dimensions, JHEP 08 (2007) 033 [arXiv:0706.0676] [INSPIRE].
K. Bronnikov, Scalar-tensor theory and scalar charge, Acta. Phys. Pol. B 4 (1973) 251.
R. Caldwell, A phantom menace?, Phys. Lett. B 545 (2002) 23 [astro-ph/9908168] [INSPIRE].
M. Pospelov, Ghosts and tachyons in the fifth dimension, Int. J. Mod. Phys. A 23 (2008) 881 [hep-ph/0412280] [INSPIRE].
A. Das, S. Kar and S. SenGupta, Stable two-brane models with bulk tachyon matter, Int. J. Mod. Phys. A 24 (2009) 4457 [arXiv:0804.1757] [INSPIRE].
V. Dzhunushaliev, V. Folomeev and M. Minamitsuji, Thick brane solutions, Rept. Prog. Phys. 73 (2010) 066901 [arXiv:0904.1775] [INSPIRE].
M. Gogberashvili and R. Khomeriki, Trapping of Nonlinear Gravitational Waves by Two-Fluid Systems, Mod. Phys. Lett. A 24 (2009) 2761 [arXiv:0808.1295] [INSPIRE].
M. Gogberashvili, S. Myrzakul and D. Singleton, Standing gravitational waves from domain walls, Phys. Rev. D 80 (2009) 024040 [arXiv:0904.1851] [INSPIRE].
M. Gogberashvili, P. Midodashvili and L. Midodashvili, Localization of scalar and tensor fields in the standing wave braneworld with increasing warp factor, Phys. Lett. B 702 (2011) 276 [arXiv:1105.1701] [INSPIRE].
M. Gogberashvili, P. Midodashvili and L. Midodashvili, Localization of scalar and tensor fields in the standing wave braneworld with increasing warp factor, Phys. Lett. B 702 (2011) 276 [arXiv:1105.1701] [INSPIRE].
M. Gogberashvili, P. Midodashvili and L. Midodashvili, Massless fermions in the standing wave braneworld, arXiv:1109.3758 [INSPIRE].
M. Gogberashvili, A. Herrera-Aguilar, D. Malagon-Morejon and R.R. Mora-Luna, Anisotropic Inflation in a 5D Standing Wave Braneworld and Dimensional Reduction, arXiv:1202.1608 [INSPIRE].
M. Gogberashvili, A. Herrera-Aguilar, D. Malagon-Morejon, R.R. Mora-Luna and U. Nucamendi, Thick brane isotropization in the 5D anisotropic standing wave braneworld model, arXiv:1201.4569 [INSPIRE].
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ArXiv ePrint: 1204.2448
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Gogberashvili, M. Localization of matter fields in the 5D standing wave braneworld. J. High Energ. Phys. 2012, 56 (2012). https://doi.org/10.1007/JHEP09(2012)056
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DOI: https://doi.org/10.1007/JHEP09(2012)056