Abstract
We study the induced 4-dimensional linearized Einstein field equations in an m-dimensional bulk space by means of a confining potential. We used the confining potential in this model to localized gravitons on the brane. It is shown that in this approach the mass of graviton is quantized. The cosmological constant problem is also addressed within the context of this approach. We show that the difference between the values of the cosmological constant in particle physics and cosmology stems from our measurements in two different scales, small and large.
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Perlmutter, S., et al.: (Supernova Cosmology Project Collaboration). Astrophys. J. 517, 565 (1999)
Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 4690 (1999)
Madlacena, J.: Adv. Theor. Math. Phys. 2, 231 (1998)
Witten, E.: Adv. Theor. Math. Phys. 2, 253 (1998)
Gubser, S.S., Klebanov, I.R., Polyakov, A.M.: Phys. Lett. B 428, 105 (1998)
Ito, M.: Phys. Lett. B 528, 269 (2002)
Israel, W.: Nuovo Cimento B 44, 1 (1966)
Brevik, I., Ghoroku, K., Odintsov, S.D., Yahiro, M.: Phys. Rev. D 66, 064016 (2002)
Chaichian, M., Kobakhidze, A.B.: Phys. Lett. B 488, 117 (2000)
Durrer, R., Kocian, P.: Class. Quantum Gravity 21, 2127 (2004)
Feng, J.L., Rajaraman, A., Takayama, F.: Phys. Rev. D 68, 085018 (2003)
Rubakov, V.A., Shaposhnikov, M.E.: Phys. Lett. B 125, 136 (1983)
Maia, M.D., Monte, E.M., Maia, J.M.F.: Phys. Lett. B 585, 11 (2004)
Maia, M.D., Monte, E.M., Maia, J.M.F., Alcaniz, J.S.: Class. Quantum Gravity 22, 1623 (2005)
Jalazadeh, S., Sepangi, H.R.: Class. Quantum Gravity 22, 2035 (2005)
Heydari-fard, M., Shirazi, M., Jalalzadeh, S., Sepangi, H.R.: Phys. Lett. B 640, 1 (2006)
Heydari-Fard, M., Sepangi, H.R.: Phys. Rev. D 76, 104009 (2007)
Heydari-Fard, M., Razmi, H., Sepangi, H.R.: Phys. Rev. D 76, 066002 (2007)
Heydari-Fard, M., Sepangi, H.R.: Phys. Lett. B 649, 1 (2007)
Heydari-Fard, M., Sepangi, H.R.: Phys. Rev. D 75, 064010 (2007)
Maia, M.D., Monte, E.M.: Phys. Lett. A 297, 9 (2002)
Battye, R.A., Carter, B.: Phys. Lett. B 509, 331 (2001)
Turner, M.S., White, M.: Phys. Rev. D 56, R4439 (1997)
Sugiyama, C.T., Nakamura, T.: Mon. Not. R. Astron. Soc. 289, L5 (1997)
Novello, M., Neves, R.P.: Class. Quantum Gravity 20, L67 (2003)
Singh, P., Dadhich, N.: Mod. Phys. Lett. A 18, 983 (2003)
Schuster, P.C., Jaffe, R.L.: Ann. Phys. 307, 132 (2003)
Jalalzadeh, S., Vakili, B., Ahmadi, F., Sepangi, H.R.: Class. Quantum Gravity 23, 6015 (2006)
Ito, M.: Europhys. Lett. 64, 295 (2003)
Maziashvili, M.: arxiv:hep-ph/0607123
Maraner, P., Pachos, J.K.: Ann. Phys. 323, 2044 (2008). arXiv:0704.2076
Durrer, R., Kocian, P.: Class. Quantum Gravity 21, 2127 (2004)
Taylor, J.H.: Rev. Mod. Phys. 66, 711 (1994)
Will, C.M.: Living Rev. Relativ. 4, 4 (2001). For an up to date review see http://wwwlivingreviews.org/Articles/Volume4/2001-4will/
Wesson, P.S.: Mod. Phys. Lett. A 19, 1995 (2004)
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Yazdani, A.M., Atazadeh, K. & Jalalzadeh, S. Localization of Gravity in Brane World with Arbitrary Extra Dimensions. Int J Theor Phys 50, 888–898 (2011). https://doi.org/10.1007/s10773-010-0630-9
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DOI: https://doi.org/10.1007/s10773-010-0630-9