Inflating intersecting branes and remarks on the hierarchy problem. (English) Zbl 0974.83068
Summary: We generalize solutions of Einstein’s equations for intersecting branes in higher dimensional spacetimes to the nonstatic case, modeling an expanding universe. The relation between the Hubble rate, the brane tensions, and the bulk cosmological constant is similar to the case of a single 3-brane in a 5-dimensional spacetime. However, because the bulk inflates as well as the branes, this class of solutions suffers from Newton’s constant tending toward zero on the TeV brane, where the Randall-Sundrum mechanism should solve the weak scale hierarchy problem. The strength of gravity remains constant on the Planck brane, however.
MSC:
83F05 | Relativistic cosmology |
83E30 | String and superstring theories in gravitational theory |
81V17 | Gravitational interaction in quantum theory |
Keywords:
Einstein’s equations; intersecting branes; nonstatic case; expanding universe; Hubble rate; brane tension; bulk cosmological constantReferences:
[1] | V.A. Rubakov, M.E. Shaposhnikov, Phys. Lett. B 125 (1983) 136; M. Visser, Phys. Lett. B 159 (1985) 22; G. Dvali, M. Shifman, Phys. Lett. B 396 (1997) 64; M. Gogberashvili, Mod. Phys. Lett. A 14 (1999) 2025 and hep-ph/9908347.; V.A. Rubakov, M.E. Shaposhnikov, Phys. Lett. B 125 (1983) 136; M. Visser, Phys. Lett. B 159 (1985) 22; G. Dvali, M. Shifman, Phys. Lett. B 396 (1997) 64; M. Gogberashvili, Mod. Phys. Lett. A 14 (1999) 2025 and hep-ph/9908347. |
[2] | I. Antoniadis, Phys. Lett. B 246 (1990) 377; I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 436 (1998) 257; K.R. Dienes, E. Dudas, T. Gherghetta, Phys. Lett. B 436 (1998) 55.; I. Antoniadis, Phys. Lett. B 246 (1990) 377; I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 436 (1998) 257; K.R. Dienes, E. Dudas, T. Gherghetta, Phys. Lett. B 436 (1998) 55. |
[3] | L. Randall, R. Sundrum, Phys. Rev. Lett. 83 (1999) 3370 and hep-ph/9906064.; L. Randall, R. Sundrum, Phys. Rev. Lett. 83 (1999) 3370 and hep-ph/9906064. |
[4] | Lukas, A.; Ovrut, B. A.; Waldram, D., Phys. Rev. D, 60, 086001 (1999) |
[5] | P. Binétruy, C. Deffayet, D. Langlois, hep-th/9905012.; P. Binétruy, C. Deffayet, D. Langlois, hep-th/9905012. |
[6] | Kaloper, N., Phys. Rev. D, 60, 123506 (1999) |
[7] | Nihei, T., Phys. Lett. B, 465, 81 (1999) · Zbl 0994.83047 |
[8] | Csaki, C.; Graesser, M.; Kolda, C.; Terning, J., Phys. Lett. B, 462, 34 (1999) · Zbl 0992.83098 |
[9] | J. Cline C. Grojean, G. Servant, Phys. Rev. Lett. 83 (1999) 4245.; J. Cline C. Grojean, G. Servant, Phys. Rev. Lett. 83 (1999) 4245. · Zbl 0951.83053 |
[10] | M. Gogberashvili, hep-ph/9812296.; M. Gogberashvili, hep-ph/9812296. |
[11] | J. Lykken, L. Randall, hep-th/9908076.; J. Lykken, L. Randall, hep-th/9908076. |
[12] | K.R. Dienes, E. Dudas, T. Gherghetta, hep-ph/9908530.; K.R. Dienes, E. Dudas, T. Gherghetta, hep-ph/9908530. |
[13] | N. Arkani-Hamed, S. Dimopoulos, G. Dvali, N. Kaloper, hep-th/9907209.; N. Arkani-Hamed, S. Dimopoulos, G. Dvali, N. Kaloper, hep-th/9907209. |
[14] | C. Csaki, Y. Shirman, hep-th/9908186; A.E. Nelson, hep-th/9909001.; C. Csaki, Y. Shirman, hep-th/9908186; A.E. Nelson, hep-th/9909001. |
[15] | A. Chamblin, H.S. Reall, hep-th/9903225.; A. Chamblin, H.S. Reall, hep-th/9903225. |
[16] | H.B. Kim, H.D. Kim, hep-th/9909053.; H.B. Kim, H.D. Kim, hep-th/9909053. |
[17] | H. Hatanaka, M. Sakamoto, M. Tachibana, K. Takenaga, hep-th/9909076.; H. Hatanaka, M. Sakamoto, M. Tachibana, K. Takenaga, hep-th/9909076. |
[18] | H. Verlinde, hep-th/9906182; A. Kehagias, hep-th/9906204.; H. Verlinde, hep-th/9906182; A. Kehagias, hep-th/9906204. |
[19] | I. Oda, hep-th/9908104.; I. Oda, hep-th/9908104. |
[20] | Williams, J. G.; Newhall, X. X.; Dickey, J. O., Phys. Rev. D, 53, 6730 (1996) |
[21] | W. Goldberger, M. Wise, hep-ph/9911457.; W. Goldberger, M. Wise, hep-ph/9911457. |
[22] | C. Csaki, M. Graesser, L. Randall, J. Terning, hep-ph/9911406.; C. Csaki, M. Graesser, L. Randall, J. Terning, hep-ph/9911406. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.