Vol. 6, №1, 2014

MULTIDIMENSIONAL THEORIES OF PHYSICAL FIELDS

VACUUMLESS DEFECTS IN THE RANDALL-SUNDRUM MODELS
Grats Yu.V., Mikhaylov A.S.
Lomonosov Moscow State University, Faculty of Physics, http://www.phys.msu.ru,
1/2, Leninskie Gory, 119991 Moscow, Russian Federation,
grats@phys.msu.ru

We investigate linearized gravity in the Randall-Sundrum models with the so-called vacuumless defect (cosmic string or global monopole) imbedded into the brane. We consider Randall-Sundrum model with one brane (RS2), unstabilized model with two branes (RS1) and the model stabilized by the Brans-Dicke ﬁeld. Our results are applied for the investigation of the peculiarities of topological self-action effects on a point charge held near defect which are induced by the extra dimension.

Keywords: Randall-Sundrum models, topological defects, self-action

UDC 530.12: 531.51

Bibliography- 28 references
Received 06.10.2010

RENSIT, 2010, 2(1-2):40-51

REFERENCES

Randall L. Phys.Rev.Lett., 1999, 83:3370-3373.
Goldberger WD, Wise MB. Phys.Rev.Lett., 1999, 83:4922-4925.
Randall L, Sundrum R. Phys.Rev.Lett., 1999, 83:4690-4693.
Volobuev IP, Smolyakov MN. TMF, 2004, 139(1):12-28 (in Russ.).
Grats Yu, Rossikhin A. Mod.Phys.Lett. A, 2002, 17:1207-1214.
Grats YuV, Dmitriev VV, Rossikhin AA. Nelineyny mir, 2005, 1-2:48-53 (in Russ.).
Grats YuV, Dmitriev VV. Grav. and Cosmol., 2006, 12:21-28.
Grats YuV, Dmitriev VV, Mikhaylov AS. Elektronny zhurnal «Issledovaniya v Rossii», 229/061011:2189-2198 (in Russ.).
Grats YuV, Dmitriev VV, Mikhaylov AS. Grav. and. Cosmol., 2006, 12(2-3):155-158.
Cho I, Vilenkin A. Phys.Rev. D, 1998, 59:021701-1-021701-4.
Cho I, Vilenkin A. Phys.Rev. D, 1999, 59:063510-1–063510-6
DeWitt BS, Brehme RW. Ann.Phys., 1960, 9:220-259.
Hobbs JM. Ann.Phys., 1968, 47:141-149.
Vilenkin A. Phys.Rev. D, 1979, 20:373-380.
Smith AG, Will CM. Phys.Rev. D, 1980, 22:1276-1282.
Leaute B, Linet B. Phys.Lett. A, 1976, 58:5-11.
Leaute B. Ann.Inst.Henri Poincare, Sect. A, 1977, 27:167-173.
Bezerra de Mello ER. Phys.Rev. D, 1995, 51:7140-7146.
Galtsov DV, Grats YuV, Lavrent’ev AV. Yadernaya fizika, 1995, 58:570-576 (in Russ.).
Grats YuV, Garcia A. Class.Quantum Grav., 1996, 13:189-197.
Bezerra de Mello ER, Bezerra VB, Grats YuV. Class.Quantum Grav., 1998, 15:1915-1925.
Grats YuV, Rossikhin AA. TMF, 2000, 123:150-162 (in Russ.).
Khusnutdinov NR. UFN, 2005, 175(6):603-620 (in Russ.).
Aref'eva IYa, Ivanov MG, Muck W, Viswanathan KS, Volovich IV. Nucl.Phys. B, 2000, 590:273-286.
Shilov GE. Matematichesky analiz: vtoroy spetsial’ny kurs. Moscow, Nauka Publ., 1965, 327 p.
Mikhaylov AS, Mikhaylov YuS, Smolyakov MN, Volobuev IP. Class. Quantum Grav., 2007, 24:231-242.
Mikhaylov AS, Mikhaylov YuS, Smolyakov MN, Volobuev IP. ArXiv: hep-th/0812.2699v1.
Boos EE, Volobuev IP, Kubyshkin YuA, Smolyakov MN. TMF, 2002, 131(2):216-230 (in Russ.).

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