Solitons and Universes with Acceleration Driven by Bulk Particles

Considering a scenario where our universe is taken
as a 3d domain wall embedded in a 5d dimensional Minkowski
space-time, we explore the existence of a richer class of solitonic
solutions and their consequences for accelerating universes driven by
collisions of bulk particle excitations with the walls. In particular it
is shown that some of these solutions should play a fundamental role
at the beginning of the expansion process. We present some of these
solutions in cosmological scenarios that can be applied to models
that describe the inflationary period of the Universe.




References:
[1] F. A. Brito, F. F. Cruz and J. F. N. Oliveira, Phys. Rev. D 71, 083516
(2005).
[2] R. Rajaraman, Solitons and Instantons (North-Holand, Amsterdam, 1982)
[3] A. Vilenkin and E. P. S. Shellard, Cosmic Strings and Other Topological
Defects (Cambridge University, Cambridge, England, 1994).
[4] T. Vachaspati, Kinks and Domain Walls: An Introduction to Classical
and Quantum Solitons (Cambridge University Press, Cambrifge, England,
2006).
[5] D.Walgraef, Spatio-Temporal Pattern Formation (Springer-Verlag, Berlin,
1997).
[6] R. Rajaraman, Phys. Rev. Lett. 42, 200 (1979).
[7] R. Rajaraman an E. J. Weinberg, Phys. Rev. D 11, 2950 (1975).
[8] D. Bazeia, M. J. dos Santos and R. F. Ribeiro, Phys. Lett. A 208 (1995)
84. D. Bazeia, W. Freire, L. Losano and R. F. Ribeiro, Mod. Phys. Lett.
A 17, 1945 (2002).
[9] M. K. Prasad and C. M. Sommerfeld, Phys. Rev. Lett. 35, 760 (1975);
E. B. Bolgomol’nyi, Sov. J. Nucl. Phys. 24, 449 (1976).
[10] A. de Souza Dutra, Phys. Lett. B 626, 249 (2005).
[11] A. de Souza Dutra and A. C. F. de Amaral Jr., Phys.Lett. B 642 (2006)
274.
[12] D. Bazeia, J. R. S. Nascimento, R. F. Ribeiro and D. Toledo, J. Phys.
A 30, 8157 (1997)
[13] D. Bazeia, Braz. J. Phys. 32 (2002) 869.
[14] M. N. Barreto, D. Bazeia and R. Menezes, Phys. Rev. D 73, 065015
(2006).
[15] A. de Souza Dutra, M. Hott and F.A. Barone, Phys. Rev. D 74, 085030
(2006).
[16] N. Arkani-Hamed, S. Dimopoulos and G. R. Dvali, Phys. Lett. B 429
(1998) 263.
[17] L. Randall and R. Sundrum, Phys. Rev. Lett. 83 (1999) 4690.
[18] G. Dvali, G. Gabadadze and M. Porrati, Phys. Lett. B 485 (2000) 208.
[19] G. Dvali and G. Gabadadze, Phys. Rev. D 63 (2001) 065007.
[20] P. S. Apostopoulos and N. Tetradis, Phys. Rev. D 71 (2005) 043506.
[21] P. S. Apostopoulos and N. Tetradis, Phys. Lett. B 633 (2006) 409.
[22] C. Bogdanos and K. Tamvakis, Phys. Lett. B 646 (2007) 39.
[23] M. A. Shiffman and M. B. Voloshin, Phys. Rev. D 57 (1998) 2590.
[24] L. J. Boya and J. Casahorran, Phys. Rev. A 39, 4298 (1989).
[25] A. G. Riess, et al., Astron. J. 116 (1998) 1009.
S. Perlmutter, et al., Astron. J. 517 (1999) 565.
A. G. Riess, et al., Astron. J. 607 (2004) 665.