Abstract:
We introduce an effective one-uid description of the interacting dark sector in a spatially at Friedmann-Robertson-Walker space-time and investigate the stability of the power-law solutions. We find the "source equation" for the total energy density and determine the energy density of each dark component. We study linear and nonlinear interactions which depend on the dark matter and dark energy densities, their first derivatives, the total energy density with its derivatives up to second order and the scale factor. We solve the evolution equations of the dark components for both interactions, examine exhaustively several examples and show cases where the problem of the coincidence is alleviated. We show that a generic nonlinear interaction gives rise to the "relaxed Chaplygin gas model" whose effective equation of state includes the variable modified Chaplygin gas model while some others nonlinear interactions yield de Sitter and power-law scenarios. © 2012 American Institute of Physics.
Referencias:
- Sahni, V., Starobinsky, A.A., (2000) Int. J. Mod. Phys. D, 9, p. 373
- Sahni, V., (2005) Lect. Notes Phys., 653. , The Physics of the Early Universe, Ed. E. Papantonopoulos, Springer, Berlin
- Carroll, S.M., (2001) Living Rev. Rel., 4, p. 1
- Padmanabhan, T., (2003) Phys. Rept., 380, p. 235
- Peebles, P.J.E., Ratra, B., (2003) Rev. Mod. Phys., 75, p. 559
- Copeland, E.J., Sami, M., Tsujikawa, S., (2006) Int. J. Mod. Phys. D, 15, p. 1753
- Riess, A.G., (1998) Astron. J., 116, p. 1009
- Riess, A.G., (1999) Astron. J., 117, p. 707
- Perlmutter, S., (1999) Astrophys. J., 517, p. 565
- Astier, P., (2006) Astron. Astrophys., 447, p. 31
- Bennett, C.L., (1997) Astrophys. J., 483, p. 565
- Spergel, D.N., (2003) Astrophys. J. Suppl., 148, p. 175
- Spergel, D.N., (2007) Astrophys. J. Suppl., 170, p. 377
- Eisenstein, D.J., (2005) Astrophys. J., 633, p. 560
- Amendola, L., Tocchini-Valentini, D., (2001) Phys. Rev. D, 64, p. 043509
- Amendola, L., Quercellini, C., Tocchini-Valentini, D., Pasqui, A., (2003) Astrophys. J., 583, pp. L53
- Farrar, G.R., Peebles, P.J.E., (2004) Astrophys. J., 604, p. 1
- Huey, G., Wandelt, B.D., Nojiri, S., Odintsov, S.D., Tsujikawa, S., (2005) Phys. Rev. D, 71, p. 063004
- Nojiri, S., Odintsov, S.D., (2005) Phys. Rev. D, 72, p. 023003
- Cai, R.G., Wang, A., (2005) JCAP, 503, p. 002
- Pavon, D., Zimdahl, W., (2005) Phys. Lett. B, 628, p. 206
- (2006) Phys. Rev. D, 74, p. 023519
- Binder, J.B., Kremer, G.M., (2006) Gen. Rel. Grav., 38, p. 857
- Amendola, L., Gasperini, M., Piazza, F., (2006) Phys. Rev. D, 74, p. 127302
- Kremer, G.M., (2007) Gen. Rel. Grav., 39, pp. 965-972
- Chimento, L.P., Forte, M., (2008) Phys. Lett. B, 205, p. 666
- Bohmer, C.G., Caldera-Cabral, G., Lazkoz, R., Maartens, R., (2008) Phys. Rev. D, 78, p. 023505
- Caldera-Cabral, G., Maartens, R., Schaefer, B.M., (2009) JCAP, 907, p. 027
- Quartin, M., Calvao, M.O., Jorás, S.E., Reis, R.R.R., Waga, I., (2008) JCAP05, p. 007
- Bilic, N., Tupper, G.B., Viollier, R.D., (2002) Phys. Lett. B, 535, p. 17
- N. Bilic, G.B. Tupper and R.D. Viollier, arXiv: 0809.0375v1 [gr- qc]; Bento, M.C., Bertolami, O., Sen, A.A., (2002) Phys. Rev. D, 66, p. 043507
- H.B. Benaoum, hep-th/0205140; Gonzalez-Diaz, P.F., (2003) Phys. Rev. D, 68, p. 021303
- Chimento, L.P., (2004) Phys. Rev. D, 69, p. 123517
- A.A. Sen and R. J. Scherrer, arXiv:astro-ph/0507717v2; Chimento, L.P., Lazkoz, R., (2005) Phys. Lett. B, 615, p. 146
- Chimento, L.P., Lazkoz, R., (2006) Class. Quantum Grav., 23, p. 3195
- Guo, Z.K., Zhang, Y.Z., (2007) Phys. Lett. B, 645, p. 326
- Z.K. Guo and Y.Z. Zhang, astro-ph/0506091; Z.K. Guo and Y.Z. Zhang, astro-ph/0509790; G. Sethi, S.K. Singh, P. Kumar, D. Jain and A. Dev, astro- ph/0508491. (2005); Zhang, X., Wu, F., Zhang, J., (2006) JCAP01, p. 003
- Debnath, U., (2007) Astrophys Space Sci., 312, p. 295. , DOI 10.1007/s10509-007-9690-6; M. Jamil, arXiv: 0906.3913v3
- Chimento, L.P., (2010) Phys. Rev. D, 81, p. 043525
- Del Campo, S., Herrera, R., Pavon, D., (2009) JCAP, 901, p. 020
- Chimento, L.P., Forte, M., Kremer, G.M., (2008) Gen. Relativ. Gravit., pp. 1-13. , DOI 10.1007/s10714-008-0694-5
- S. H. Pereira and J. F. Jesus, arXiv:0811.0099v2; J. Chen and Y. Wang, arXiv:0904.2808v4 [gr-qc]; B. M. Jackson, A. Taylor, A. Berera, arXiv:0901.3272v2 [astro- ph.CO]; Sadjadi, H.M., Alimohammadi, M., (2006) Phys. Rev. D, 74, p. 103007
- Zimdahl, W., Pavón, D., Chimento, L.P., (2001) Phys. Lett. B, 521, p. 133
- Chimento, L.P., Jakubi, A.S., Pavón, D., Zimdahl, W., (2003) Phys. Rev. D, 67, p. 083513
- Karwan, K., (2008) JCAP, 805, p. 011. , arXiv: 0801.1755 [astro-ph]
- Olivares, G., Atrio-Barandela, F., Pavon, D., (2008) Phys. Rev. D, 77, p. 103520
- Amendola, L., (2000) Phys. Rev. D, 62, p. 043511
- Amendola, L., Campos, G.C., Rosenfeld, R., (2007) Phys.Rev.D, 75, p. 083506
- Valiviita, J., Majerotto, E., Maartens, R., (2008) JCAP, 807, p. 020
- Quercellini, C., Bruni, M., Balbi, A., Pietrobon, D., (2008) Phys. Rev. D, 78, p. 063527
- Barrow, J.D., Clifton, T., (2006) Phys. Rev. D, 73, p. 103520
- J. S. Alcaniz, H. A. Borges, S. Carneiro, J. C. Fabris, C. Pigozzo and W. Zimdahl, arXiv:1201.5919v1 [astro-ph.CO]; Chimento, L.P., Lazkoz, R., (2006) Phys. Lett. B, 639, p. 591
- J.C. Fabris, B. Fraga, N. Pinto-Neto and W. Zimdahl, arXiv:0910.3246v1 [astro-ph.CO]A4 - Ministry of Science, Technology and Innovation (MCTI); INEspaco; National Observatory; CNPq; CAPES
Citas:
---------- APA ----------
(2012)
. Exactly solved models of interacting dark matter and dark energy. I CosmoSul: Cosmology and Gravitation in the Southern Cone, 1471, 30-38.
http://dx.doi.org/10.1063/1.4756808---------- CHICAGO ----------
Chimento, L.P.
"Exactly solved models of interacting dark matter and dark energy"
. I CosmoSul: Cosmology and Gravitation in the Southern Cone 1471
(2012) : 30-38.
http://dx.doi.org/10.1063/1.4756808---------- MLA ----------
Chimento, L.P.
"Exactly solved models of interacting dark matter and dark energy"
. I CosmoSul: Cosmology and Gravitation in the Southern Cone, vol. 1471, 2012, pp. 30-38.
http://dx.doi.org/10.1063/1.4756808---------- VANCOUVER ----------
Chimento, L.P. Exactly solved models of interacting dark matter and dark energy. AIP Conf. Proc. 2012;1471:30-38.
http://dx.doi.org/10.1063/1.4756808