Abstract:
We investigate a spatially flat Friedmann-Robertson-Walker (FRW) universe where dark matter exchanges energy with a self-interacting holographic dark energy (SIHDE). Using the χ2-statistical method on the Hubble function, we obtain a critical redshift that seems to be consistent with both BAO and CMB data. We calculate the theoretical distance modulus for confronting with the observational data of SNe Ia for small redshift z ≤ 0.1 and large redshift 0.1 ≤ z ≤ 1.5. The model gets accelerated faster than the ΛCDM one and it can be a good candidate to alleviate the coincidence problem. We also examine the age crisis at high redshift associated with the old quasar APM 08279+5255. © 2013 World Scientific Publishing Company.
Referencias:
- Riess, A.G., (1998) Astron. J., 116, p. 100938. , Supernova Search Team
- Riess, A.G., (2004) Astrophys. J., 607, p. 665
- Perlmutter, S., (1999) Astrophys. J., 517, p. 565. , The Supernova Cosmology Project
- Perlmutter, S., (1998) Nature, 391, p. 51
- SDSS Collab. (J. K. Adelman-McCarthy et al.), arXiv:0707.3413; Tegmark, M., (2004) Phys. Rev. D, 69, p. 103501
- Tegmark, M., (2004) Astrophys. J., 606, p. 702
- D. N. Spergel et al., arXiv:astroph/0603449; Spergel, D.N., (2003) Astrophys. J. Suppl., 148, p. 175
- Komatsu, E., WMAP Collab., , arXiv:0803.0547
- Jassal, H.K., Bagla, J.S., Padmanabhan, T., (2010) Mon. Not. R. Astron. Soc., 405, p. 2639
- Davis, T.M., (2007) Astrophys. J., 666, p. 716
- Samushia, L., Ratra, B., (2008) Astrophys. J., 680, pp. L1
- Peebles, P.J.E., Ratra, B., (2003) Rev. Mod. Phys., 75, p. 559
- Carroll, S.M., (2001) Living Rev. Relativ., 4, p. 1
- Weinberg, S., (1989) Rev. Mod. Phys., 61, p. 1
- Steinhardt, P.J., (1997) Critical Problems in Physics, , Princeton Univ. Press
- Bousso, R., (2008) Gen. Relat. Gravit., 40, p. 607
- Sahni, V., Starobinsky, A.A., (2000) Int. J. Mod. Phys. D, 9, p. 373
- Padmanabhan, T., (2003) Phys. Rep., 380, p. 235
- Copeland, E.J., Sami, M., Tsujikawa, S., (2006) Int. J. Mod. Phys. D, 15, p. 1753
- N. Shin'ichi and S. D. Odintsov, arXiv:1011.0544; Mi. Li, X.-D. Li, S. Wang and Y. Wang, arXiv:1103.5870; Peebles, P.J.E., Ratra, B., (1988) Astrophys. J., 325, pp. L17
- Ratra, B., Peebles, P.J.E., (1988) Phys. Rev. D, 37, p. 3406
- Wetterich, C., (1988) Nucl. Phys. B, 302, p. 668
- Frieman, J.A., Hill, C.T., Stebbins, A., Waga, I., (1995) Phys. Rev. Lett., 75, p. 2077
- Turner, M.S., White, M.J., (1997) Phys. Rev. D, 56, p. 4439
- Caldwell, R.R., Dave, R., Steinhardt, P.J., (1998) Phys. Rev. Lett., 80, p. 1582
- Liddle, A.R., Scherrer, R.J., (1998) Phys. Rev. D, 59, p. 023509
- Chimento, L.P., Jakubi, A.S., Pavon, D., Zimdahl, W., (2003) Phys. Rev. D, 67, p. 083513
- Chimento, L.P., Lazkoz, R., (2006) Phys. Lett. B, 639, p. 591
- Chimento, L.P., Forte, M., Lazkoz, R., (2005) Mod. Phys. Lett. A, 20, p. 2075
- Chimento, L.P., Lazkoz, R., (2003) Phys. Rev. Lett., 91, p. 211301
- Chimento, L.P., (2004) Phys. Rev. D, 69, p. 123517
- Feng, B., Wang, X.L., Zhang, X.M., (2005) Phys. Lett. B, 607, p. 35
- Feng, B., Li, M., Piao, Y.S., Zhang, X., (2006) Phys. Lett. B, 634, p. 101
- Guo, Z.K., Piao, Y.S., Zhang, X.M., Zhang, Y.Z., (2005) Phys. Lett. B, 608, p. 177
- Zhang, X.F., Li, H., Piao, Y.S., Zhang, X.M., (2006) Mod. Phys. Lett. A, 21, p. 231
- Cai, Y.F., Li, M.Z., Lu, J.X., Piao, Y.S., Qiu, T.T., Zhang, X.M., (2007) Phys. Lett. B, 651, p. 1
- Chimento, L.P., Forte, M.I., Lazkoz, R., Richarte, M.G., (2009) Phys. Rev. D, 79, p. 043502
- Shi, S.-G., Piao, Y.-S., Qiao, C.-F., (2009) J. Cosmol. Astropart. Phys., 904, p. 027
- Zhang, J., Gui, Y.-X., (2010) Commun. Theor. Phys., 54, p. 380
- Saridakis, E.N., Weller, J.M., (2010) Phys. Rev. D, 81, p. 123523
- Elizalde, E., Nojiri, S., Odintsov, S.D., (2004) Phys. Rev. D, 70, p. 043539
- Hsu, S.D.H., (2004) Phys. Lett. B, 594, p. 13
- Li, M., (2004) Phys. Lett. B, 603, p. 1
- Elizalde, E., Nojiri, S., Odintsov, S.D., Wang, P., (2005) Phys. Rev. D, 71, p. 103504
- Huang, Q.G., Li, M., (2004) J. Cosmol. Astropart. Phys., 408, p. 013
- Gong, Y.G., (2004) Phys. Rev. D, 70, p. 064029
- Li, M., Lin, C., Wang, Y., (2008) J. Cosmol. Astropart. Phys., 805, p. 023
- Zhang, X., (2010) Phys. Lett. B, 683, p. 81
- Cui, J., Zhang, X., (2010) Phys. Lett. B, 690, p. 233
- Wu, X., Zhu, Z.H., (2008) Phys. Lett. B, 660, p. 293
- Wu, X., Cai, R.G., Zhu, Z.H., (2008) Phys. Rev. D, 77, p. 043502
- Wei, H., (2009) Nucl. Phys. B, 819, p. 210
- Karwan, K., (2008) J. Cosmol. Astropart. Phys., 805, p. 011
- C.-Y. Sun, arXiv:1009.1214; Li, M., Li, X.-D., Wang, S., Zhang, X., (2009) J. Cosmol. Astropart. Phys., 906, p. 036
- Li, M., Li, X.-D., Wang, S., Wang, Y., Zhang, X., (2009) J. Cosmol. Astropart. Phys., 912, p. 014
- Rozas-Fernandez, A., (2011) Eur. Phys. J. C, 71, p. 1536
- Cruz, N., Gonzalez-Diaz, P.F., Rozas-Fernandez, A., Sanchez, G., (2009) Phys. Lett. B, 679, p. 293
- Rozas-Fernandez, A., Brizuela, D., Cruz, N., (2010) Int. J. Mod. Phys. D, 19, p. 573
- G. 't Hooft, arXiv:gr-qc/9310026; Susskind, L., (1995) J. Math. Phys., 36, p. 6377
- W. Fischler and L. Susskind, arXiv:hep-th/9806039; Cohen, A., Kaplan, D., Nelson, A., (1999) Phys. Rev. Lett., 82, p. 4971
- Bousso, R., (2002) Rev. Mod. Phys., 74, p. 825
- Gao, C., Wu, F.Q., Chen, X., Shen, Y.G., (2009) Phys. Rev. D, 79, p. 043511
- Granda, L.N., Oliveros, A., (2009) Phys. Lett. B, 671, p. 199
- S. del Campo, J. C. Fabris, R. Herrera and W. Zimdahl, arXiv:1103.3441v2; Nojiri, S., Odintsov, S.D., (2006) Gen. Relat. Gravit., 38, p. 1285
- Zhang, X., (2009) Phys. Rev. D, 79, p. 103509
- Xu, L., Wang, Y., (2010) J. Cosmol. Astropart. Phys., 6, p. 002
- Gao, C., Wu, F., Chen, X., Shen, Y.-G., (2009) Phys. Rev. D, 79, p. 043511
- Wang, Y., Xu, L., (2010) Phys. Rev. D, 81, p. 083523
- Gao, C., Wu, F., Chen, X., Shen, Y.G., (2009) Phys. Rev. D, 79, p. 043511
- Dur'An, I., Pav'On, D., (2011) Phys. Rev. D, 83, p. 023504
- Chimento, L.P., Richarte, M.G., (2011) Phys. Rev. D, 84, p. 123507
- Chimento, L.P., Richarte, M.G., (2012) Phys. Rev. D, 85, p. 127301
- Carroll, S., (2001) Living Rev. Relativ., 4, p. 1
- Peebles, P.J.E., Ratra, B., (2003) Rev. Mod. Phys., 75, p. 559606
- Gubser, S.S., Peebles, P.J.E., (2004) Phys. Rev. D, 70, p. 123511
- Amendola, L., (2000) Phys. Rev. D, 62, p. 043511
- Zimdahl, W., Pavon, D., Chimento, L., (2001) Phys. Lett. B, 521, p. 133
- Barrow, J.D., Clifton, T., (2006) Phys. Rev. D, 73, p. 103520
- Carneiro, S., (2006) Phys. Rev. D, 74, p. 023532
- Borges, H.A., Carneiro, S., Fabris, J.C., (2008) Phys. Rev. D, 78, p. 123522
- Costa, F.E.M., Barboza Jr., E.M., Alcaniz, J.S., (2009) Phys. Rev. D, 79, p. 127302
- Del Campo, S., Herrera, R., Pavon, D., (2009) J. Cosmol. Astropart. Phys., 901, p. 020
- He, J.-H., Wang, B., Zhang, P., (2009) Phys. Rev. D, 80, p. 063530
- Chimento, L.P., Jakubi, A.S., Pavon, D., Zimdahl, W., (2003) Phys. Rev. D, 67, p. 083513
- Olivares, G., Atrio-Barandela, F., Pavon, D., (2005) Phys. Rev. D, 71, p. 063523
- Chimento, L.P., (2010) Phys. Rev. D, 81, p. 043525
- Suwa, M., Nihei, T., (2010) Phys. Rev. D, 81, p. 023519
- Yu, F., Zhang, J., Lu, J., Wang, W., Gui, Y., (2010) Phys. Lett. B, 688, p. 263
- Pereira, S.H., Jesus, J.E., (2009) Phys. Rev. D, 79, p. 043517
- Pav'On, D., Wang, B., (2009) Gen. Relat. Gravit., 41, p. 1
- Chimento, L.P., Forte, M., Kremer, G.M., (2009) Gen. Relat. Gravit., 41, p. 1125
- J. Chen and Y. Wang, arXiv:0904.2808; B. M. Jackson, A. Taylor and A. Berera, arXiv:0901.3272v2; H. Wei, arXiv:1008.4968; Press, W.H., (1997) Numerical Recipes in C, , Cambridge Univ. Press
- Chen, G., Ratra, B., (2011) Publ. Astron. Soc. Pac., 123, p. 1127
- Calabrese, E., Archidiacono, M., Melchiorri, A., Ratra, B., (2012) Phys. Rev. D, 86, p. 043520
- Li, Z., Wu, P., Yu, H., (2011) Phys. Lett. B, 695, p. 1
- Stern, D., Jimenez, R., Verde, L., Kamionkowski, M., Stanford, S.A., (2010) J. Cosmol. Astropart. Phys., 1002, p. 008
- Riess, A.G., (2009) Astrophys. J., 699, p. 539
- Simon, J., Verde, L., Jimenez, R., (2005) Phys. Rev. D, 71, p. 123001
- Moresco, M., Verde, L., Pozzetti, L., Jimenez, R., Cimatti, A., (2012) J. Cosmol. Astropart. Phys., 1207, p. 053
- Samushia, L., Ratra, B., (2006) Astrophys. J., 650, pp. L5
- Wei, H., Zhang, S.N., (2007) Phys. Lett. B, 644, p. 7
- Lazkoz, R., Majerotto, E., (2007) J. Cosmol. Astropart. Phys., 707, p. 015
- Lin, H., Hao, C., Wang, X., Yuan, Q., Yi, Z.-L., Zhang, T.-J., Wang, B.-Q., (2009) Mod. Phys. Lett. A, 24, p. 1699
- S. Cao, N. Liang and Z.-H. Zhu, arXiv:1105.6274; Figueroa, D.G., Verde, L., Jimenez, R., (2008) J. Cosmol. Astropart. Phys., 810, p. 038
- M. Seikel, S. Yahya, R. Maartens and C. Clarkson, arXiv:1205.3431; R. C. Santos, F. E. Silva and J. A. S. Lima, arXiv:1103.4988; Del Campo, S., Herrera, R., Pavon, D., (2010) J. Phys. Conf. Ser., 229, p. 012012
- A. Aviles, A. Bravetti, S. Capozziello and O. Luongo, arXiv:1210.5149; M. I. Forte and M. G. Richarte, arXiv:1206.1073; L. P. Chimento, M. I. Forte and M. G. Richarte, arXiv:1206.0179; L. P. Chimento and M. G. Richarte, arXiv:1207.1121; Lu, J., Xu, L., Liu, M., (2011) Phys. Lett. B, 699, p. 246
- J. A. S. Lima, J. F. Jesus, R. C. Santos and M. S. S. Gill, arXiv:1205.4688; Alcaniz, J.S., Lima, J.A.S., (1999) Astrophys. J., 521, pp. L87
- Dunlop, J., (1996) Nature, 381, p. 581
- Spinrad, H., (1997) Astrophys. J., 484, p. 581
- Dunlop, J., (1999) The Most Distant Radio Galaxies, p. 71. , eds. H. J. A. Rottgering, P. Best and M. D. Lehnert, Kluwer
- Stockton, A., Kellogg, M., Ridgway, S.E., (1995) Astrophys. J., 443, pp. L69
- Yoshii, Y., Tsujimoto, T., Kawara, K., (1998) Astrophys. J., 507, pp. L113
- Hasinger, G., Schartel, N., Komossa, S., (2002) Astrophys. J., 573, pp. L77
- S. Komossa and G. Hasinger, arXiv:astro-ph/0207321; Friaca, A., Alcaniz, J., Lima, J.A.S., (2005) Mon. Not. R. Astron. Soc., 362, p. 1295
- Jain, D., Dev, A., (2006) Phys. Lett. B, 633, p. 436
- Alcaniz, J.S., Lima, J.A.S., Cunha, J.V., (2003) Mon. Not. R. Astron. Soc., 340, pp. L39
- Lima, J.A.S., Alcaniz, J.S., (2000) Mon. Not. R. Astron. Soc., 317, p. 893
- Yang, R.J., Zhang, S.N., (2010) Mon. Not. R. Astron. Soc., 407, p. 1835
- Wei, H., Zhang, S.N., (2007) Phys. Rev. D, 76, p. 063003
- Wang, S., Zhang, Y., (2008) Phys. Lett. B, 669, p. 201
- Wang, S., Li, X.D., Li, M., (2010) Phys. Rev. D, 82, p. 103006
- Cui, J., Zhang, X., (2010) Phys. Lett. B, 690, p. 233
- Feng, C.-J., Li, X.-Z., (2009) Phys. Lett. B, 680, p. 355
- H. Wei, arXiv:1012.0883; Chimento, L.P., Richarte, M.G., (2012) Phys. Rev. D, 86, p. 103501
Citas:
---------- APA ----------
Chimento, L.P., Forte, M. & Richarte, M.G.
(2013)
. Self-interacting holographic dark energy. Modern Physics Letters A, 28(1).
http://dx.doi.org/10.1142/S0217732312502355---------- CHICAGO ----------
Chimento, L.P., Forte, M., Richarte, M.G.
"Self-interacting holographic dark energy"
. Modern Physics Letters A 28, no. 1
(2013).
http://dx.doi.org/10.1142/S0217732312502355---------- MLA ----------
Chimento, L.P., Forte, M., Richarte, M.G.
"Self-interacting holographic dark energy"
. Modern Physics Letters A, vol. 28, no. 1, 2013.
http://dx.doi.org/10.1142/S0217732312502355---------- VANCOUVER ----------
Chimento, L.P., Forte, M., Richarte, M.G. Self-interacting holographic dark energy. Mod. Phys. Lett. A. 2013;28(1).
http://dx.doi.org/10.1142/S0217732312502355