Research PaperNo Access

Reconstructing modified gravity with holographic vacuum energy density

Departamento de Fisica, Universidad del Valle, A.A. 25360, Cali, Colombia

E-mail Address: luis.granda@correounivalle.edu.co

https://doi.org/10.1142/S0218271819500524Cited by:5 (Source: Crossref)

Abstract

A reconstruction of modified gravity is proposed by establishing a correspondence between the effective density of the modified gravity and the holographic density. The nonhomogeneous term in the modified Friedmann equation, generated by the vacuum (holographic) energy density, lead to reconstructed models that contain explicitly, as part of the solution, the Einstein–Hilbert (EH) term. It was shown that the $Λ$ $Λ$ CDM-type cosmic histories allow the general relativity Lagrangian with cosmological constant as a particular reconstructed solution. The Starobinsky term appears in some reconstructed solutions, and an approximate reconstruction of the Chaplygin gas cosmology was performed in terms of elementary functions of curvature.

Keywords:

PACS: 98.80.−k, 95.36.+x, 04.50.Kd

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

1. E. J. Copeland, M. Sami and S. Tsujikawa, Int. J. Mod. Phys. D 15 (2006) 1753, arXiv:hep-th/0603057. Link, Web of Science, ADS, Google Scholar
2. V. Sahni, Lect. Notes Phys. 653 (2004) 141, arXiv:astro-ph/0403324v3. ADS, Google Scholar
3. T. Padmanabhan, Phys. Rep. 380 (2003) 235, arXiv:hep-th/0212290. Web of Science, ADS, Google Scholar
4. K. Bamba, S. Capozziello, S. Nojiri and S. D. Odintsov, Astrophys. Space Sci. 342 (2012) 155, arXiv:1205.3421 [gr-qc]. Web of Science, ADS, Google Scholar
5. S. Nojiri and S. D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4 (2007) 115, arXiv:hep-th/0601213. Link, Web of Science, Google Scholar
6. T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82 (2010) 451, arXiv:0805.1726 [gr-qc]. Web of Science, ADS, Google Scholar
7. S. Tsujikawa, Lect. Notes Phys. 800 (2010) 99, arXiv:1101.0191 [gr-qc]. ADS, Google Scholar
8. S. Nojiri and S. D. Odintsov, Int. J. Geom. Methods Mod. Phys. 11, (2014) 1460006, arXiv:1306.4426 [gr-qc]. Link, Web of Science, Google Scholar
9. S. Nojiri, S. D. Odintsov and V. K. Oikonomou, Phys. Rep. 692 (2017) 1, arXiv:1705.11098 [gr-qc]. Web of Science, ADS, Google Scholar
10. S. Nojiri and S. D. Odintsov, Phys. Rep. 505 (2011) 59, arXiv:1011.0544 [gr-qc]. Web of Science, ADS, Google Scholar
11. S. Capozziello, Int. J. Mod. Phys. D 11 (2002) 483, arXiv:gr-qc/0201033. Link, Web of Science, ADS, Google Scholar
12. S. Capozziello, S. Carloni and A. Troisi, Recent Res. Dev. Astron. Astrophys. 1 (2003) 625, arXiv:astro-ph/0303041. Web of Science, Google Scholar
13. S. Nojiri and S. D. Odintsov, Phys. Lett. B 576 (2003) 5, arXiv:hep-th/0307071. Web of Science, ADS, Google Scholar
14. S. M. Carroll, V. Duvvuri, M. Trodden and M. S. Turner, Phys. Rev. D 70 (2004) 043528, arXiv:astro-ph/0306438. Web of Science, ADS, Google Scholar
15. V. Faraoni, Phys. Rev. D 72 (2005) 124005, arXiv:gr-qc/0511094. Web of Science, ADS, Google Scholar
16. A. Cruz-Dombriz de la and A. Dobado, Phys. Rev. D 74 (2006) 087501, arXiv:gr-qc/0607118. Web of Science, Google Scholar
17. A. W. Brookfield, C. Van de Bruck and L. M. H. Hall, Phys. Rev. D 74 (2006) 064028, arXiv:hep-th/0608015. Web of Science, ADS, Google Scholar
18. B. Li and J. D. Barrow, Phys. Rev. D 75 (2007) 084010, arXiv:gr-qc/0701111. Web of Science, ADS, Google Scholar
19. M. C. B. Abdalla, S. Nojiri and S. D. Odintsov, Class. Quantum Grav. 22 (2005) L35, arXiv:hep-th/0409177. Web of Science, ADS, Google Scholar
20. G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov and S. Zerbini, J. Cosmol. Astropart. Phys. 0502 (2005) 010, arXiv:hep-th/0501096. Web of Science, ADS, Google Scholar
21. S. Capozziello, V. F. Cardone and A. Troisi, Phys. Rev. D 71 (2005) 043503, arXiv:astro-ph/0501426. Web of Science, ADS, Google Scholar
22. G. Allemandi, A. Borowiec, M. Francaviglia and S. D. Odintsov, Phys. Rev. D 72 (2005) 063505, arXiv:grqc/0504057. Web of Science, ADS, Google Scholar
23. T. Koivisto and H. Kurki-Suonio, Class. Quantum Grav. 23 (2006) 2355, arXiv:astro-ph/0509422. Web of Science, ADS, Google Scholar
24. I. Brevik, Int. J. Mod. Phys. D 15 (2006) 767, arXiv:gr-qc/0601100. Link, Web of Science, ADS, Google Scholar
25. S. Nojiri and S. D. Odintsov, Phys. Rev. D 74 (2006) 086005, arXiv:hep-th/0608008. Web of Science, ADS, Google Scholar
26. S. Nojiri, S. D. Odintsov and D. Saez-Gomez, Phys. Lett. B 681 (2009) 74, arXiv:0908.1269 [hep-th]. Web of Science, ADS, Google Scholar
27. S. Carloni, R. Goswami and P. K. S. Dunsby, Class. Quantum Grav. 29 (2012) 135012, arXiv:1005.1840 [gr-qc]. Web of Science, ADS, Google Scholar
28. P. K. S. Dunsby et al., Phys. Rev. D 82 (2010) 023519, arXiv:1005.2205 [gr-qc]. Web of Science, ADS, Google Scholar
29. S. Capozziello, S. Nojiri, S. D. Odintsov and A. Troisi, Phys. Lett. B 639 (2006) 135, arXiv:astro-ph/0604431. Web of Science, ADS, Google Scholar
30. S. Nojiri and S. D. Odintsov, J. Phys. A 40 (2007) 6725, arXiv:hep-th/0610164. ADS, Google Scholar
31. G. J. Olmo, Phys. Rev. D 75 (2007) 023511, arXiv:gr-qc/0612047. Web of Science, ADS, Google Scholar
32. W. Hu and I. Sawicki, Phys. Rev. D 76 (2007) 064004, arXiv:0705.1158. Web of Science, ADS, Google Scholar
33. S. Nojiri and S. D. Odintsov, J. Phys. Conf. Ser. 66 (2007) 012005, arXiv:hep-th/0611071. ADS, Google Scholar
34. A. A. Starobinsky, Phys. Lett. B 91 (1980) 99. Web of Science, ADS, Google Scholar
35. S. Nojiri and S. D. Odintsov, Phys. Rev. D 68 (2003) 123512, arXiv:hep-th/0307288. Web of Science, ADS, Google Scholar
36. S. Nojiri and S. D. Odintsov, Phys. Lett. B 657 (2007) 238, arXiv:0707.1941 [hep-th]. Web of Science, ADS, Google Scholar
37. S. Nojiri and S. D. Odintsov, Phys. Rev. D 77 (2008) 026007, arXiv:0710.1738 [hep-th]. Web of Science, ADS, Google Scholar
38. S. Nojiri and S. D. Odintsov, Phys. Rev. D 77 (2008) 046009, arXiv:0712.4017 [hep-th]. Web of Science, Google Scholar
39. S. D. Odintsov and V. K. Oikonomou, Phys. Rev. D 92 (2015) 124024, arXiv:1510.04333 [gr-qc]. Web of Science, ADS, Google Scholar
40. S. Capozziello and S. Tsujikawa, Phys. Rev. D 77 (2008) 107501, arXiv:0712.2268. Web of Science, ADS, Google Scholar
41. P. Brax, C. Van de Bruck, A. Davis and D. J. Shaw, Phys. Rev. D 78 (2008) 104021, arXiv:0806.3415. Web of Science, ADS, Google Scholar
42. A. A. Starobinsky, JETP Lett. 86 (2007) 157. Web of Science, ADS, Google Scholar
43. S. A. Appleby and R. A. Battye, Phys. Lett. B 654 (2007) 7, arXiv:0705.3199 [astro-ph]. Web of Science, ADS, Google Scholar
44. S. Nojiri and S. D. Odintsov, Phys. Lett. B 652 (2007) 343, arXiv:0706.1378 [hep-th]. Web of Science, ADS, Google Scholar
45. G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, L. Sebastiani and S. Zerbini, Phys. Rev. D 77 (2008) 046009, arXiv:0712.4017 [hep-th]. Web of Science, ADS, Google Scholar
46. E. Elizalde, S. Nojiri, S. D. Odintsov, L. Sebastiani and S. Zerbini, Phys. Rev. D 83 (2011) 086006, arXiv:1012.2280 [hep-th]. Web of Science, ADS, Google Scholar
47. K. Bamba, S. Nojiri and S. D. Odintsov, J. Cosmol. Astropart. Phys. 0810 (2008) 045, arXiv:0807.2575 [hep-th]. Web of Science, ADS, Google Scholar
48. J. D. Barrow and T. Clifton, Class. Quantum Grav. 23 (2005) L1. Web of Science, Google Scholar
49. T. Clifton and J. D. Barrow, Class. Quantum Grav. 23 (2006) 2951. Web of Science, ADS, Google Scholar
50. S. Capozziello and A. De Felice, J. Cosmol. Astropart. Phys. 0808 (2008) 016. Web of Science, ADS, Google Scholar
51. S. Capozziello, A. Stabile and A. Troisi, Class. Quantum Grav. 24 (2007) 2153. Web of Science, ADS, Google Scholar
52. S. Capozziello, A. Stabile and A. Troisi, Class. Quantum Grav. 25 (2008) 085004. Web of Science, Google Scholar
53. L. Amendola, R. Gannouji, D. Polarski and S. Tsujikawa, Phys. Rev. D 75 (2007) 083504, arXiv:gr-qc/0612180. Web of Science, ADS, Google Scholar
54. L. Amendola, D. Polarski and S. Tsujikawa, Phys. Rev. Lett. 98 (2007) 131302, arXiv:astro-ph/0603703. Web of Science, ADS, Google Scholar
55. N. Goheer, J. Larena and P. K. S. Dunsby, Phys. Rev. D 80 (2009) 061301, arXiv:0906.3860 [gr-qc]. Web of Science, ADS, Google Scholar
56. G. ’t Hooft, arXiv:gr-qc/9310026. Google Scholar
57. L. Susskind, J. Math. Phys. 36 (1995) 6377, arXiv:hep-th/9409089. Web of Science, ADS, Google Scholar
58. A. G. Cohen, D. B. Kaplan and A. E. Nelson, Phys. Rev. Lett. 82 (1999) 4971, arXiv:hep-th/9803132. Web of Science, ADS, Google Scholar
59. S. D. H. Hsu, Phys. Lett. B 594 (2004) 13, arXiv:hep-th/0403052. Web of Science, ADS, Google Scholar
60. M. Li, Phys. Lett. B 603 (2004) 1, arXiv:hep-th/0403127. Web of Science, ADS, Google Scholar
61. L. N. Granda and A. Oliveros, Phys. Lett. B 669 (2008) 275. Web of Science, ADS, Google Scholar
62. J. D. Barrow and S. Cotsakis, Phys. Lett. B 214 (1988) 515. Web of Science, ADS, Google Scholar
63. L. N. Granda and A. Oliveros, Phys. Lett. B 671 (2009) 199. Web of Science, ADS, Google Scholar
64. S. Nojiri and S. D. Odintsov, Gen. Relativ. Gravit. 38 (2006) 1285, arXiv:hep-th/0506212. Web of Science, ADS, Google Scholar
65. C. Gao, F. Wu, X. Chen and Y. G. Shen, Phys. Rev. D 79 (2009) 043511, arXiv:0712.1394. Web of Science, ADS, Google Scholar
66. A. Y. Kamenshchik, U. Moschella and V. Pasquier, Phys. Lett. B 511 (2001) 265, arXiv:gr-qc/0103004. Web of Science, ADS, Google Scholar