| GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS |
|
|
|
|
Energy Conditions and Constraints on the Generalized Non-Local Gravity Model |
| Ya-Bo Wu**, Xue Zhang, Bo-Hai Chen, Nan Zhang, Meng-Meng Wu |
Department of Physics, Liaoning Normal University, Dalian 116029
|
|
| Cite this article: |
|
Ya-Bo Wu, Xue Zhang, Bo-Hai Chen et al 2017 Chin. Phys. Lett. 34 079801 |
|
|
|
|
Abstract We study and derive the energy conditions in generalized non-local gravity, which is the modified theory of general relativity obtained by adding a term $m^{2n-2}R\Box^{-n}R$ to the Einstein–Hilbert action. Moreover, to obtain some insight on the meaning of the energy conditions, we illustrate the evolutions of four energy conditions with the model parameter $\varepsilon$ for different $n$. By analysis we give the constraints on the model parameters $\varepsilon$.
|
|
|
Received: 10 March 2017
Published: 23 June 2017
|
|
| PACS: |
98.80.-k
|
(Cosmology)
|
| |
98.80.Jk
|
(Mathematical and relativistic aspects of cosmology)
|
| |
04.20.-q
|
(Classical general relativity)
|
|
|
| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11175077 and 11575075, and the Natural Science Foundation of Liaoning Province under Grant No L201683666. |
|
|
|
| [1] | Perlmutter S et al 1999 Astrophys. J. 517 565 | | [2] | Riess A G et al 1998 Astron. J. 116 1009 | | [3] | Hinshaw G et al 2013 Astrophys. J. Suppl. Ser. 208 19 | | [4] | Ade P A R et al 2016 Astron. Astrophys. 594 A13 | | [5] | Sahni V and Starobinsky A A 2000 Int. J. Mod. Phys. D 9 373 | | [6] | Carroll S M 2001 Living Rev. Relativ. 4 1 | | [7] | Peebles P J E and Ratra B 2003 Rev. Mod. Phys. 75 559 | | [8] | Copeland E J, Sami M and Tsujikawa S 2006 Int. J. Mod. Phys. D 15 1753 | | [9] | Li M, Li X D, Wang S and Wang Y 2011 Commun. Theor. Phys. 56 525 | | [10] | Zeng X X, Hu X Y and Li L F 2017 Chin. Phys. Lett. 34 010401 | | [11] | Wu Y B, Tong H D, Yang H, Lu J B, Zhao Y Y, Lu J W and Zhang X 2014 Chin. Phys. Lett. 31 029801 | | [12] | Lu J B, Wu Y B, Xu L X and Wang Y T 2011 Chin. Phys. B 20 079801 | | [13] | Nojiri S and Odintsov S D 2011 Phys. Rep. 505 59 | | [14] | Clifton T, Ferreira P G, Padilla A and Skordis C 2012 Phys. Rep. 513 1 | | [15] | Capozziello S and Laurentis M D 2011 Phys. Rep. 509 167 | | [16] | Sotiriou T P and Faraoni V 2010 Rev. Mod. Phys. 82 451 | | [17] | Felice A D and Tsujikawa S 2010 Living Rev. Relativ. 13 3 | | [18] | Arkani-Hamed N, Dimopoulos S, Dvali G and Gabadadze G 2002 arXiv:hep-th/0209227 | | [19] | Deser S and Woodard R P 2007 Phys. Rev. Lett. 99 111301 | | [20] | Koshelev N A 2009 Grav. Cosmol. 15 220 | | [21] | Koivisto T S 2010 AIP Conf. Proc. 1206 79 | | [22] | Barvinsky A O 2012 Phys. Lett. B 710 12 | | [23] | Barvinsky A O 2012 Phys. Rev. D 85 104018 | | [24] | Maggiore M 2014 Phys. Rev. D 89 043008 | | [25] | Koivisto T 2008 Phys. Rev. D 77 123513 | | [26] | Deffayet C and Woodard R P 2009 J. Cosmol. Astropart. Phys. 0908 023 | | [27] | Zhang Y L and Sasaki M 2012 Int. J. Mod. Phys. D 21 1250006 | | [28] | Nojiri S, Odintsov S D, Sasaki M and Zhang Y L 2011 Phys. Lett. B 696 278 | | [29] | Maggiore M and Mancarella M 2014 Phys. Rev. D 90 023005 | | [30] | Dirian Y, Foffa S, Khosravi N, Kunz M and Maggiore M 2014 J. Cosmol. Astropart. Phys. 06 033 | | [31] | Barreira A, Li B, Hellwing W A, Baugh C M and Pascoli S 2014 J. Cosmol. Astropart. Phys. 09 031 | | [32] | Dirian Y and Mitsou E 2014 J. Cosmol. Astropart. Phys. 10 065 | | [33] | Koivisto T S 2008 Phys. Rev. D 78 123505 | | [34] | Park S and Dodelson S 2013 Phys. Rev. D 87 024003 | | [35] | Jaccard M, Maggiore M and Mitsou E 2013 Phys. Rev. D 88 044033 | | [36] | Foffa S, Maggiore M and Mitsou E 2014 Int. J. Mod. Phys. A 29 1450116 | | [37] | Nesseris S and Tsujikawa S 2014 Phys. Rev. D 90 024070 | | [38] | Zhang X, Wu Y B, Li S, Liu Y C, Chen B H, Chai Y T and Shu S 2016 J. Cosmol. Astropart. Phys. 1607 003 | | [39] | Hawking S W and Ellis G F R 1973 The Large Scale Structure of Space-Time (Cambridge: Cambridge University Press) | | [40] | Santos J, Alcaniz J S, Reboucas M J and Carvalho F C 2007 Phys. Rev. D 76 083513 | | [41] | Garcia N M, Harko T, Lobo F S N and Mimoso J P 2011 Phys. Rev. D 83 104032 | | [42] | Liu D and Reboucas M J 2012 Phys. Rev. D 86 083515 | | [43] | Atazadeh K and Darabi F 2014 Gen. Relativ. Gravitation 46 1664 | | [44] | Sharif M and Zubair M 2013 J. High Energy Phys. 1312 079 | | [45] | Bertolami O and Sequeira M C 2009 Phys. Rev. D 79 104010 | | [46] | Wang J, Wu Y B, Guo Y X, Qi F, Zhao Y Y and Sun X Y 2010 Eur. Phys. J. C 69 3 | | [47] | Zhao Y Y, Wu Y B, Lu J B, Zhang Z, Han W L and Lin L L 2012 Eur. Phys. J. C 72 1924 | | [48] | Zhang Y L, Koyama K, Sasaki M and Zhao G B 2016 J. High Energy Phys. 1603 039 | | [49] | Visser M 1997 Science 276 88 |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
