No Small Hairs in Anisotropic Power-law Gauss-Bonnet Inflation

Tuan Quoc Do, Sonnet Hung Q. Nguyen

Abstract


We will examine whether anisotropic hairs exist in a string-inspired scalar-Gauss-Bonnet gravity model with the absence of potential of scalar field during the inflationary phase. As a result, we are able to obtain the Bianchi type I power-law solution to this model under the assumption that the scalar field acts as the phantom field, whose kinetic is negative definite. However, the obtained anisotropic hair of this model turns out to be large, which is inconsistent with the observational data. We will therefore introduce a nontrivial coupling between scalar and vector fields such as \(f^2(\phi)F_{\mu\nu}F^{\mu\nu}\) into the scalar-Gauss-Bonnet model with the expectation that the anisotropic hair would be reduced to a small one. Unfortunately, the magnitude of the obtained anisotropic hair is still large. These results indicate that the scalar-Gauss-Bonnet gravity model with the absence of potential of scalar field might not be suitable to generate small anisotropic hairs during the inflationary phase.

Keywords


Gauss-Bonnet gravity, Inflation, Bianchi type I metric, Cosmic no-hair conjecture

Full Text:

PDF

References


D. Saadeh, S. M. Feeney, A. Pontzen, H. V. Peiris, and J. D. McEwen, Phys. Rev. Lett. 117 (2016) 131302 [arXiv:1605.07178]; J. Soltis, A. Farahi, D. Huterer, and C. M. Liberato II, Phys. Rev. Lett. 122 (2019) 091301 [arXiv:1902.07189].

G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15 (1977) 2738; S. W. Hawking and I. G. Moss, Phys. Lett. B 110 (1982) 35.

R. M. Wald, Phys. Rev. D 28 (1983) 2118.

J. D. Barrow, Phys. Lett. B 187 (1987) 12; Y. Kitada and K. i. Maeda, Phys. Rev. D 45 (1992) 1416.

M. Kleban and L. Senatore, J. Cosmol. Astropart. Phys. 10 (2016) 022 [arXiv:1602.03520]; W. E. East, M. Kleban, A. Linde, and L. Senatore, J. Cosmol. Astropart. Phys. 09 (2016) 010 [arXiv:1511.05143].

S. M. Carroll and A. Chatwin-Davies, Phys. Rev. D 97 (2018) 046012 [arXiv:1703.09241].

A. H. Guth, Phys. Rev. D 23 (1981) 347; A. D. Linde, Phys. Lett. B 108 (1982) 389; A. A. Starobinsky, Phys. Lett. B 91 (1980) 99; A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett. 48 (1982) 1220; A. D. Linde, Phys. Lett. B 129 (1983) 177.

E. Komatsu et al. [WMAP Collaboration], Astrophys. J. Suppl. 192 (2011) 18 [arXiv:1001.4538]; G. Hinshaw et al. [WMAP Collaboration], Astrophys. J. Suppl. 208 (2013) 19 [arXiv:1212.5226].

P. A. R. Ade et al. [Planck Collaboration], Astron. Astrophys. 571 (2014) A22 [arXiv:1303.5082]; Astron. Astrophys. 571 (2014) A23 [arXiv:1303.5083].

G. F. R. Ellis and M. A. H. MacCallum, Commun. Math. Phys. 12 (1969) 108; G. F. R. Ellis, Gen. Rel. Grav. 38 (2006) 1003.

C. Pitrou, T. S. Pereira, and J. P. Uzan, J. Cosmol. Astropart. Phys. 04 (2008) 004 [arXiv:0801.3596]; A. E. Gumrukcuoglu,

C. R. Contaldi, and M. Peloso, J. Cosmol. Astropart. Phys. 07 (2007) 005 [arXiv:0707.4179].

T. Buchert, A. A. Coley, H. Kleinert, B. F. Roukema, and D. L.Wiltshire, Int. J. Mod. Phys. D 25 (2016) 1630007 [arXiv:1512.03313].

S. Kanno, J. Soda, and M. a. Watanabe, J. Cosmol. Astropart. Phys. 12 (2010) 024 [arXiv:1010.5307]; M. a. Watanabe, S. Kanno, and J. Soda, Phys. Rev. Lett. 102 (2009) 191302 [arXiv:0902.2833].

A. Maleknejad, M. M. Sheikh-Jabbari, and J. Soda, Phys. Rept. 528 (2013) 161 [arXiv:1212.2921]; J. Soda, Class. Quant. Grav. 29 (2012) 083001 [arXiv:1201.6434].

T. Q. Do and W. F. Kao, Phys. Rev. D 84 (2011) 123009; T. Q. Do and W. F. Kao, Class. Quant. Grav. 33 (2016) 085009; T. Q. Do and W. F. Kao, Phys. Rev. D 96 (2017) 023529.

T. Q. Do, W. F. Kao, and I. C. Lin, Phys. Rev. D 83 (2011) 123002; T. Q. Do and S. H. Q. Nguyen, Int. J. Mod. Phys. D 26 (2017) 1750072 [arXiv:1702.08308].

R. Emami, H. Firouzjahi, S. M. Sadegh Movahed, and M. Zarei, J. Cosmol. Astropart. Phys. 02 (2011) 005 [arXiv:1010.5495]; K. Murata and J. Soda, J. Cosmol. Astropart. Phys. 06 (2011) 037 [arXiv:1103.6164]; S. Hervik, D. F. Mota, and M. Thorsrud, J. High Energy Phys. 11 (2011) 146 [arXiv:1109.3456]; K. Yamamoto,

M. a.Watanabe, and J. Soda, Class. Quantum Grav. 29 (2012) 145008 [arXiv:1201.5309]; M. Thorsrud, D. F. Mota, and S. Hervik, J. High Energy Phys. 10 (2012) 066 [arXiv:1205.6261]; A. Maleknejad and M. M. Sheikh-Jabbari, Phys. Rev. D 85 (2012) 123508 [arXiv:1203.0219]; K. i. Maeda and K. Yamamoto, Phys.

Rev. D 87 (2013) 023528 [arXiv:1210.4054]; J. Ohashi, J. Soda, and S. Tsujikawa, Phys. Rev. D 87 (2013) 083520 [arXiv:1303.7340]; J. Ohashi, J. Soda, and S. Tsujikawa, Phys. Rev. D 88 (2013) 103517 [arXiv:1310.3053]; A. Ito and J. Soda, Phys. Rev. D 92 (2015) 123533 [arXiv:1506.02450]; A. A. Abolhasani, M. Akhshik, R. Emami, and H. Firouzjahi, J. Cosmol. Astropart. Phys. 03 (2016) 020 [arXiv:1511.03218]; M. Karciauskas, Mod. Phys. Lett. A 31 (2016) 1640002 [arXiv:1604.00269]; M. Tirandari and K. Saaidi, Nucl. Phys. B 925 (2017) 403 [arXiv:1701.06890]; A. Ito and J. Soda, Eur. Phys. J. C 78 (2018) 55 [arXiv:1710.09701]; T. Fujita and I. Obata, J.

Cosmol. Astropart. Phys. 01 (2018) 049 [arXiv:1711.11539]; J. Holland, S. Kanno, and I. Zavala, Phys. Rev. D 97 (2018) 103534 [arXiv:1711.07450]; T. Q. Do and W. F. Kao, Eur. Phys. J. C 78 (2018) 360 [arXiv:1712.03755]; T. Q. Do and W. F. Kao, Eur. Phys. J. C 78 (2018) 531.

B. Zwiebach, Phys. Lett. B 156 (1985) 315; D. G. Boulware and S. Deser, Phys. Rev. Lett. 55 (1985) 2656; D. J. Gross and E. Witten, Nucl. Phys. B 277 (1986) 1; D. J. Gross and J. H. Sloan, Nucl. Phys. B 291 (1987) 41; R. R. Metsaev and A. A. Tseytlin, Nucl. Phys. B 293 (1987) 385; R. R. Metsaev and A. A. Tseytlin, Phys. Lett. B 191 (1987) 354.

D. Lovelock, J. Math. Phys. 12 (1971) 498.

I. Antoniadis, J. Rizos, and K. Tamvakis, Nucl. Phys. B 415 (1994) 497 [hep-th/9305025]. J. Rizos and K. Tamvakis, Phys. Lett. B 326 (1994) 57 [gr-qc/9401023]; P. Kanti, J. Rizos, and K. Tamvakis, Phys. Rev. D 59 (1999) 083512 [gr-qc/9806085].

S. Kawai, M. a. Sakagami, and J. Soda, Phys. Lett. B 437 (1998) 284 [gr-qc/9802033]; S. Kawai and J. Soda, Phys. Lett. B 460 (1999) 41 [gr-qc/9903017].

A. Toporensky and S. Tsujikawa, Phys. Rev. D 65 (2002) 123509 [gr-qc/0202067].

S. Nojiri, S. D. Odintsov, and M. Sasaki, Phys. Rev. D 71 (2005) 123509 [hep-th/0504052].

S. Nojiri and S. D. Odintsov, Phys. Lett. B 631 (2005) 1 [hep-th/0508049]; S. Nojiri, S. D. Odintsov, and O. G. Gorbunova, J. Phys. A 39 (2006) 6627 [hep-th/0510183]; B. M. N. Carter and I. P. Neupane, J. Cosmol. Astropart. Phys. 06 (2006) 004 [hep-th/0512262]; G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, and S. Zerbini, Phys. Rev. D 73 (2006) 084007 [hep-th/0601008]; S. Nojiri and S. D. Odintsov, Int. J. Geom. Meth. Mod. Phys. 4 (2007)

[hep-th/0601213]; T. Koivisto and D. F. Mota, Phys. Lett. B 644 (2007) 104 [astro-ph/0606078]; G. Cognola, E. Elizalde, S. Nojiri, S. Odintsov, and S. Zerbini, Phys. Rev. D 75 (2007) 086002 [hep-th/0611198]; B. Li, J. D. Barrow, and D. F. Mota, Phys. Rev. D 76 (2007) 044027 [arXiv:0705.3795].

P. Kanti, R. Gannouji, and N. Dadhich, Phys. Rev. D 92 (2015) 041302(R) [arXiv:1503.01579]; P. Kanti, R. Gannouji, and N. Dadhich, Phys. Rev. D 92 (2015) 083524 [arXiv:1506.04667]; O. P. Santillan, J. Cosmol. Astropart. Phys. 07 (2017) 008 [arXiv:1703.01713]; T. Anson, E. Babichev, C. Charmousis, and S. Ramazanov, arXiv:1903.02399.

Z. K. Guo, N. Ohta, and S. Tsujikawa, Phys. Rev. D 75 (2007) 023520 [hep-th/0610336]; Z. K. Guo and D. J. Schwarz, Phys. Rev. D 80 (2009) 063523 [arXiv:0907.0427]; Z. K. Guo and D. J. Schwarz, Phys. Rev. D 81 (2010) 123520 [arXiv:1001.1897]; P. X. Jiang, J. W. Hu, and Z. K. Guo, Phys. Rev. D 88 (2013) 123508 [arXiv:1310.5579]; S. Koh, B. H. Lee, W. Lee, and G. Tumurtushaa, Phys. Rev. D 90 (2014) 063527 [arXiv:1404.6096]; C. van de Bruck, K. Dimopoulos, and C. Longden, Phys. Rev. D 94 (2016)

[arXiv:1605.06350]; S. Chakraborty, T. Paul, and S. SenGupta, Phys. Rev. D 98 (2018) 083539 [arXiv:1804.03004]; S. D. Odintsov and V. K. Oikonomou, Phys. Rev. D 98 (2018) 044039 [arXiv:1808.05045].

G. Antoniou, A. Bakopoulos, and P. Kanti, Phys. Rev. Lett. 120 (2018) 131102 [arXiv:1711.03390]; D. D. Doneva and S. S. Yazadjiev, Phys. Rev. Lett. 120 (2018) 131103 [arXiv:1711.01187]; H. O. Silva, J. Sakstein, L. Gualtieri, T. P. Sotiriou, and E. Berti, Phys. Rev. Lett. 120 (2018) 131104 [arXiv:1711.02080].

P. Kanti, N. E. Mavromatos, J. Rizos, K. Tamvakis, and E. Winstanley, Phys. Rev. D 54 (1996) 5049 [hep-th/9511071]; P. Kanti, N. E. Mavromatos, J. Rizos, K. Tamvakis, and E. Winstanley, Phys. Rev. D 57 (1998) 6255 [hep-th/9703192]; T. Torii, H. Yajima, and K. i. Maeda, Phys. Rev. D 55 (1997) 739 [gr-qc/9606034];

K. D. Kokkotas, R. A. Konoplya, and A. Zhidenko, Phys. Rev. D 96 (2017) 064004 [arXiv:1706.07460].

R. A. Konoplya and A. Zhidenko, Phys. Rev. D 95 (2017) 104005 [arXiv:1701.01652]; N. Deppe, A. Kolly, A. Frey, and G. Kunstatter, Phys. Rev. Lett. 114 (2015) 071102 [arXiv:1410.1869]; R. A. Konoplya and A. Zhidenko, Phys. Rev. D 77 (2008) 104004 [arXiv:0802.0267]; R. G. Cai, Phys. Rev. D 65 (2002) 084014 [hep-th/0109133]; M. Cvetic, S. Nojiri, and S. D. Odintsov, Nucl. Phys. B 628 (2002) 295 [hep-th/0112045].

P. Kanti, B. Kleihaus, and J. Kunz, Phys. Rev. Lett. 107 (2011) 271101 [arXiv:1108.3003]; P. Kanti, B. Kleihaus, and J. Kunz, Phys. Rev. D 85 (2012) 044007 [arXiv:1111.4049].

S. Lahiri, J. Cosmol. Astropart. Phys. 09 (2016) 025 [arXiv:1605.09247].

T. P. Sotiriou and S. Y. Zhou, Phys. Rev. D 90 (2014) 124063 [arXiv:1408.1698]; S. Nojiri, S. D. Odintsov, and V. K. Oikonomou, Phys. Rev. D 99 (2019) 044050 [arXiv:1811.07790].

G. Hikmawan, J. Soda, A. Suroso, and F. P. Zen, Phys. Rev. D 93 (2016) 068301 [arXiv:1512.00222].




DOI: https://doi.org/10.15625/0868-3166/29/2/13677 Display counter: Abstract : 313 views. PDF : 101 views.

Refbacks

  • There are currently no refbacks.




Editorial Office:

Communications in Physics

1st Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam

Tel: (+84) 024 3791 7102 

Email: cip@vjs.ac.vn

Copyright by