HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 118 (2007) > Number 5
| Next Article >

Prog. Theor. Phys. Vol. 118 No. 5 (2007) pp. 879-892

[ Full Text PDF (358K) ]  [ Buy This Article ]

Accelerating Cosmologies in the Einstein-Gauss-Bonnet Theory with a Dilaton

Kazuharu Bamba,* Zong-Kuan Guo** and Nobuyoshi Ohta***

Department of Physics, Kinki University, Higashi-Osaka 577-8502, Japan

(Received August 2, 2007)

Abstract:

We study cosmological solutions in low-energy effective heterotic string theory, which consists of the Einstein gravity with the Gauss-Bonnet term and a dilaton. We show that the field equations take the form of an autonomous system for flat internal and external spaces, and we derive all the fixed points in the system. We also examine the time evolution of the solutions and the question of whether the solutions can describe (transient) accelerated expansion of our four-dimensional space in the Einstein frame.


URL : http://ptp.ipap.jp/link?PTP/118/879/
DOI : 10.1143/PTP.118.879


*E-mail: bamba@phys.kindai.ac.jp
**E-mail: guozk@phys.kindai.ac.jp
***E-mail: ohtan@phys.kindai.ac.jp

[ Full Text PDF (358K) ]  [ Buy This Article ]  Citation:

References:

  1. D. N. Spergel et al. (WMAP Collaboration), Astrophys. J. Suppl. 148 (2003), 175[CrossRef]; astro-ph/0302209[e-print arXiv]; Astrophys. J. Suppl. 170 (2007), 377; astro-ph/0603449[e-print arXiv].
    H. V. Peiris et al. (WMAP Collaboration), Astrophys. J. Suppl. 148 (2003), 213; astro-ph/0302225[e-print arXiv].
  2. P. K. Townsend and M. N. R. Wohlfarth, Phys. Rev. Lett. 91 (2003), 061302[APS]; hep-th/0303097[e-print arXiv].
  3. N. Ohta, Phys. Rev. Lett. 91 (2003), 061303[APS]; hep-th/0303238[e-print arXiv]; Prog. Theor. Phys. 110 (2003), 269[IPAP]; hep-th/0304172[e-print arXiv].
  4. M. N. R. Wohlfarth, Phys. Lett. B 563 (2003), 1[CrossRef]; hep-th/0304089[e-print arXiv].
  5. C. M. Chen, D. V. Gal'tsov and M. Gutperle, Phys. Rev. D 66 (2002), 024043[APS]; hep-th/0204071[e-print arXiv].
    N. Ohta, Phys. Lett. B 558 (2003), 213[CrossRef]; hep-th/0301095[e-print arXiv].
  6. L. Cornalba and M. S. Costa, Phys. Rev. D 66 (2002), 066001[APS]; hep-th/0203031[e-print arXiv].
    C. P. Burgess, F. Quevedo, S. J. Rey, G. Tasinato and I. Zavala, J. High Energy Phys. 10 (2002), 028[IoP STACKS]; hep-th/0207104[e-print arXiv].
    S. Roy, Phys. Lett. B 567 (2003), 322[CrossRef]; hep-th/0304084[e-print arXiv].
    A. Buchel and J. Walcher, J. High Energy Phys. 05 (2003), 069[IoP STACKS]; hep-th/0305055[e-print arXiv].
    C. Armendariz-Picon and V. Duvvuri, Class. Quantum Grav. 21 (2004), 2011[IoP STACKS]; hep-th/0305237[e-print arXiv].
    C. P. Burgess, P. Martineau, F. Quevedo, G. Tasinato and I. Zavala C., J. High Energy Phys. 03 (2003), 050[IoP STACKS]; hep-th/0301122[e-print arXiv].
    I. P. Neupane and D. L. Wiltshire, Phys. Lett. B 619 (2005), 201[CrossRef]; hep-th/0502003[e-print arXiv]; Phys. Rev. D 72 (2005), 083509[APS]; hep-th/0504135[e-print arXiv].
  7. L. Cornalba and M. S. Costa, Fortsch. Phys. 52 (2004), 145; hep-th/0310099[e-print arXiv].
    V. Balasubramanian, Class. Quantum Grav. 21 (2004), S1337[IoP STACKS]; hep-th/0404075[e-print arXiv].
    N. Ohta, Int. J. Mod. Phys. A 20 (2005), 1; hep-th/0411230[e-print arXiv].
  8. C. M. Chen, P. M. Ho, I. P. Neupane, N. Ohta and J. E. Wang, J. High Energy Phys. 10 (2003), 058[IoP STACKS]; hep-th/0306291[e-print arXiv]; J. High Energy Phys. 11 (2006), 044[IoP STACKS]; hep-th/0609043[e-print arXiv].
  9. S. Kachru, R. Kallosh, A. Linde, J. M. Maldacena, L. McAllister and S. P. Trivedi, J. Cosmol. Astropart. Phys. 10 (2003), 013[IoP STACKS]; hep-th/0308055[e-print arXiv].
  10. A. A. Starobinsky, Phys. Lett. B 91 (1980), 99[CrossRef].
  11. D. J. Gross and J. H. Sloan, Nucl. Phys. B 291 (1987), 41[CrossRef].
  12. M. de Roo, H. Suelmann and A. Wiedemann, Nucl. Phys. B 405 (1993), 326[CrossRef]; hep-th/9210099[e-print arXiv].
  13. A. A. Tseytlin, Nucl. Phys. B 467 (1996), 383[CrossRef]; hep-th/9512081[e-print arXiv].
  14. K. Peeters, P. Vanhove and A. Westerberg, Class. Quantum Grav. 18 (2001), 843[IoP STACKS]; hep-th/0010167[e-print arXiv].
  15. H. Ishihara, Phys. Lett. B 179 (1986), 217[CrossRef].
  16. K. Maeda, Phys. Lett. B 166 (1986), 59[CrossRef].
    B. C. Paul and S. Mukherjee, Phys. Rev. D 42 (1990), 2595[APS].
    M. Gasperini and M. Giovannini, Phys. Lett. B 287 (1992), 56[CrossRef].
  17. M. H. Dehghani, Phys. Rev. D 70 (2004), 064009[APS].
  18. S. Nojiri, S. D. Odintsov and M. Sasaki, Phys. Rev. D 71 (2005), 123509[APS]; hep-th/0504052[e-print arXiv].
    G. Calcagni, S. Tsujikawa and M. Sami, Class. Quantum Grav. 22 (2005), 3977[IoP STACKS]; hep-th/0505193[e-print arXiv].
    S. Nojiri, S. D. Odintsov and M. Sami, Phys. Rev. D 74 (2006), 046004[APS]; hep-th/0605039[e-print arXiv].
    S. Tsujikawa, Ann. der Phys. 15 (2006), 302; hep-th/0606040[e-print arXiv].
    T. Koivisto and D. F. Mota, Phys. Lett. B 644 (2007), 104[CrossRef]; astro-ph/0606078[e-print arXiv]; Phys. Rev. D 75 (2007), 023518[APS]; hep-th/0609155[e-print arXiv].
    K. Andrew, B. Bolen and C. A. Middleton, hep-th/0608127[e-print arXiv].
    S. Tsujikawa and M. Sami, J. Cosmol. Astropart. Phys. 01 (2007), 006[IoP STACKS]; hep-th/0608178[e-print arXiv].
    S. Nojiri and S. D. Odintsov, hep-th/0611071[e-print arXiv].
    G. Cognola et al., Phys. Rev. D 75 (2007), 086002[APS]; hep-th/0611198[e-print arXiv].
    E. Elizalde et al., Phys. Lett. B 644, (2007), 1[CrossRef]; hep-th/0611213[e-print arXiv].
    B. M. Leith and I. P. Neupane, J. Cosmol. Astropart. Phys. 05 (2007), 019[IoP STACKS]; hep-th/0702002[e-print arXiv].
    L. Amendola, C. Charmousis and S. C. Davis, arXiv:0704.0175[e-print arXiv].
    A. Sheykhi, B. Wang and N. Riazi, Phys. Rev. D 75 (2007), 123513[APS]; arXiv:0704.0666[e-print arXiv].
    S. Nojiri, S. D. Odintsov and P. V. Tretyakov, arXiv:0704.2520[e-print arXiv].
    E. Elizalde et al., arXiv:0705.1211[e-print arXiv].
    F. Canfora, A. Giacomini and S. Willison, arXiv:0706.2891[e-print arXiv].
  19. Z. K. Guo, N. Ohta and S. Tsujikawa, Phys. Rev. D 75 (2007), 023520[APS]; hep-th/0610336[e-print arXiv].
  20. K. Maeda and N. Ohta, Phys. Lett. B 597 (2004), 400[CrossRef]; hep-th/0405205[e-print arXiv]; Phys. Rev. D 71 (2005), 063520[APS]; hep-th/0411093[e-print arXiv].
    K. Akune, K. Maeda and N. Ohta, Phys. Rev. D 73 (2006), 103506[APS]; hep-th/0602242[e-print arXiv].
  21. L. Andersson and J. M. Heinzle, hep-th/0602102[e-print arXiv].
  22. J. Sonner and P. K. Townsend, Phys. Rev. D 74 (2006), 103508[APS]; hep-th/0608068[e-print arXiv].
  23. Y. S. Piao and E. Zhou, Phys. Rev. D 68 (2003), 083515[APS]; hep-th/0308080[e-print arXiv].
    Y. S. Piao and Y. Z. Zhang, Phys. Rev. D 70 (2004), 063513[APS]; astro-ph/0401231[e-print arXiv].
    Z. K. Guo, Y. S. Piao and Y. Z. Zhang, Phys. Lett. B 594 (2004), 247[CrossRef]; astro-ph/0404225[e-print arXiv].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 120 No. 3 (2008) pp. 581-607 :
    Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions. I
    Zong-Kuan Guo, Nobuyoshi Ohta and Takashi Torii
  2. Progress of Theoretical Physics Vol. 121 No. 2 (2009) pp. 253-273 :
    Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions. II
    Zong-Kuan Guo, Nobuyoshi Ohta and Takashi Torii
  3. Progress of Theoretical Physics Vol. 121 No. 5 (2009) pp. 959-981 :
    Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions. III
    Nobuyoshi Ohta and Takashi Torii
  4. Progress of Theoretical Physics Vol. 122 No. 6 (2009) pp. 1477-1500 :
    Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions. IV
    Nobuyoshi Ohta and Takashi Torii

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2010 All rights reserved.