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The European Physical Journal C

, Volume 70, Issue 4, pp 1111–1118 | Cite as

Stability of the Einstein static universe in IR modified Hořava gravity

  • Christian G. BöhmerEmail author
  • Francisco S. N. Lobo
Regular Article - Theoretical Physics

Abstract

Recently, Hořava proposed a power counting renormalizable theory for (3+1)-dimensional quantum gravity, which reduces to Einstein gravity with a non-vanishing cosmological constant in IR, but possesses improved UV behaviors. In this work, we analyze the stability of the Einstein static universe by considering linear homogeneous perturbations in the context of an IR modification of Hořava gravity, which implies a ‘soft’ breaking of the ‘detailed balance’ condition. The stability regions of the Einstein static universe is parameterized by the linear equation of state parameter w=p/ρ and the parameters appearing in the Hořava theory, and it is shown that a large class of stable solutions exists in the respective parameter space.

Keywords

Quantum Gravity High Energy Phys Detailed Balance High Derivative Term Loop Quantum Cosmology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    P. Horava, J. High Energy Phys. 0903, 020 (2009). arXiv:0812.4287 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  2. 2.
    P. Horava, Phys. Rev. D 79, 084008 (2009). arXiv:0901.3775 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  3. 3.
    T.P. Sotiriou, M. Visser, S. Weinfurtner, Phys. Rev. Lett. 102, 251601 (2009). arXiv:0904.4464 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  4. 4.
    M. Visser, Phys. Rev. D 80, 025011 (2009). arXiv:0902.0590 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  5. 5.
    P. Horava, Phys. Rev. Lett. 102, 161301 (2009) CrossRefMathSciNetADSGoogle Scholar
  6. 6.
    J. Kluson, J. High Energy Phys. 0907, 079 (2009). arXiv:0904.1343 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  7. 7.
    R.G. Cai, Y. Liu, Y.W. Sun, J. High Energy Phys. 0906, 010 (2009) CrossRefMathSciNetADSGoogle Scholar
  8. 8.
    B. Chen, Q.G. Huang, Phys. Lett. B 683, 108 (2010). arXiv:0904.4565 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  9. 9.
    D. Orlando, S. Reffert, Class. Quantum Gravity 26, 155021 (2009). arXiv:0905.0301 [hep-th] CrossRefADSGoogle Scholar
  10. 10.
    R.G. Cai, B. Hu, H.B. Zhang, Phys. Rev. D 80, 041501 (2009). arXiv:0905.0255 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  11. 11.
    T. Nishioka, Class. Quantum Gravity 26, 242001 (2009). arXiv:0905.0473 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  12. 12.
    J. Kluson, Phys. Rev. D 80, 046004 (2009). arXiv:0905.1483 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  13. 13.
    M. Li, Y. Pang, J. High Energy Phys. 0908, 015 (2009). arXiv:0905.2751 [hep-th] MathSciNetADSGoogle Scholar
  14. 14.
    C. Charmousis, G. Niz, A. Padilla, P.M. Saffin, J. High Energy Phys. 0908, 070 (2009). arXiv:0905.2579 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  15. 15.
    T.P. Sotiriou, M. Visser, S. Weinfurtner, J. High Energy Phys. 0910, 033 (2009). arXiv:0905.2798 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  16. 16.
    G. Calcagni, Phys. Rev. D 81, 044006 (2010). arXiv:0905.3740 [hep-th] CrossRefADSGoogle Scholar
  17. 17.
    Blas, O. Pujolas S. Sibiryakov, J. High Energy Phys. 0910, 029 (2009). arXiv:0906.3046 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  18. 18.
    R. Iengo, J.G. Russo, M. Serone, J. High Energy Phys. 0911, 020 (2009). arXiv:0906.3477 [hep-th] CrossRefADSGoogle Scholar
  19. 19.
    G. Calcagni, J. High Energy Phys. 0909, 112 (2009). arXiv:0904.0829 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  20. 20.
    T. Takahashi, J. Soda, Phys. Rev. Lett. 102, 231301 (2009). arXiv:0904.0554 [hep-th] CrossRefADSGoogle Scholar
  21. 21.
    E. Kiritsis, G. Kofinas, Nucl. Phys. B 821, 467 (2009). arXiv:0904.1334 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  22. 22.
    S. Mukohyama, J. Cosmol. Astropart. Phys. 0906, 001 (2009) CrossRefADSGoogle Scholar
  23. 23.
    R. Brandenberger, arXiv:0904.2835 [hep-th]
  24. 24.
    Y.S. Piao, arXiv:0904.4117 [hep-th]
  25. 25.
    X. Gao, arXiv:0904.4187 [hep-th]
  26. 26.
    S. Mukohyama, K. Nakayama, F. Takahashi, S. Yokoyama, Phys. Lett. B 679, 6 (2009). arXiv:0905.0055 [hep-th] ADSGoogle Scholar
  27. 27.
    S. Kalyana Rama, Phys. Rev. D 79, 124031 (2009). arXiv:0905.0700 [hep-th] CrossRefADSGoogle Scholar
  28. 28.
    B. Chen, S. Pi, J.Z. Tang, J. Cosmol. Astropart. Phys. 0908, 007 (2009). arXiv:0905.2300 [hep-th] CrossRefADSGoogle Scholar
  29. 29.
    X. Gao, Y. Wang, R. Brandenberger, A. Riotto, Phys. Rev. D 81, 083508 (2010). arXiv:0905.3821 [hep-th] ADSGoogle Scholar
  30. 30.
    M. Minamitsuji, Phys. Lett. B 684, 194 (2010). arXiv:0905.3892 [astro-ph.CO] CrossRefMathSciNetADSGoogle Scholar
  31. 31.
    A. Wang, Y. Wu, J. Cosmol. Astropart. Phys. 0907, 012 (2009). arXiv:0905.4117 [hep-th] CrossRefADSGoogle Scholar
  32. 32.
    S. Nojiri, S.D. Odintsov, Phys. Rev. D 81, 043001 (2010). arXiv:0905.4213 [hep-th] CrossRefADSGoogle Scholar
  33. 33.
    Y.F. Cai, E.N. Saridakis, J. Cosmol. Astropart. Phys. 0910, 020 (2009). arXiv:0906.1789 [hep-th] CrossRefADSGoogle Scholar
  34. 34.
    A. Wang, R. Maartens, Phys. Rev. D 81, 024009 (2010). arXiv:0907.1748 [hep-th] CrossRefADSGoogle Scholar
  35. 35.
    T. Kobayashi, Y. Urakawa, M. Yamaguchi, J. Cosmol. Astropart. Phys. 0911, 015 (2009). arXiv:0908.1005 [astro-ph.CO] CrossRefMathSciNetADSGoogle Scholar
  36. 36.
    G. Leon, E.N. Saridakis, J. Cosmol. Astropart. Phys. 0911, 006 (2009). arXiv:0909.3571 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  37. 37.
    M.R. Setare, arXiv:0909.0456 [hep-th]
  38. 38.
    E.N. Saridakis, Eur. Phys. J. C 67, 229 (2010). arXiv:0905.3532 [hep-th] ADSGoogle Scholar
  39. 39.
    E. Elizalde, S. Nojiri, S.D. Odintsov, D. Saez-Gomez, arXiv:1006.3387 [hep-th]
  40. 40.
    M.i. Park, J. Cosmol. Astropart. Phys. 1001, 001 (2010). arXiv:0906.4275 [hep-th] CrossRefADSGoogle Scholar
  41. 41.
    M. Chaichian, S. Nojiri, S.D. Odintsov, M. Oksanen, A. Tureanu, Class. Quantum Gravity 27, 185021 (2010). arXiv:1001.4102 [hep-th] CrossRefADSGoogle Scholar
  42. 42.
    S. Carloni, M. Chaichian, S. Nojiri, S.D. Odintsov, M. Oksanen, A. Tureanu, Phys. Rev. D 82, 065020 (2010). arXiv:1003.3925 [hep-th] ADSGoogle Scholar
  43. 43.
    S. Mukohyama, arXiv:0905.3563 [hep-th]
  44. 44.
    H. Nastase, arXiv:0904.3604 [hep-th]
  45. 45.
    R.G. Cai, L.M. Cao, N. Ohta, Phys. Rev. D 80, 024003 (2009). arXiv:0904.3670 [hep-th] MathSciNetADSGoogle Scholar
  46. 46.
    Y.S. Myung, Y.W. Kim, arXiv:0905.0179 [hep-th]
  47. 47.
    R.B. Mann, J. High Energy Phys. 0906, 075 (2009) CrossRefADSGoogle Scholar
  48. 48.
    S. Chen, J. Jing, Phys. Lett. B 687, 124 (2010). arXiv:0905.1409 [gr-qc] CrossRefMathSciNetADSGoogle Scholar
  49. 49.
    M. Botta-Cantcheff, N. Grandi, M. Sturla, arXiv:0906.0582 [hep-th]
  50. 50.
    A. Castillo, A. Larranaga, arXiv:0906.4380 [gr-qc]
  51. 51.
    J.J. Peng, S.Q. Wu, Eur. Phys. J. C 66, 325 (2010). arXiv:0906.5121 [hep-th] CrossRefADSGoogle Scholar
  52. 52.
    H. Lu, J. Mei, C.N. Pope, Phys. Rev. Lett. 103, 091301 (2009). arXiv:0904.1595 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  53. 53.
    A. Kehagias, K. Sfetsos, Phys. Lett. B 678, 123 (2009) CrossRefMathSciNetADSGoogle Scholar
  54. 54.
    A. Ghodsi, E. Hatefi, Phys. Rev. Lett. 81, 044016 (2010). arXiv:0906.1237 [hep-th] MathSciNetADSGoogle Scholar
  55. 55.
    M.i. Park, J. High Energy Phys. 0909, 123 (2009). arXiv:0905.4480 [hep-th] CrossRefADSGoogle Scholar
  56. 56.
    R.A. Konoplya, Phys. Lett. B 679, 499 (2009). arXiv:0905.1523 [hep-th] CrossRefMathSciNetADSGoogle Scholar
  57. 57.
    S.b. Chen, J.l. Jing, Phys. Rev. D 80, 024036 (2009). arXiv:0905.2055 [gr-qc] MathSciNetADSGoogle Scholar
  58. 58.
    J. Chen, Y. Wang, Int. J. Mod. Phys. A 25, 1439 (2010). arXiv:0905.2786 [gr-qc] zbMATHCrossRefADSGoogle Scholar
  59. 59.
    T. Harko, Z. Kovacs, F.S.N. Lobo, Phys. Rev. D 80, 044021 (2009). arXiv:0907.1449 [gr-qc] ADSGoogle Scholar
  60. 60.
    S.S. Kim, T. Kim, Y. Kim, arXiv:0907.3093 [hep-th]
  61. 61.
    T. Harko, Z. Kovacs, F.S.N. Lobo, arXiv:0908.2874 [gr-qc]
  62. 62.
    L. Iorio, M.L. Ruggiero, arXiv:0909.2562 [gr-qc]
  63. 63.
    P. Wu, H.W. Yu, Phys. Rev. D 81, 103522 (2010). arXiv:0909.2821 [gr-qc] ADSGoogle Scholar
  64. 64.
    G.F.R. Ellis, R. Maartens, Class. Quantum Gravity 21, 223 (2004) zbMATHCrossRefMathSciNetADSGoogle Scholar
  65. 65.
    A. Ibrahim, Y. Nutku, Gen. Relativ. Gravit. 7, 949 (1976) CrossRefMathSciNetADSGoogle Scholar
  66. 66.
    C.G. Böhmer, arXiv:gr-qc/0308057
  67. 67.
    C.G. Böhmer, Gen. Relativ. Gravit. 36, 1039 (2004) zbMATHCrossRefADSGoogle Scholar
  68. 68.
    L.A. Gergely, R. Maartens, Class. Quantum Gravity 19, 213 (2002) zbMATHCrossRefMathSciNetADSGoogle Scholar
  69. 69.
    A. Gruppuso, E. Roessl, M. Shaposhnikov, J. High Energy Phys. 0408, 011 (2004) CrossRefMathSciNetADSGoogle Scholar
  70. 70.
    S.S. Seahra, C. Clarkson, R. Maartens, Class. Quantum Gravity 22, L91 (2005) zbMATHCrossRefMathSciNetADSGoogle Scholar
  71. 71.
    C. Clarkson, S.S. Seahra, Class. Quantum Gravity 22, 3653 (2005) zbMATHCrossRefMathSciNetADSGoogle Scholar
  72. 72.
    C.G. Böhmer, Class. Quantum Gravity 21, 1119 (2004) zbMATHCrossRefADSGoogle Scholar
  73. 73.
    D.J. Mulryne, R. Tavakol, J.E. Lidsey, G.F.R. Ellis, Phys. Rev. D 71, 123512 (2005) ADSGoogle Scholar
  74. 74.
    L. Parisi, M. Bruni, R. Maartens, K. Vandersloot, Class. Quantum Gravity 24, 6243 (2007) zbMATHCrossRefMathSciNetADSGoogle Scholar
  75. 75.
    C.G. Böhmer, L. Hollenstein, F.S.N. Lobo, Phys. Rev. D 76, 084005 (2007) MathSciNetADSGoogle Scholar
  76. 76.
    R. Goswami, N. Goheer, P.K.S. Dunsby, Phys. Rev. D 78, 044011 (2008) MathSciNetADSGoogle Scholar
  77. 77.
    N. Goheer, R. Goswami, P.K.S. Dunsby, Class. Quantum Gravity 26, 105003 (2009). arXiv:0809.5247 [gr-qc] CrossRefMathSciNetADSGoogle Scholar
  78. 78.
    S.S. Seahra, C.G. Böhmer, Phys. Rev. D 79, 064009 (2009). arXiv:0901.0892 [gr-qc] CrossRefMathSciNetADSGoogle Scholar
  79. 79.
    C.G. Böhmer, F.S.N. Lobo, Phys. Rev. D 79, 067504 (2009) ADSGoogle Scholar
  80. 80.
    S. Nojiri, S.D. Odintsov, Phys. Lett. B 631, 1 (2005). arXiv:hep-th/0508049 MathSciNetADSGoogle Scholar
  81. 81.
    S. Nojiri, S.D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115 (2007) zbMATHCrossRefMathSciNetGoogle Scholar
  82. 82.
    G. Cognola, E. Elizalde, S. Nojiri, S.D. Odintsov, S. Zerbini, Phys. Rev. D 73, 084007 (2006) ADSGoogle Scholar
  83. 83.
    J.D. Barrow, G.F.R. Ellis, R. Maartens, C.G. Tsagas, Class. Quantum Gravity 20, L155 (2003) zbMATHCrossRefMathSciNetADSGoogle Scholar
  84. 84.
    J.D. Barrow, A.C. Ottewill, J. Phys. A 16, 2757 (1983) MathSciNetADSGoogle Scholar
  85. 85.
    T. Clifton, J.D. Barrow, Phys. Rev. D 72, 123003 (2005) MathSciNetADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  1. 1.Department of Mathematics and Institute of OriginsUniversity College LondonLondonUK
  2. 2.Centro de Física Teórica e ComputacionalFaculdade de Ciências da Universidade de LisboaLisbonPortugal

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