On Hořava-Lifshitz cosmology

  • We give a brief overview of the Ho&#345;avity theory, its modifications and its implications in cosmology. In particular, we discuss the various issues on the gravitational scalar mode, including its decoupling, its role as inflaton and its stability. Our analysis shows that the scalar mode could decouple naturally at λ=1 due to the extra gauge symmetry. On the other hand, the fact that the scalar mode becomes ghost when 1/3< λ < 1 is a real challenge to the theory. We try to overcome this problem by modifying the action such that the RG flow lies outside the problematic region. We discuss the cosmological implications of the theory.
      PCAS:
    • 98.80.Cq(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
  • [1] Lifshitz E M. Zh. Eksp. Teor. Fiz, 1941, 11: 255 2692 Horava P. arXiv:0811.2217 [hep-th]3 CHEN B, HUANG Q G. Phys. Lett. B, 2010, 683: 108-1134 Horava P. JHEP, 2009, 0903: 0205 Horava P. Phys. Rev. D, 2009, 79: 0840086 LI M, PANG Y. JHEP, 2009, 0908: 0157 LU H, MEI J, Pope C N. Phys. Rev. Lett., 2009, 103: 0913018 Sotiriou T P, Visser M, Weinfurtner S. JHEP, 2009, 0910: 0339 CHEN B, PI S, TANG J Z. arXiv:0910.0338 [hep-th]10 CAI R G, HU B, ZHANG H B. Phys. Rev. D, 2009, 80: 04150111 Charmousis C, Niz G, Padilla A, Sa n P M. JHEP, 2009, 0908: 070; Blas D, Pujolas O, Sibiryakov S. JHEP, 2009, 0910: 02912 Mukohyama S. JCAP, 2009, 0906: 00113 CHEN B, PI S, TANG J Z. JCAP, 2009, 0908: 00714 Kehagias A, Sfetsos K. Phys. Lett. B, 2009, 678: 12315 TANG J Z, CHEN B. Phys. Rev. D, 2010, 81: 04351516 Kobayashi T, Urakawa Y, Yamaguchi M. JCAP, 2009, 0911: 01517 Iengo R, Russo J G, Serone M. JHEP, 2009, 0911: 020
  • [1] Lifshitz E M. Zh. Eksp. Teor. Fiz, 1941, 11: 255 2692 Horava P. arXiv:0811.2217 [hep-th]3 CHEN B, HUANG Q G. Phys. Lett. B, 2010, 683: 108-1134 Horava P. JHEP, 2009, 0903: 0205 Horava P. Phys. Rev. D, 2009, 79: 0840086 LI M, PANG Y. JHEP, 2009, 0908: 0157 LU H, MEI J, Pope C N. Phys. Rev. Lett., 2009, 103: 0913018 Sotiriou T P, Visser M, Weinfurtner S. JHEP, 2009, 0910: 0339 CHEN B, PI S, TANG J Z. arXiv:0910.0338 [hep-th]10 CAI R G, HU B, ZHANG H B. Phys. Rev. D, 2009, 80: 04150111 Charmousis C, Niz G, Padilla A, Sa n P M. JHEP, 2009, 0908: 070; Blas D, Pujolas O, Sibiryakov S. JHEP, 2009, 0910: 02912 Mukohyama S. JCAP, 2009, 0906: 00113 CHEN B, PI S, TANG J Z. JCAP, 2009, 0908: 00714 Kehagias A, Sfetsos K. Phys. Lett. B, 2009, 678: 12315 TANG J Z, CHEN B. Phys. Rev. D, 2010, 81: 04351516 Kobayashi T, Urakawa Y, Yamaguchi M. JCAP, 2009, 0911: 01517 Iengo R, Russo J G, Serone M. JHEP, 2009, 0911: 020
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CHEN Bin. On Ho&#345;ava-Lifshitz cosmology[J]. Chinese Physics C, 2011, 35(5): 429-435. doi: 10.1088/1674-1137/35/5/004
CHEN Bin. On Ho&#345;ava-Lifshitz cosmology[J]. Chinese Physics C, 2011, 35(5): 429-435.  doi: 10.1088/1674-1137/35/5/004 shu
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Received: 2010-08-12
Revised: 2010-11-16
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On Ho&#345;ava-Lifshitz cosmology

  • Department of Physics, and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China

Abstract: We give a brief overview of the Ho&#345;avity theory, its modifications and its implications in cosmology. In particular, we discuss the various issues on the gravitational scalar mode, including its decoupling, its role as inflaton and its stability. Our analysis shows that the scalar mode could decouple naturally at λ=1 due to the extra gauge symmetry. On the other hand, the fact that the scalar mode becomes ghost when 1/3< λ < 1 is a real challenge to the theory. We try to overcome this problem by modifying the action such that the RG flow lies outside the problematic region. We discuss the cosmological implications of the theory.

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