反弹暴涨成功解决了暴涨无法解决的奇点问题。一般地,该模型反弹区域持续时间较短。着重讨论宽反弹情形,并研究宽反弹期间的引力波功率谱。
The bounce inflation is successful in solving the initial singularity problem of inflation and is also competitive in explaining the power deficit in CMB at large scale. Generally, the duration that the bounce lasts is short (the so-called narrow bounce). However, the case of broad bounce is not ruled out. In this study, we focus on the tensor perturbation during the inflation with a broad bounce. We find that the power spectrum may be very different from that in narrow bounce model.
[1] Guth A H. Inflationary universe:a possible solution to the horizon and flatness problems[J]. Physical Review D, 1981, 23(2):347-356.
[2] Linde A D. A new inflationary universe scenario:a possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems[J]. Physics Letters B, 1982, 108(6):389-393.
[3] Albrecht A, Steinhardt P J. Cosmology for grand unified theories with radiatively induced symmetry breaking[J]. Physical Review Letters, 1982, 48(17):1220-1223.
[4] Komatsu E, Smith K M, Dunkley J, et al. Seven-year wilkinson microwave anisotropy probe (WMAP) observations:cosmological interpretation[C]//Intelligent Signal Processing and Communication Systems (ISPACS), 2010 International Symposium on. IEEE, 2010:1-4.
[5] Piao Y S, Feng B, Zhang X. Suppressing the CMB quadrupole with a bounce from the contracting phase to inflation[J]. Physical Review D, 2013, 88(6):90-103.
[6] Piao Y S. Possible explanation to a low CMB quadrupole[J]. Physical Review D, 2005, 71(8):287-294.
[7] Piao Y S, Tsujikawa S, Zhang X. Inflation in string-inspired cosmology and suppression of CMB low multipoles[J]. Classical & Quantum Gravity, 2003, 21(18):4455-4461.
[8] Biswas T, Mazumdar A. Super-inflation, non-singular bounce, and low multipoles[J]. Classical & Quantum Gravity, 2013, 31(2):25019-25025.
[9] Liu Z G, Guo Z K, Piao Y S. Obtaining the CMB anomalies with a bounce from the contracting phase to inflation[J]. Physical Review D, 2013, 88(6):063539.
[10] Liu Z G, Guo Z K, Piao Y S. CMB anomalies from an inflationary model in string theory[J]. European Physical Journal C, 2014, 74(8):3006.
[11] Falciano F T. Classical bounce:constraints and consequences[J]. Physical Review D, 2012, 77(8):284-299.
[12] Lilley M, Lorenz L, Clesse S. Observational signatures of a non-singular bouncing cosmology[J]. Journal of Cosmology & Astroparticle Physics, 2011, 6(6):1167-1183.
[13] Mielczarek J. Gravitational waves from the big bounce[J]. Journal of Cosmology & Astroparticle Physics, 2008, 2008(11):458-461.
[14] Xia J Q, Cai Y F, Li H, et al. Evidence for bouncing evolution before inflation after BICEP2[J]. Physical Review Letters, 2014, 112(25):251301.
[15] Wang Y T, Piao Y S. Parity violation in pre-inflationary bounce[J]. Physics Letters B, 2015, 741(C):55-60.
[16] Qiu T, Wang Y T. G-bounce inflation:towards nonsingular inflation cosmology with galileon field[J]. Journal of High Energy Physics, 2015, 4(4):1-28.
[17] Wan Y, Qiu T, Huang F P, et al. Bounce inflation cosmology with standard model higgs boson[J]. Journal of Cosmology & Astroparticle Physics, 2015(12):19.
[18] Cai Y, Wan Y, Li H G, et al. The effective field theory of nonsingular cosmology[J]. Journal of High Energy Physics, 2017(1):90.
[19] Cai Y, Li H G, Qiu T and Piao Y S. The effective field theory of nonsingular cosmology:Ⅱ[J]. The European Physical Journal C, 2017, 77(6):369.
[20] Cai Y, Piao Y S. A covariant Lagrangian for stable nonsingular bounce[J]. Journal of High Energy Physics, 2017, 2017(9):27.
[21] Cai Y, Wang Y T, Piao Y S. Pre-inflationary primordial perturbations[J]. Phys Rev D, 2015:92.
[22] Battefeld D, Peter P. A critical review of classical bouncing cosmologies[J]. Physics Reports, 2014, 571:1-66.
[23] Lehners J L. Cosmic bounces and cyclic universes[J]. Classical & Quantum Gravity, 2011, 28(20):3990-3997.
[24] Guzzetti M C, Bartolo N, Liguori M, et al. Gravitational waves from inflation[J]. Nuovo Cimento Rivista Serie, 2016, 39:399-495.
[25] Li H G, Cai Y, Piao Y S. Towards the bounce inflationary gravitational wave[J]. European Physical Journal C, 2016, 76(12):699.