Doubly coupled matter fields in massive bigravity

  • In the context of massive (bi-)gravity, non-minimal matter couplings have been proposed. These couplings are special in the sense that they are free of the Boulware-Deser ghost below the strong coupling scale and can be used consistently as an effective field theory. Furthermore, they enrich the phenomenology of massive gravity. We consider these couplings in the framework of bimetric gravity and study the cosmological implications for background and linear tensor, vector, and scalar Previous works have investigated special branches of solutions. Here we perform a complete perturbation analysis for the general background equations of motion, completing previous analyses.
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  • [1] P. A. R. Ade et al (Planck), (2015), arXiv: 1506.07135 [astroph.CO]
    [2] P. A. R. Ade et al (Planck), (2015), arXiv: 1502.01589 [astroph.CO]
    [3] P. Ade et al (Planck), (2015), arXiv: 1502.02114 [astro-ph.CO]
    [4] L. Amendola et a. (Euclid Theory Working Group), Living Rev. Rel., 16: 6 (2013), arXiv: 1206.1225 [astro-ph.CO]
    [5] S. Weinberg, Rev. Mod. Phys., 61: 1 (1989)
    [6] G. W. Horndeski, Int. J. Theor. Phys., 10: 363 (1974)
    [7] A. Nicolis, R. Rattazzi, and E. Trincherini, Phys. Rev. D, 79:064036 (2009), arXiv: 0811.2197 [hep-th]
    [8] C. Deffayet, G. Esposito-Farese, and A. Vikman, Phys. Rev. D, 79: 084003 (2009), arXiv: 0901.1314 [hep-th]
    [9] C. Deffayet, S. Deser, and G. Esposito-Farese, Phys. Rev. D, 80: 064015 (2009), arXiv: 0906.1967 [gr-qc]
    [10] C. Deffayet, X. Gao, D. Steer, and G. Zahariade, Phys. Rev. D, 84: 064039 (2011), arXiv: 1103.3260 [hep-th]
    [11] A. De Felice and S. Tsujikawa, Phys. Rev. Lett., 105: 111301 (2010), arXiv: 1007.2700 [astro-ph.CO]
    [12] T. Kobayashi, M. Yamaguchi, and J. Yokoyama, Phys. Rev. Lett., 105: 231302 (2010), arXiv: 1008.0603 [hep-th]
    [13] T. Kobayashi, M. Yamaguchi, and J. Yokoyama, Prog. Theor. Phys., 126: 511 (2011), arXiv: 1105.5723 [hep-th]
    [14] X. Gao and D. A. Steer, JCAP, 1112: 019 (2011), arXiv: 1107.2642 [astro-ph.CO]
    [15] X. Gao, JCAP, 1110: 021 (2011), arXiv: 1106.0292 [astroph.CO]
    [16] A. De Felice and S. Tsujikawa, Phys. Rev. D, 84: 083504 (2011), arXiv: 1107.3917 [gr-qc]
    [17] C. de Rham and L. Heisenberg, Phys. Rev. D, 84: 043503 (2011), arXiv: 1106.3312 [hep-th]
    [18] L. Heisenberg, R. Kimura, and K. Yamamoto, Phys. Rev. D, 89: 103008 (2014), arXiv: 1403.2049 [hep-th]
    [19] G. W. Horndeski, J. Math. Phys., 17: 1980 (1976)
    [20] G. Esposito-Farese, C. Pitrou, and J.-P. Uzan, Phys. Rev. D, 81: 063519 (2010), arXiv: 0912.0481 [gr-qc]
    [21] J. Beltran Jimenez, R. Lazkoz, and A. L. Maroto, Phys. Rev. D, 80: 023004 (2009), arXiv: 0904.0433 [astro-ph.CO]
    [22] J. B. Jimenez, A. L. Delvas Froes, and D. F. Mota, Phys. Lett. B, 725: 212 (2013), arXiv: 1212.1923 [astro-ph.CO]
    [23] J. B. Jimnez, R. Durrer, L. Heisenberg, and M. Thorsrud, JCAP, 1310: 064 (2013), arXiv: 1308.1867 [hep-th]
    [24] J. Beltrn Jimnez and T. S. Koivisto, Class. Quant. Grav., 31: 135002 (2014), arXiv: 1402.1846 [gr-qc]
    [25] L. Heisenberg, JCAP, 1405: 015 (2014), arXiv: 1402.7026 [hepth]
    [26] G. Tasinato, JHEP, 04: 067 (2014), arXiv: 1402.6450 [hep-th]
    [27] E. Allys, P. Peter, and Y. Rodriguez, (2015), arXiv: 1511.03101 [hep-th]
    [28] M. Fierz and W. Pauli, Proc. Roy. Soc. Lond. A, 173: 211 (1939)
    [29] H. van Dam and M. Veltman, Nucl. Phys. B, 22: 397 (1970)
    [30] V. Zakharov, JETP Lett., 12: 312 (1970)
    [31] A. Vainshtein, Phys. Lett. B, 39: 393 (1972)
    [32] D. G. Boulware and S. Deser, Phys. Rev. D, 6: 3368 (1972)
    [33] C. de Rham and G. Gabadadze, Phys. Rev. D, 82: 044020 (2010), arXiv: 1007.0443 [hep-th]
    [34] C. de Rham, G. Gabadadze, and A. J. Tolley, Phys. Rev. Lett., 106: 231101 (2011), arXiv: 1011.1232 [hep-th]
    [35] S. Hassan and R. A. Rosen, JHEP, 1107: 009 (2011), arXiv: 1103.6055 [hep-th]
    [36] S. Hassan and R. A. Rosen, Phys. Rev. Lett., 108: 041101 (2012), arXiv: 1106.3344 [hep-th]
    [37] S. Hassan and R. A. Rosen, JHEP, 1202: 126 (2012), arXiv: 1109.3515 [hep-th]
    [38] C. de Rham, L. Heisenberg, and R. H. Ribeiro, Phys. Rev. D, 88: 084058 (2013), arXiv: 1307.7169 [hep-th]
    [39] C. de Rham, L. Heisenberg, and R. H. Ribeiro, Class. Quant. Grav., 32: 035022 (2015), arXiv: 1408.1678 [hep-th]
    [40] J. Noller and S. Melville, JCAP, 1501: 003 (2015), arXiv: 1408.5131 [hep-th]
    [41] L. Heisenberg, Class. Quant. Grav., 32: 105011 (2015), arXiv: 1410.4239 [hep-th]
    [42] C. de Rham, L. Heisenberg, and R. H. Ribeiro, Phys. Rev. D, 90: 124042 (2014), arXiv: 1409.3834 [hep-th]
    [43] Q.-G. Huang, R. H. Ribeiro, Y.-H. Xing, K.-C. Zhang, and S.-Y. Zhou, Phys. Lett. B, 748: 356 (2015), arXiv: 1505.02616 [hep-th]
    [44] L. Heisenberg, Phys. Rev. D, 92: 023525 (2015), arXiv: 1505.02966 [hep-th]
    [45] S. Melville and J. Noller, (2015), arXiv: 1511.01485 [hep-th]
    [46] K. Hinterbichler and R. A. Rosen, Phys. Rev. D, 92: 024030 (2015), arXiv: 1503.06796 [hep-th]
    [47] C. de Rham and A. J. Tolley, Phys. Rev. D, 92: 024024 (2015), arXiv: 1505.01450 [hep-th]
    [48] A. De Felice, A. E. Gmrkolu,L. Heisenberg, and S. Mukohyama, (2015), arXiv: 1509.05978 [hep-th]
    [49] A. Emir Gmrkolu,L. Heisenberg, and S. Mukohyama, JCAP, 1502: 022 (2015), arXiv: 1409.7260 [hep-th]
    [50] A. R. Solomon, J. Enander, Y. Akrami, T. S. Koivisto, F. Knnig, and E. Mrtsell, JCAP, 1504: 027 (2015), arXiv: 1409.8300 [astro-ph.CO]
    [51] X. Gao and D. Yoshida, Phys. Rev. D, 92: 044057 (2015), arXiv: 1412.8471 [hep-th]
    [52] D. Comelli, M. Crisostomi, K. Koyama, L. Pilo, and G. Tasinato, JCAP, 1504: 026 (2015), arXiv: 1501.00864 [hep-th]
    [53] A. E. Gumrukcuoglu, L. Heisenberg, S. Mukohyama, and N. Tanahashi, JCAP, 1504: 008 (2015), arXiv: 1501.02790 [hep-th]
    [54] M. Lagos and J. Noller, (2015), arXiv: 1508.05864 [gr-qc]
    [55] L. Heisenberg, JCAP, 1511: 005 (2015), arXiv: 1506.00580 [hep-th]
    [56] L. Heisenberg and A. Refregier, (2016), arXiv: 1604.07306 [gr-qc]
    [57] L. Heisenberg and A. Refregier, (2016), arXiv: 1604.07680 [astro-ph.CO]
    [58] L. Blanchet and L. Heisenberg, Phys. Rev. D, 91: 103518 (2015), arXiv: 1504.00870 [gr-qc]
    [59] L. Blanchet and L. Heisenberg, JCAP, 1512: 026 (2015), arXiv: 1505.05146 [hep-th]
    [60] L. Bernard, L. Blanchet, and L. Heisenberg, in Proceedings, 50th Recontres de Moriond Gravitaion : 100 years after GR (2015) pp. 4352, arXiv: 1507.02802 [gr-qc]
    [61] X. Gao and L. Heisenberg, JCAP, 1603: 043 (2016), arXiv: 1601.02180 [hep-th]
    [62] P. Brax, A.-C. Davis, and J. Noller, (2016), arXiv: 1606.05590 [gr-qc]
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Xian Gao and Lavinia Heisenberg. Doubly coupled matter fields in massive bigravity[J]. Chinese Physics C, 2018, 42(7): 075101. doi: 10.1088/1674-1137/42/7/075101
Xian Gao and Lavinia Heisenberg. Doubly coupled matter fields in massive bigravity[J]. Chinese Physics C, 2018, 42(7): 075101.  doi: 10.1088/1674-1137/42/7/075101 shu
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Received: 2018-04-19
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    Supported by the Chinese National Youth Thousand Talents Program (71000-41180003), JSPS Grant-in-Aid for Scientific Research (15H02082, 25287054, 26610062), L. H. Acknowledges Financial Support from Dr. Max Rssler, the Walter Haefner Foundation and the ETH Zurich Foundation

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Doubly coupled matter fields in massive bigravity

  • 1. School of Physics and Astronomy, Sun Yat-sen University, Guangzhou 510275, China
  • 2. Research Center for the Early Universe(RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan
  • 3. Department of Physics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo 152-8551, Japan
  • 4.  Institute for Theoretical Studies, ETH Zurich, Clausiusstrasse 47, 8092 Zurich, Switzerland
Fund Project:  Supported by the Chinese National Youth Thousand Talents Program (71000-41180003), JSPS Grant-in-Aid for Scientific Research (15H02082, 25287054, 26610062), L. H. Acknowledges Financial Support from Dr. Max Rssler, the Walter Haefner Foundation and the ETH Zurich Foundation

Abstract: In the context of massive (bi-)gravity, non-minimal matter couplings have been proposed. These couplings are special in the sense that they are free of the Boulware-Deser ghost below the strong coupling scale and can be used consistently as an effective field theory. Furthermore, they enrich the phenomenology of massive gravity. We consider these couplings in the framework of bimetric gravity and study the cosmological implications for background and linear tensor, vector, and scalar Previous works have investigated special branches of solutions. Here we perform a complete perturbation analysis for the general background equations of motion, completing previous analyses.

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