摘要
The detection of GW170817 and its electromagnetic counterpart has revealed the speed of gravitational waves coincides with the speed of light, cT= 1. Inspired by the possibility that the physics implied by GW170817 might be related with that for the primordial universe, we construct the spatially ?at stable(throughout the whole evolution)nonsingular bounce models in the beyond Horndeski theory with cT= 1 and in the degenerate higher-order scalar-tensor(DHOST) theory with cT= 1, respectively. Though it constricts the space of viable models, the constraint of cT= 1 makes the procedure of building models simpler.
The detection of GW170817 and its electromagnetic counterpart has revealed the speed of gravitational waves coincides with the speed of light, cT= 1. Inspired by the possibility that the physics implied by GW170817 might be related with that for the primordial universe, we construct the spatially ?at stable(throughout the whole evolution)nonsingular bounce models in the beyond Horndeski theory with cT= 1 and in the degenerate higher-order scalar-tensor(DHOST) theory with cT= 1, respectively. Though it constricts the space of viable models, the constraint of cT= 1 makes the procedure of building models simpler.
引文
[1]A.H.Guth,Phys.Rev.D 23(1981)347.
[2]A.A.Starobinsky,Phys.Lett.91B(1980)99.
[3]A.D.Linde,Phys.Lett.108B(1982)389.
[4]A.Albrecht and P.J.Steinhardt,Phys.Rev.Lett.48(1982)1220.
[5]S.W.Hawking and R.Penrose,Proc.R.Soc.A 314(1970)529.
[6]A.Borde,A.H.Guth,and A.Vilenkin,Phys.Rev.Lett.90(2003)151301,[gr-qc/0110012].
[7]J.Khoury,B.A.Ovrut,P.J.Steinhardt,and N.Turok,Phys.Rev.D 64(2001)123522,[hep-th/0103239];Evgeny I.Buchbinder,Justin Khoury,and Burt A.Ovrut,Phys.Rev.D 76(2007)123503;J.L.Lehners,P.McFadden,N.Turok,and P.J.Steinhardt,Phys.Rev.D 76(2007)103501,[hep-th/0702153[HEP-TH]].
[8]Y.S.Piao,B.Feng,and X.m.Zhang,Phys.Rev.D69(2004)103520,[hep-th/0310206];Y.S.Piao,S.Tsujikawa,and X.m.Zhang,Class.Quantum Grav.21(2004)4455,[hep-th/0312139];Y.S.Piao,Phys.Rev.D71(2005)087301,[astro-ph/0502343].
[9]P.Creminelli,M.A.Luty,A.Nicolis and L.Senatore,J.High Energy Phys.0612(2006)080,[hep-th/0606090].
[10]V.A.Rubakov,Phys.Usp.57(2014)128,[arXiv:1401.4024[hep-th]].
[11]Y.F.Cai,Sci.China Phys.Mech.Astron.57(2014)1414,[arXiv:1405.1369[hep-th]].
[12]D.Battefeld and P.Peter,Phys.Rept.571(2015)1,[arXiv:1406.2790[astro-ph.CO]].
[13]G.W.Horndeski,Int.J.Theor.Phys.10(1974)363,C.Deffayet,X.Gao,D.A.Steer,and G.Zahariade,Phys.Rev.D 84(2011)064039,[arXiv:1103.3260[hepth]];T.Kobayashi,M.Yamaguchi,and J.Yokoyama,Prog.Theor.Phys.126(2011)511,[arXiv:1105.5723[hep-th]].
[14]M.Libanov,S.Mironov,and V.Rubakov,J.Cosmol.Astropart.Phys.1608(2016)037,[arXiv:1605.05992[hepth]].
[15]T.Kobayashi,Phys.Rev.D 94(2016)043511,[arXiv:1606.05831[hep-th]].
[16]A.Ijjas and P.J.Steinhardt,Phys.Rev.Lett.117(2016)121304,[arXiv:1606.08880[gr-qc]].
[17]Anna Ijjas and Paul J.Steinhardt,Phys.Lett.B 764(2017)289,[arXiv:1609.01253[gr-qc]].
[18]D.A.Dobre,A.V.Frolov,J.T.G.Ghersi,et al.,J.Cosmol.Astropart.Phys.1803(2018)020,[arXiv:1712.10272[gr-qc]].
[19]Y.Cai,Y.Wan,H.G.Li,et al.,J.High Energy Phys.1701(2017)090,[arXiv:1610.03400[gr-qc]];Y.Cai,H.G.Li,T.Qiu,and Y.S.Piao,Eur.Phys.J.C 77(2017)369[arXiv:1701.04330[gr-qc]].
[20]P.Creminelli,D.Pirtskhalava,L.Santoni,and E.Trincherini,J.Cosmol.Astropart.Phys.1611(2016)047[arXiv:1610.04207[hep-th]].
[21]Y.Cai and Y.S.Piao,J.High Energy Phys.1709(2017)027,[arXiv:1705.03401[gr-qc]].
[22]R.Kolevatov,S.Mironov,N.Sukhov,and V.Volkova,J.Cosmol.Astropart.Phys.1708(2017)038,[arXiv:1705.06626[hep-th]].
[23]S.Mironov,V.Rubakov,and V.Volkova,J.Cosmol.Astropart.Phys.1810(2018)050,[arXiv:1807.08361[hepth]].
[24]J.Gleyzes,D.Langlois,F.Piazza,and F.Vernizzi,Phys.Rev.Lett.114(2015)211101,[arXiv:1404.6495[hep-th]].
[25]R.Kolevatov and S.Mironov,Phys.Rev.D 94(2016)123516,[arXiv:1607.04099[hep-th]].
[26]S.Akama and T.Kobayashi,Phys.Rev.D 95(2017)064011,[arXiv:1701.02926[hep-th]];S.Akama and T.Kobayashi,arXiv:1810.01863[gr-qc].
[27]Y.Misonoh,M.Fukushima,and S.Miyashita,Phys.Rev.D 95(2017)044044,[arXiv:1612.09077[gr-qc]];M.Fukushima,Y.Misonoh,S.Miyashita,and S.Sato,arXiv:1812.10295[gr-qc].
[28]C.de Rham and S.Melville,Phys.Rev.D 95(2017)123523,[arXiv:1703.00025[hep-th]].
[29]D.Yoshida,J.Quintin,M.Yamaguchi,and R.H.Brandenberger,Phys.Rev.D 96(2017)043502,[arXiv:1704.04184[hep-th]].
[30]L.Santoni,E.Trincherini,and L.G.Trombetta,J.High Energy Phys.1808(2018)118,[arXiv:1806.10073[hepth]].
[31]S.S.Boruah,H.J.Kim,M.Rouben,and G.Geshnizjani,J.Cosmol.Astropart.Phys.1808(2018)031,[arXiv:1802.06818[gr-qc]].
[32]S.Banerjee,Y.F.Cai,and E.N.Saridakis,arXiv:1808.01170[gr-qc].
[33]H.Motohashi and T.Suyama,Phys.Rev.D 91(2015)085009,doi:10.1103/PhysRevD.91.085009[arXiv:1411.3721[physics.class-ph]].
[34]D.Langlois and K.Noui,J.Cosmol.Astropart.Phys.1602(2016)034,[arXiv:1510.06930[gr-qc]].
[35]D.Langlois,M.Mancarella,K.Noui,and F.Vernizzi,J.Cosmol.Astropart.Phys.1705(2017)033,[arXiv:1703.03797[hep-th]].
[36]D.Langlois,arXiv:1811.06271[gr-qc];H.Motohashi,K.Noui,T.Suyama,et al.,J.Cosmol.Astropart.Phys.1607(2016)033,doi:10.1088/1475-7516/2016/07/033[arXiv:1603.09355[hep-th]].
[37]Virgo,LIGO Scientific Collaboration,B.P.Abbott,et al.,Phys.Rev.Lett.119(2017),161101[arXiv:1710.05832[gr-qc]].
[38]Paolo Creminelli and Filippo Vernizzi,Phys.Rev.Lett.119(2017)251302,[arXiv:1710.05877[astro-ph.CO]].
[39]J.Sakstein and B.Jain,Phys.Rev.Lett.119(2017)251303,doi:10.1103/PhysRevLett.119.251303[arXiv:1710.05893[astro-ph.CO]].
[40]Jose Maria Ezquiaga,Miguel Zumalacarregui,Phys.Rev.Lett.119(2017)251304,[arXiv:1710.05901[astro-ph.CO]]
[41]T.Baker,E.Bellini,P.G.Ferreira,et al.,Phys.Rev.Lett.119(2017)251301,[arXiv:1710.06394[astro-ph.CO]].
[42]S.Boran,S.Desai,E.O.Kahya,and R.P.Woodard,Phys.Rev.D 97(2018)041501,doi:10.1103/Phys RevD.97.041501[arXiv:1710.06168[astro-ph.HE]].
[43]D.Langlois,R.Saito,D.Yamauchi,and K.Noui,Phys.Rev.D 97(2018)061501,[arXiv:1711.07403[gr-qc]].
[44]A.Ijjas,J.Cosmol.Astropart.Phys.1802(2018)007,[arXiv:1710.05990[gr-qc]].
[45]T.Qiu,J.Evslin,Y.F.Cai,et al.,J.Cosmol.Astropart.Phys.1110(2011)036,[arXiv:1108.0593[hep-th]].
[46]D.A.Easson,I.Sawicki,and A.Vikman,J.Cosmol.Astropart.Phys.1111(2011)021,[arXiv:1109.1047[hepth]].
[47]Y.F.Cai,D.A.Easson.and R.Brandenberger,J.Cosmol.Astropart.Phys.1208(2012)020,[arXiv:1206.2382[hep-th]].
[48]T.Qiu,X.Gao,and E.N.Saridakis,Phys.Rev.D 88(2013)043525,[arXiv:1303.2372[astro-ph.CO]].
[49]M.Koehn,J.L.Lehners,and B.A.Ovrut,Phys.Rev.D90(2014)025005,[arXiv:1310.7577[hep-th]];L.Battarra,M.Koehn,J.L.Lehners,and B.A.Ovrut,J.Cosmol.Astropart.Phys.1407(2014)007,[arXiv:1404.5067[hepth]].
[50]Z.G.Liu,Z.K.Guo,and Y.S.Piao,Phys.Rev.D 88(2013)063539,[arXiv:1304.6527[astro-ph.CO]].
[51]Z.G.Liu,Z.K.Guo,and Y.S.Piao,Eur.Phys.J.C 74(2014)3006,[arXiv:1311.1599[astro-ph.CO]].
[52]T.Qiu and Y.T.Wang,J.High Energy Phys.1504(2015)130,[arXiv:1501.03568[astro-ph.CO]];Y.Wan,T.Qiu,F.P.Huang,et al.,J.Cosmol.Astropart.Phys.1512(2015)019,[arXiv:1509.08772[gr-qc]];T.Qiu,K.Tian,and S.Bu,arXiv:1810.04436[gr-qc].
[53]S.D.Odintsov and V.K.Oikonomou,Phys.Rev.D 92(2015)024016,[arXiv:1504.06866[gr-qc]];S.D.Odintsov and V.K.Oikonomou,Int.J.Mod.Phys.D 26(2017)1750085,[arXiv:1512.04787[gr-qc]];J.De Haro,S.D.Odintsov,and V.K.Oikonomou,Phys.Rev.D 97(2018)084052,[arXiv:1802.09024[gr-qc]].
[54]J.Mathew,arXiv:1811.06001[astro-ph.CO].
[55]Y.Cai,Y.T.Wang,J.Y.Zhao,and Y.S.Piao,Phys.Rev.D 97(2018)103535,[arXiv:1709.07464[astro-ph.CO]].