Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe

Yunlong Zheng; Yicen Mou; Haomin Rao; Mingzhe Li

doi:10.1088/1674-1137/42/3/035102

Chinese Physics C> 2018, Vol. 42> Issue(3) : 035102 DOI: 10.1088/1674-1137/42/3/035102

Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe

Yunlong Zheng ^1,2 ,
Yicen Mou ³ ,
Haomin Rao ³ ,
Mingzhe Li ^3,,

1.
Department of Physics, Nanjing University, Nanjing 210093, China
2.
Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China
3.
Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei 230026, China

Abstract
HTML
Reference
Related

PDF

Abstract：
In recent years there has been a lot of interest in discussing frame dependences/independences of the cosmological perturbations under the conformal transformations. This problem has previously been investigated in terms of the covariant approach for a single component universe, and it was found that the covariant approach is very powerful to pick out the perturbative variables which are both gauge and conformal invariant. In this work, we extend the covariant approach to a universe with multicomponent fluids. We find that similar results can be derived, as expected. In addition, some other interesting perturbations are also identified to be conformal invariant, such as entropy perturbation between two different components.
- cosmological perturbations ,
- conformal transformation ,
- covariant approach

References

[1]	J. M. Bardeen, Phys. Rev. D, 22:1882(1980)
[2]	H. Kodama and M. Sasaki, Prog. Theor. Phys. Suppl., 78:1(1984)
[3]	V. F. Mukhanov, H. A. Feldman, and R. H. Brandenberger, Phys. Rept., 215:203(1992)
[4]	C. P. Ma and E. Bertschinger, Astrophys. J., 455:7(1995)[astro-ph/9506072].
[5]	G. F. R. Ellis and M. Bruni, Phys. Rev. D, 40:1804(1989)
[6]	G. F. R. Ellis, J. Hwang, and M. Bruni, Phys. Rev. D, 40:1819(1989)
[7]	M. Bruni, P. K. S. Dunsby, and G. F. R. Ellis, Astrophys. J., 395:34(1992)
[8]	P. K. S. Dunsby, M. Bruni, and G. F. R. Ellis, Astrophys. J., 395:54(1992)
[9]	Ehlers, J. (1961). Abh. Mainz Akad. Wiss. u. Litt. Math. Nat. kl, 11
[10]	S. W. Hawking, Astrophys. J., 145:544(1966)
[11]	G. F. R. Ellis, Gen. Rel. Grav., 41:581(2009)[Proc. Int. Sch. Phys. Fermi, 47:104(1971)]
[12]	J. M. Stewart and M. Walker, Proc. Roy. Soc. Lond. A, 341:49(1974)
[13]	A. Challinor and A. Lasenby, Astrophys. J., 513:1(1999)[astro-ph/9804301]
[14]	W. Hu, astro-ph/0402060
[15]	S. D. P. Vitenti, F. T. Falciano, and N. Pinto-Neto, Phys. Rev. D, 89(10):103538(2014)[arXiv:1311.6730[astro-ph.CO]]
[16]	B. Osano, C. Pitrou, P. Dunsby, J. P. Uzan, and C. Clarkson, JCAP, 0704:003(2007)[gr-qc/0612108]
[17]	C. Brans and R. H. Dicke, Phys. Rev., 124:925(1961)
[18]	T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys., 82:451(2010)[arXiv:0805.1726[gr-qc]]
[19]	S. Nojiri, S. D. Odintsov, and V. K. Oikonomou, Phys. Rept., 692:1(2017)[arXiv:1705.11098[gr-qc]]
[20]	A. Nicolis, R. Rattazzi, and E. Trincherini, Phys. Rev. D, 79:064036(2009)[arXiv:0811.2197[hep-th]]
[21]	C. Deffayet, G. Esposito-Farese, and A. Vikman, Phys. Rev. D, 79:084003(2009)[arXiv:0901.1314[hep-th]]
[22]	C. Deffayet, X. Gao, D. A. Steer, and G. Zahariade, Phys. Rev. D, 84:064039(2011)[arXiv:1103.3260[hep-th]]
[23]	R. Catena, M. Pietroni, and L. Scarabello, Phys. Rev. D, 76:084039(2007)[astro-ph/0604492]
[24]	T. Chiba and M. Yamaguchi, JCAP, 1310:040(2013)[arXiv:1308.1142[gr-qc]]
[25]	J. -O. Gong, J. -c. Hwang, W. -I. Park, M. Sasaki, and Y. -S. Song, JCAP, 1109:023(2011)[arXiv:1107.1840[gr-qc]]
[26]	T. Chiba and M. Yamaguchi, JCAP 0810 (2008) 021[arXiv:0807.4965[astro-ph]].
[27]	T. Prokopec and J. Weenink, JCAP, 1309:027(2013)[arXiv:1304.6737[gr-qc]]
[28]	T. Kubota, N. Misumi, W. Naylor, and N. Okuda, JCAP, 1202:034(2012)[arXiv:1112.5233[gr-qc]]
[29]	J. M. Bardeen, P. J. Steinhardt, and M. S. Turner, Phys. Rev. D, 28:679(1983)
[30]	F. L. Bezrukov and M. Shaposhnikov, Phys. Lett. B, 659:703(2008)[arXiv:0710.3755[hep-th]]
[31]	M. Li, Phys. Lett. B, 736:488(2014)[arXiv:1405.0211[hep-th]]
[32]	Y. S. Piao, arXiv:1109.4266; arXiv:1112.3737
[33]	T. Qiu, JCAP, 1206:041(2012)[arXiv:1204.0189[hep-ph]]
[34]	G. Domnech and M. Sasaki, JCAP, 1504(04):022(2015)[arXiv:1501.07699[gr-qc]]
[35]	M. Postma and M. Volponi, Phys. Rev. D, 90(10):103516(2014)[arXiv:1407.6874[astro-ph.CO]]
[36]	L. Jrv, P. Kuusk, M. Saal, and O. Vilson, Phys. Rev. D, 91(2):024041(2015)[arXiv:1411.1947[gr-qc]]
[37]	G. Domnech and M. Sasaki, Int. J. Mod. Phys. D, 25(13):1645006(2016)[arXiv:1602.06332[gr-qc]]
[38]	Y. Cai and Y. S. Piao, JHEP, 1603:134(2016)[arXiv:1601.07031[hep-th]]
[39]	C. Wetterich, JCAP, 1605:041(2016)[arXiv:1511.03530[gr-qc]]
[40]	M. Li, Int. J. Mod. Phys. D, 26(01):1740005(2016) doi:10.1142/S0218271817400053
[41]	Y. Cai, Y. T. Wang, and Y. S. Piao, Phys. Rev. D, 93(6):063005(2016)[arXiv:1510.08716[astro-ph.CO]]
[42]	S. Bahamonde, S. D. Odintsov, V. K. Oikonomou, and P. V. Tretyakov, Phys. Lett. B, 766:225(2017)[arXiv:1701. 02381[gr-qc]]
[43]	S. Bahamonde, S. D. Odintsov, V. K. Oikonomou, and M. Wright, Annals Phys., 373:96(2016)[arXiv:1603.05113[gr-qc]]
[44]	M. Li and Y. Mou, JCAP, 1510(10):037(2015)[arXiv:1505.04074[gr-qc]]
[45]	D. Langlois and F. Vernizzi, Phys. Rev. Lett., 95:091303(2005)[astro-ph/0503416]
[46]	D. Langlois and F. Vernizzi, Phys. Rev. D, 72:103501(2005)[astro-ph/0509078]
[47]	C. Gordon, D. Wands, B. A. Bassett, and R. Maartens, Phys. Rev. D, 63:023506(2001)[astro-ph/0009131]
[48]	M. Li, Phys. Lett. B, 724:192(2013)[arXiv:1306.0191[hep-th]]
[49]	T. Qiu and J. Q. Xia, Phys. Lett. B, 744:273(2015)[arXiv:1406.5902[astro-ph.CO]]

[1]	Zhe Chang , Sai Wang , Qing-Hua Zhu . Note on gauge invariance of second order cosmological perturbations. Chinese Physics C, 2021, 45(9): 095101. doi: 10.1088/1674-1137/ac0c74
[2]	Jing-Bo Wang , Chao-Guang Huang . Conformal field theory on the horizon of a BTZ black hole. Chinese Physics C, 2018, 42(12): 123110. doi: 10.1088/1674-1137/42/12/123110
[3]	Taejin Lee . Covariant open string field theory on multiple Dp-branes. Chinese Physics C, 2018, 42(11): 113105. doi: 10.1088/1674-1137/42/11/113105
[4]	Liuyuan Shen , Yicen Mou , Yunlong Zheng , Mingzhe Li . Direct couplings of mimetic dark matter and their cosmological effects. Chinese Physics C, 2018, 42(1): 015101. doi: 10.1088/1674-1137/42/1/015101
[5]	. Erratum and Addendum: A unified model with a generalized gauge symmetry and its cosmological implications. Chinese Physics C, 2017, 41(12): 129101.
[6]	Li-Sheng Geng , Raquel Molina , Eulogio Oset . On the chiral covariant approach to ρρ scattering. Chinese Physics C, 2017, 41(12): 124101. doi: 10.1088/1674-1137/41/12/124101
[7]	Fa-Peng Huang , Yifu Cai , Hong Li , Xinmin Zhang . A possible interpretation of the Higgs mass by the cosmological attractive relaxion. Chinese Physics C, 2016, 40(11): 113103. doi: 10.1088/1674-1137/40/11/113103
[8]	Mohsen Fathi , Morteza Mohseni . Evolving Horava cosmological horizons. Chinese Physics C, 2016, 40(9): 095101. doi: 10.1088/1674-1137/40/9/095101
[9]	Jong-Ping Hsu , Kazuo O. Cottrell . A unified model with a generalized gauge symmetry and its cosmological implications. Chinese Physics C, 2015, 39(10): 105101. doi: 10.1088/1674-1137/39/10/105101
[10]	HAN Lei , WANG Hai-Jun . New method of applying conformal group to quantum fields. Chinese Physics C, 2015, 39(9): 093102. doi: 10.1088/1674-1137/39/9/093102
[11]	WANG Xiang-Qi , LUO Huan-Li , HAO Hao , TANG Jing-Yu , LI Wei-Min , XU Hong-Liang . Design of proton beam optics to realize beam distribution transformation in C-ADS HTBT. Chinese Physics C, 2013, 37(2): 027004. doi: 10.1088/1674-1137/37/2/027004
[12]	LIU Lang , ZHAO Peng-Wei . α-cluster structure of ¹²C and ¹⁶O in the covariant density functional theory with a shell-model-like approach. Chinese Physics C, 2012, 36(9): 818-822. doi: 10.1088/1674-1137/36/9/004
[13]	SUN Zhi-Rui , PENG Jun , FU Shi-Nian . Matrix method for the solution of RF field perturbations due to local frequency shifts. Chinese Physics C, 2009, 33(9): 798-803. doi: 10.1088/1674-1137/33/9/018
[14]	Yang Kongqing , Luo Yan . Conformal Transformation and Symplectic Structure of Self-Dual Fields. Chinese Physics C, 1996, 20(9): 789-793.
[15]	Yu Qingchang . Transformation Groups in Beam Optics (Part 2): Beam Optical Elements and Systems. Chinese Physics C, 1993, 17(S4): 329-333.
[16]	Hao Sanru . A New Symmetric Transformation of the Static Axially Symmetric SDYM Fields. Chinese Physics C, 1993, 17(S2): 111-116.
[17]	Yu Qingchang . Transformation Groups in Beam Optics (I): General Theory. Chinese Physics C, 1993, 17(S3): 231-237.
[18]	Mao Naifeng , Li Zenghai . Spline Function Representation For Transformation of Beam Phase Space With Arbitrary Contours. Chinese Physics C, 1989, 13(S2): 149-156.
[19]	HAO San-Ru , LI Wei . SYMMETRIES OF CONFORMAL TRANSFORMATION FOR SPECTRAL PARAMETER. Chinese Physics C, 1989, 13(2): 120-127.
[20]	Chen Wei . Alternative Regularization Scheme and Conformal Anomaly Strings. Chinese Physics C, 1988, 12(S4): 379-386.

Access

Get Citation

Yunlong Zheng, Yicen Mou, Haomin Rao and Mingzhe Li. Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe[J]. Chinese Physics C, 2018, 42(3): 035102. doi: 10.1088/1674-1137/42/3/035102

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-12-19

Fund

Supported by NSFC (11422543, 11653002)

Article Metric

Article Views(1543)
PDF Downloads(13)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe

Corresponding author: Mingzhe Li,

HTML

目录