The Decoupling of Scalar-Modes from a Linearly Perturbed Dust-Filled Bianchi Type-I Model

doi:10.1088/0256-307X/31/1/010402

Chin. Phys. Lett.

2014, Vol. 31

Issue (1): 010402 DOI: 10.1088/0256-307X/31/1/010402

GENERAL

The Decoupling of Scalar-Modes from a Linearly Perturbed Dust-Filled Bianchi Type-I Model

Bob Osano^**

Cosmology and Gravity Group, Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, 7701, South Africa

Cite this article:

Bob Osano 2014 Chin. Phys. Lett. 31 010402

Download: PDF(399KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract We study linear perturbations about a dust filled Bianchi type-I model with the vorticity set to zero. In comparison to linear perturbations about the Friedmann–Lema?tre–Robertson–Walker models, modes of perturbations about the Bianchi type-I models are coupled. We find that the tensor that represents the background shear needs to be degenerate in order for the scalar-mode perturbations to decouple from the rest of the flow.

Received: 22 August 2013 Published: 28 January 2014

PACS:	04.20.Ex	(Initial value problem, existence and uniqueness of solutions)
	04.20.-q	(Classical general relativity)
	98.80.Jk	(Mathematical and relativistic aspects of cosmology)
	98.80.-k	(Cosmology)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/10.1088/0256-307X/31/1/010402 OR https://cpl.iphy.ac.cn/Y2014/V31/I1/010402

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	Bob Osano

[1] Oliveria-Costa A et al 2004 Phys. Rev. D 69 063515
[2] Schwarz D et al 2004 Phys. Rev. Lett. 93 221301
[3] Vielva P et al 2004 Astrophys. J. 609 22
[4] Ralston J and Jain 2004 Int. J. Mod. Phys. D 13 1857
[5] Eriksen H K et al 2004 Astrophys. J. 605 14
[6] Eriksen H K et al 2004 Astrophys. J. 612 64
[7] Eriksen H K et al 2005 Astrophys. J. 622 58
[8] Hansen F K et al 2004 Mon. Not. R. Astron. Soc. 354 641
[9] Land K and Magueijo J 2005 Mon. Not. R. Astron. Soc. 357 994
[10] Hansen F K et al 2004 Astrophys. J. 607 L67
[11] Ade P A R 2013 Astron. Astrophys.
[12] Bennett C L et al 2003 Astrophys. J. Suppl. Ser. 148 1
[13] Land K and Magueijo J 2005 Phys. Rev. Lett. 95 071301
[14] Lifshitz E M 1946 J. Phys. (USSR) 10 116
[15] Bonnor W B 1957 Mon. Not. R. Astron. Soc. 117 104
[16] Ellis G F R 1971 General Relativity and Cosmology (New York: Academic)
[17] Ellis G F R and van Elst H 1999 NATO Adv. Study Inst. Ser. C: Math. Phys. Sci. 541
[18] Ellis G F R, Bruni M and Hwang J 1990 Phys. Rev. D 42 1035
[19] Ellis G F R and Bruni M 1989 Phys. Rev. D 40 1804
[20] Perko T E, Matzner R A and Shepley L C 1972 Phys. Rev. D 6 969
[21] Tomita K and Mitsue D 1986 Phys. Rev. D 34 3570
[22] Heyrim N and Hwang J 1995 Phys. Rev. D 52 5643
[23] Dunsby P K S 1993 Phys. Rev. D 48 3562
[24] Matarrese S, Pantano O and Saez D 1994 Phys. Rev. Lett. 72 320
[25] Bruni M, Matarrese S and Pantano O 1995 Astrophys. J. 445 958
[26] Maartens R 1997 Phys. Rev. D 55 5219
[27] van Elst H 2013 http://www.maths.qmul.ac.uk/hve/13coveq.pdf
[28] Osano B 2013 (in preparation)

Related articles from Frontiers Journals

[1]	FENG Yue-E, LI Hai-Hong. The Dependence of Chimera States on Initial Conditions[J]. Chin. Phys. Lett., 2015, 32(06): 010402
[2]	ZHANG Shun-Li, LI Ji-Na. Initial-value Problems for Extended KdV--Burgers Equations via Generalized Conditional Symmetries[J]. Chin. Phys. Lett., 2007, 24(6): 010402
[3]	MA Yong-ge, LIANG Can-bin. Degenerate Solution Evolved from Non-degenerate Initial Data in Ashtekar’s Formalism[J]. Chin. Phys. Lett., 1998, 15(7): 010402

Viewed

Full text

Abstract