Chin. Phys. Lett.  2011, Vol. 28 Issue (2): 020401    DOI: 10.1088/0256-307X/28/2/020401
GENERAL |
Non Existence of Shear in Bianchi Type-III String Cosmological Models with Bulk Viscosity and Time−Dependent Λ Term
R. K. Tiwari1, Sonia Sharma2**
1Department of Mathematics, Govt. Model Science College, Rewa (MP), India
2Department of Mathematics, Rayat Polytechnic College, Ropar (Punjab), India
Cite this article:   
R. K. Tiwari, Sonia Sharma 2011 Chin. Phys. Lett. 28 020401
Download: PDF(398KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract We study the non existence of shear in locally rotationally symmetric Bianchi type-III string cosmological models with bulk viscosity and variable cosmological term Λ. Exact solutions of the field equations are obtained by assuming the conditions: the bulk viscosity is proportional to the expansion scalar, ξ∝θ, expansion scalar is proportional to shear scalar, θ∝σ, and Λ is proportional to the Hubble parameter. The coefficient of bulk viscosity is assumed to be a power function of mass density. The corresponding physical interpretations of the cosmological solutions are also discussed.
Keywords: 04.20.Jb      98.80.Cq     
Received: 26 October 2010      Published: 30 January 2011
PACS:  04.20.Jb (Exact solutions)  
  98.80.Cq (Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/28/2/020401       OR      https://cpl.iphy.ac.cn/Y2011/V28/I2/020401
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
R. K. Tiwari
Sonia Sharma
[1] Ng Y J 1992 Int. J. Mod. Phys. D 1 145
[2] Weinberg S 1989 Rev. Mod. Phys. 61 1
[3] Zeldovich Ya B 1968 Sov. Phys. Usp. 11 381
[4] Linde A D 1974 ZETP. Lett. 19 183
[5] Krauss L M and Turner M S 1995 Gen. Rel. Grav. 27 1137
[6] Reiss A G et al 2004 ApJ 607 665
[7] Vilenkin A 1985 Phys. Rep. 121 263
[8] Zeldovich Ya B 1980 Mon. Nat. R. Astron. Soc. 192 663
[9] Letelier P S 1983 Phys. Rev. D 28 2414
[10] Stachel J 1980 Phys. Rev. D 21 2171
[11] Krori K D, Goswami A K and Purkayastha A D 1995 J. Math. Phys. 36 1347
[12] Wang X X 2003 Chin. Phys. Lett. 20 615
[13] Wang X X 2004 Chin. Phys. Lett. 21 1205
[14] Wang X X 2005 Chin. Phys. Lett. 22 29
[15] Wang X X 2006 Chin. Phys. Lett. 23 1702
[16] Tikekar R and Patel L K 1992 Gen. Relativ. Gravit. 24 394
[17] Chakraborty N C and Chakraborty S 2001 Int. J. Mod. Phys. D 10 723
[18] Singh J P, Tiwari R K and Pratibha S 2007 Chin. Phys. Lett. 24 3325
[19] Schutzhold R 2002 Phys. Rev. Lett. 89 081302
[20] Schutzhold R 2002 Int. J. of Mod. Phy. A 17 4359
[21] Beesham A et al 2000 Gen. Relat. Gravit. 32 471
[22] Mac Callum M A H 1971 Commun. Math. Phys. 20 57
[23] Tiwari R K and Dwivedi U K 2009 Fizika (Zagreb) B 18 3
[24] Bali R and Pradhan A 2007 Chin. Phys. Lett. 24 585
[25] Arbab A I 1997 Gen. Relat. Gravit. 29 61
Related articles from Frontiers Journals
[1] Gamal G. L. Nashed*. Spherically Symmetric Solutions on a Non-Trivial Frame in f(T) Theories of Gravity[J]. Chin. Phys. Lett., 2012, 29(5): 020401
[2] José Antonio Belinchón*. Scale-Covariant Theory of Gravitation Through Self-Similarity[J]. Chin. Phys. Lett., 2012, 29(5): 020401
[3] CAO Ce-Wen**,ZHANG Guang-Yao. Lax Pairs for Discrete Integrable Equations via Darboux Transformations[J]. Chin. Phys. Lett., 2012, 29(5): 020401
[4] R. K. Tiwari**, D. Tiwari, Pratibha Shukla. LRS Bianchi Type-II Cosmological Model with a Decaying Lambda Term[J]. Chin. Phys. Lett., 2012, 29(1): 020401
[5] R. K. Tiwari*, S. Sharma** . Bianchi Type-I String Cosmological Model with Bulk Viscosity and Time-Dependent Λ term[J]. Chin. Phys. Lett., 2011, 28(9): 020401
[6] HUANG Zeng-Guang**, FANG Wei, , LU Hui-Qing, . Inflation and Singularity of a Bianchi Type-VII0 Universe with a Dirac Field in the Einstein–Cartan Theory[J]. Chin. Phys. Lett., 2011, 28(8): 020401
[7] N. P. Gaikwad**, M. S. Borkar, S. S. Charjan . Bianchi Type-I Massive String Magnetized Barotropic Perfect Fluid Cosmological Model in the Bimetric Theory of Gravitation[J]. Chin. Phys. Lett., 2011, 28(8): 020401
[8] Atul Tyagi*, Keerti Sharma . Locally Rotationally Symmetric Bianchi Type-II Magnetized String Cosmological Model with Bulk Viscous Fluid in General Relativity[J]. Chin. Phys. Lett., 2011, 28(8): 020401
[9] Department of Physics, Eastern Mediterranean University, G. Magosa, N. Cyprus, Mersin 0, Turkey
. Chaos in Kundt Type-III Spacetimes[J]. Chin. Phys. Lett., 2011, 28(7): 020401
[10] XIN Xiang-Peng, LIU Xi-Qiang, ZHANG Lin-Lin . Symmetry Reduction, Exact Solutions and Conservation Laws of the Modified Kadomtzev–Patvishvili-II Equation[J]. Chin. Phys. Lett., 2011, 28(2): 020401
[11] Abdussattar**, S. R. Prajapati** . Friedman–Robertson–Walker Models with Late-Time Acceleration[J]. Chin. Phys. Lett., 2011, 28(2): 020401
[12] CHEN Ju-Hua, **, ZHOU Sheng, WANG Yong-Jiu, . Evolution of Interacting Viscous Dark Energy Model in Einstein Cosmology[J]. Chin. Phys. Lett., 2011, 28(2): 020401
[13] HUANG Zeng-Guang**, FANG Wei, LU Hui-Qing, ** . Inflation and Singularity in Einstein–Cartan Theory[J]. Chin. Phys. Lett., 2011, 28(2): 020401
[14] WANG Hua-Wen, CHENG Hong-Bo* . Virial Relation for Compact Q-Balls in the Complex Signum-Gordon Model[J]. Chin. Phys. Lett., 2011, 28(12): 020401
[15] Koijam Manihar Singh*, Kangujam Priyokumar Singh** . Cosmic String Universes Embedded with Viscosity[J]. Chin. Phys. Lett., 2011, 28(10): 020401
Viewed
Full text


Abstract