Chin. Phys. Lett.  2012, Vol. 29 Issue (1): 010403    DOI: 10.1088/0256-307X/29/1/010403
GENERAL |
LRS Bianchi Type-II Cosmological Model with a Decaying Lambda Term
R. K. Tiwari**, D. Tiwari, Pratibha Shukla
Department of Mathematics, Govt. Model Science College Rewa, M. P. 486001, India
Cite this article:   
R. K. Tiwari, D. Tiwari, Pratibha Shukla 2012 Chin. Phys. Lett. 29 010403
Download: PDF(431KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract We consider a locally rotationally symmetric (LRS) Bianchi type-II spacetime with a perfect fluid and a variable cosmological constant Λ. To solve the Einstein field equations we consider the cosmological term Λ to be proportional to R−m with R being the scale factor and m a constant [Phys. Rev. D 58 (1998) 043506]. In this model we obtain Λ∼H2, Λ∼R"/R and Lambda ∼t−2, in agreement with the main dynamical laws for the decay of Λ. The physical significance of the cosmological model is also discussed.
Keywords: 04.20.Jb      04.20-q      98.80.Cq     
Received: 14 July 2011      Published: 07 February 2012
PACS:  04.20.Jb (Exact solutions)  
  04.20-q  
  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/29/1/010403       OR      https://cpl.iphy.ac.cn/Y2012/V29/I1/010403
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
R. K. Tiwari
D. Tiwari
Pratibha Shukla
[1]  Bertolami O Fortschritte der 1986 Physik 34 829 
[2]  Ozer M and Taha O 1986 Phys. Lett. B 171 363 
[3]  Freese K et al 1987 Physica B 287 797 
[4]  Chen W and Wu Y S 1990 Phys. Rev. D 41 695 
[5]  Carvalho J C and Lima J A S 1992 Phys. Rev. D 46 2404 
[6]  Arbab A I 1994 Gen. Rel. Gravit. 29 61 
[7]  Beesham A 1994 Gen. Rel. Gravit. 26 159 
[8]  Vishwakarma R G 2000 Class. Quantum Gravit. 17 3833 
[9]  Borges H A and Carneiro S 2005 Gen. Rel. Gravit. 37 1985 
[10]  Gasperini M 1988 Class. Quantum Gravit. 5 521 
[11]  Gasperini M 1987 Phys. Lett. B 194 347 
[12]  Berman M S 1990 Int. J. Theor. Phys. 29 567 
[13]  Ozer M and Taha M O 1987 Physica B 284 776 
[14]  Peebles P J E and Ratra B 1988 Astron. Astrophys. 325 217 
[15]  Abdussattar and Vishwakarma R G 1996 Physica 47 41 
[16]  Garid J and LeDenmat G 1999 Class Quantum Gravit. 16 149 
[17]  Pradhan A and Kumar A 2001 Int. J. Mod. Phys. D 10 291 
[18]  Abdel Rahman A 1990 Gen. Rel. Gravit. 22 655 
[19]  Waga I 1993 Astrophys. J. 414 436 
[20]  Silveira V and Waga I 1994 Phys. Rev. D 50 4890 
[21]  Rawaf A S T 1996 Gen. Rel. Gravit. 28 935 
[22]  Overduin J M and Cooperstock F I 1998 Phys. Rev. D 58 043506 
[23]  Asseo E and Sol H 1987 Phys. Rep. 148 307 
[24]  Lorenz D 1980 Phys. Lett. A 79 19 
[25]  Boutros H J 1986 J. Math. Phys. 27 1592 
[26]  Boutros H J 1989 Commun. Theor. Phys. 28 487 
[27]  Chakraborty S 1991 Astorophys. Space Sci. 180 293 
[28]  Shanthi K and Rao V V M 1991 Astrophys. Space Sci. 179 147 
[29]  Venkateswarlu A and Reddy D R K 1991 Astrophys. Space Sci. 182 97 
[30]  Coley A A and Wainwright J 1991 Class Quantum Gravit. 9 651 
[31]  Singh CP and Kumar S 2006 Int. J. Mod. Phys. D 15 419 
[32]  Singh C P and Kumar S 2007 Pramana J. Phys. 68 5 707 
[33]  Pradhan A, Shrivastava D and Khadekar G S 2008 Romanian Rep. Phys. 60 312 
[34]  Tiwari R K and Jha N K 2009 Chin. Phys. Lett. 26 109804 
[35]  Tiwari R K and Dwivedi U K 2010 Fizika B 19 1 
[36]  Tiwari R K, Rahman F and Ray S 2010 Int. J. Theor. Phys. 49 10 
[37]  Tiwari R K 2008 Astorophys. Space Sci. 318 243 
[38]  Tiwari R K 2009 Astorophys. Space Sci. 321 447 
[39]  Tiwari R K 2010 Res. Astrophys. Astron. 10 4 
[40]  Kantowski R and Sachs R K 1966 J. Math. Phys. 7 443 
[41]  Collins C B, Glass E N and Wikison D A 1990 Gen. Rel. Gravit. 12 18 805 
[42]  Singh J P, Narain S 1985 Astrophys. Space Sci. R. London 111 389 
[43]  Pradhan A and Singh S K 2004 Mod. Phys. D 13 803 
[44]  Pradhan A, Srivastav S K and Yadav M K 2005 Astrophys. Space Sci. 298 503 
[45]  Salim L M and Waga I 1993 Class Quantum Gravit. 10 1767 
[46]  Berman M S and Som M M 1990 Int. J. Theor. Phys. 29 1411 
[47]  Knop R A et al 2003 Astrophys. J. 598 102 
[48]  Riess A G et al 2004 Astrophys. J. 607 665 
[49]  Riess A G et al 1998 Astrophys. J. 116 1009 
[50]  Spergel D N et al 2007 Astrophys. J. 170 377 
[51]  Perlmutter S et al 1998 Nature 391 51 
[52]  Kalligas D, Wesson P and Everitt C W F 1992 Gen. Rel. Gravit. 24 351 
Related articles from Frontiers Journals
[1] CAO Ce-Wen**,ZHANG Guang-Yao. Lax Pairs for Discrete Integrable Equations via Darboux Transformations[J]. Chin. Phys. Lett., 2012, 29(5): 010403
[2] José Antonio Belinchón*. Scale-Covariant Theory of Gravitation Through Self-Similarity[J]. Chin. Phys. Lett., 2012, 29(5): 010403
[3] 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): 010403
[4] 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): 010403
[5] 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): 010403
[6] 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): 010403
[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): 010403
[8] 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): 010403
[9] R. K. Tiwari, Sonia Sharma** . Non Existence of Shear in Bianchi Type-III String Cosmological Models with Bulk Viscosity and Time−Dependent Λ Term[J]. Chin. Phys. Lett., 2011, 28(2): 010403
[10] HUANG Zeng-Guang**, FANG Wei, LU Hui-Qing, ** . Inflation and Singularity in Einstein–Cartan Theory[J]. Chin. Phys. Lett., 2011, 28(2): 010403
[11] Abdussattar**, S. R. Prajapati** . Friedman–Robertson–Walker Models with Late-Time Acceleration[J]. Chin. Phys. Lett., 2011, 28(2): 010403
[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): 010403
[13] 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): 010403
[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): 010403
[15] Koijam Manihar Singh*, Kangujam Priyokumar Singh** . Cosmic String Universes Embedded with Viscosity[J]. Chin. Phys. Lett., 2011, 28(10): 010403
Viewed
Full text


Abstract