Open Access
Research Article
Dynamics Of Frw Type Kaluza-Klein Mhrde Cosmological Model In Self-Creation Theory
*T. VinuthaCorresponding authorvinuthatummala@gmail.comDepartment of Applied MathematicsAndhra UniversityVisakhapatnam, 530003, IndiaView full profile → , K. Sri KavyaDepartment of Applied MathematicsAndhra UniversityVisakhapatnam, 530003, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 21 Oct 2019
- Accepted:
- 20 Feb 2020
- Published Online:
- 29 Jul 2020
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- 1726037X.2020.1774158
- Pages:
- 111–129
Abstract
In this work, we have studied Friedmann–Robertson–Walker type Kaluza–Klein universe filled with pressureless matter and modified holographic Ricci dark energy in the frame work of Barber’s self-creation theory. While solving field equations we have considered hybrid expansion law of average scale factor. Also we have studied differences between open, flat and closed models. We have calculated some physical properties such as deceleration parameter(q), EoS parameter(ω), spatial volume(V ), expansion scalar(θ). The physical and geometrical aspects of the statefinder parameters(r, s) and ω − ω′undefined plane are also discussed. In ωde− ω′undefined plane discussion we have observed that the flat model lies in freezing region and the closed model lies in thawing region. Also we have observed that for flat model ω crosses the phantom divide line( i.e. ω = -1) and shows quintom like behavior. Among the three models the flat model is in good agreement with recent observational data.
Keywords
Subject Classifications
54H20
References
- P. A. R.Ade, , Planck 2015 results XIII. Cosmological parameters , Astron. Astrophys . , A13 ( 2016 )
- Y.Aditya, and D. R. K.Reddy, FRWtype Kaluza–Klein modified holographic Ricci dark energy models in Brans–Dicke theory of gravitation , Eur. Phys. J. C , 619 ( 2018 )
- A.Barber, On two “self-creation” cosmologies , Gen. Rel. Grav . , 117 ( 1982 )
- C.Brans, Consistency of field equations in “Self-Creation” cosmologies , Gen. Rel. Grav . , 949 ( 1987 )
- C.Brans, and R. H.Dicke, Mach’s Principle and a Relativistic Theory of Gravitation , Phys. Rev . , 925 ( 1961 )
- R. R.Caldwell, A phantom menace? Cosmological consequences of a dark energy component withsuper-negative equation of state , Phys. Lett. B , 23 ( 2002 )
- R. R.Caldwell, and E. V.Linder, Limits of Quintessence , Phys. Rev. Lett. , 141301 ( 2005 )
- S. M.Carroll, Quintessence and the Rest of the World: Suppressing Long-Range Interactions , Phys. Rev. Lett . , 3067 ( 1998 )
- S.Chen, and J.Jing, Dark energy model with higher derivative of Hubble parameter , Phys. Lett. B , 144 ( 2009 )
- T.Chiba, T.Okabe, and M.Yamaguchi, Kinetically driven quintessence , Phy. Rev. D , 023511 ( 2000 )
- A.Cohen, and D.Kaplan, Effective FieldTheory, Black Holes, and the Cosmological Constant , Phys. Rev. Lett . , 4971 ( 1999 )
- K.Das, and TazminSultana, Gravitational anti-screening as an alternative to the ΛCDM model , Astrophys. Space Sci . , 53 ( 2016 )
- Einstein, The Foundation of the General Theory of Relativity , Ann. Phys . , 769 ( 1916 )
- C.Gao, F.Wu, and X.Chen, Holographic dark energy model from Ricci scalar curvature , Phys. Rev. D , 043511 ( 2009 )
- L. N.Granda, and A.Oliveros, Infrared cut-off proposal for the holographic density , Phys. Lett. B , 275 ( 2008 )
- A.Kamenshchik, U.Moschella, and V.Pasquier, An alternative to quintessence , Phys. Lett. B , 265 ( 2001 )
- S. D.Katore, and D. V.Kapse, Dynamics of Bianchi type-VI0 holographic dark energy models in general relativity and Lyra’s geometry , J. Phys . , 30 ( 2017 )
- S. D.Katore, and A. Y.Shaikh, Einstein–Rosen string cosmological model in barber’s second self-creation theory , Int. J. Mod. Phys. A , 9 ( 2011 )
- M.Li, A model of holographic dark energy , Phys. Lett. B , 1 ( 2004 )
- G.Mohanthy, B.Mishra, and A. K.Biswal, Cosmological Models in Barber’s Second Self-Creation Theory , CZech. J. Phys . , 1289 ( 2002 )
- G.Mohanty, R. C.Sahu, and U. K.Panigrahi, Micro and Macro Cosmological Model in Barber’s Second Self-Creation Theory , Astrophys. Space Sci . , 1055 ( 2003 )
- T.Padmanabhan, Accelerated expansion of the universe driven by tachyonic matter , Phys. Rev. D , 021301 ( 2002 ).
- V. U. M.Rao, U. Y.Divya Prasanthi, and Y.Aditya, Plane symmetric modified holographic Ricci dark energy model in Saez-Ballester theory of gravitation , Results in Phys . , 469 ( 2018 ).
- V. U. M.Rao, and T.Vinutha, Plane symmetric string cosmological models in self-creation theory of gravitation , Astrophys. Space Sci . , 59 ( 2010 )
- D. R. K.Reddy, Bianchi type-V modified holographic Ricci dark energy models in Saez–Ballester theory of gravitation , Can. J. Phys . , 2 ( 2017 )
- D. R. K.Reddy, S.Anitha, and S.Umadevi, Holographic dark energy model in Bianchi type VI0 Universe in a scalar–tensor theory of gravitation with hybrid expansion law , Can. J. Phys . , 12 ( 2016 )
- V.Sahni, T. D.Saini, A. A.Starobinsky, and U.Alam, Statefinder-a new geometrical diagnostic of dark energy , J. Exp. Theor. Phys . , 201 ( 2003 )
- R.Santhikumar, and D. R. K.Reddy, Kaluza-Klein Cosmological Model with Bulk Viscosity in Barber’s Second Self Creation Cosmology , Int. J. Astronomy , 1 ( 2015 )
- M. V.Santhi, V. U. M.Rao, Daba MesheshaGusu, and Y.Aditya, Bianchi Type-III Holographic Dark Energy Model with Quintessence , Int. J. Geom. Methods Mod. Phys . , 1850161 ( 2018 )
- K.Shanthi, and V. U. M.Rao, Bianchi type-II and III models in self-creation cosmology , Astrophys. Space Sci . , 147 ( 1991 )
- Shuangwang, YiWang, and MiaoLi, Holographic Dark Energ , Phys. Rep , 1 ( 2017 )
- C. P.Singh, and AjayKumar, Ricci dark energy model with bulk viscosity , Eur. Phys. J. Plus , 312 ( 2018 )
- H. H.Soleng, Self-creation cosmological solutions , Astrophys. Space Sci. , 13 ( 1987b )
- R.Venkateswarlu, and D. R. K.Reddy, Bianchi type-I models in self-creation theory of gravitation , Astrophys. Space Sci . , 193 ( 1990 )
- M.Vijaya Santhi, V. U. M.Rao, and Y.Aditya, Bianchi type-VI0 modified holographic Ricci dark energy model in a scalar–tensor theory , Can. J. Phys . , 179 ( 2017 )
- M. S.Turner, The New Cosmology , Int. J. Mod. Phys. A , 3446 ( 2002 )
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