Bianchi Type-IX Cosmological Model in Self-Creation Theory of Gravitation

Nimkar, A.S.; Wath, J.S.; Wankhade, V.M.

doi:10.1080/1726037X.2021.1911390

Open Access Research Article

Bianchi Type-IX Cosmological Model in Self-Creation Theory of Gravitation

^*A.S. NimkarCorresponding authoranilnimkar@gmail.comDepartment of MathematicsMurtizapurShri Dr. R. G. Rathod Arts and Science CollegeDist, Akola, Maharashtra, IndiaView full profile → , J.S. Wathjotsnawath@gmail.comDepartment of MathematicsP. R. Pote College of Engineering And ManagmentAmravati, Maharashtra, IndiaView full profile → , V.M. Wankhadewankhadevaishnavi07@gmail.comDepartment of MathematicsP. R. Pote College of Engineering And ManagmentAmravati, Maharashtra, IndiaView full profile →

* Corresponding author · click or hover a name for details

pp. 25–34Vol. 19Issue 1January 2021DOI: 10.1080/1726037X.2021.1911390XML

Received:: 06 Jun 2020
Accepted:: 12 Jan 2021
Published Online:: 29 Sep 2021
Article type:: Research Article
Language:: EN
Article no.:: 1726037X.2021.1911390
Pages:: 25–34

Abstract

In this paper, we study macroscopic body cosmological model in the context of self-creation theory. We solve field equations by using relation between metric coefficients and equation of state for macroscopic body. Also, we discuss the features of the obtained solutions.

Keywords

Bianchi type-IXSelf-creation theoryMacroscopic body

Subject Classifications

54H20

References

AdhavK. S., NimkarA. S. and DawandeM. V., Axially Symmetric Cosmological Micro Model in Barbers Modified Theory of Einstein General Relativity , International Journal of Theoretical Physics volume 47 , pp.32013206 ( 2008 ).
AdhavK. S., NimkarA. S., MeteV. G. and DawandeM. V., Axially Symmetric Bianchi Type- I Model with Massless Scalar Field and Cosmic Strings in Barbers Self-Creation Cosmology , International Journal of Theoretical Physics volume 49 , pp 11271132 ( 2010 ).
BaliRaj and DaveS., Bianchi Type-III String Cosmological Models with Bulk Viscous Fluid in General Relativity , Astrophysics and Space Science , Vol. 282 , No. 1 ,pp. 461 - 467 ( 2002 ).
BaliRaj and DaveS., Bianchi Type-IX String Cosmological Model in General Relativity , Pramana Journal of Physics , vol 56 , no. 4 , pp. 513 - 518 ( 2001 ). doi: 10.1007/s12043-001-0100-2
BaliRaj and Yadav, Bianchi Type-IX viscous fluid cosmological model in general relativity , Pramana J. Phys . 64 ( 2 ), 187 - 196 ( 2005 ). doi: 10.1007/BF02704873
BarberG. A., On Two “Self-Creation” Cosmologies , General Relativity and Gravitation , Vol. 14 , pp. 117 - 136 ( 1982 ). doi: 10.1007/BF00756918
ChrabortyS., A Study on Bianchi-IX Cosmological Model , Astrophysics and Space Science 180 , 293 - 303 ( 1991 ). doi: 10.1007/BF00648184
GhateH. R., SontakkeA. S., Bianchi Type-IX Radiating Cosmological Model in Self-Creation Cosmology , International Journal of Innovation Research in Scienc, Engg. and Technology vol. 3 ( 2014 ).
KatoreS. D. and HatkarS. P., Kaluza Klein universe with magnetized anisotropic dark energy in general relativity and Lyra manifold , New Astronomy , 34 , 172 - 177 ( 2015 ). doi: 10.1016/j.newast.2014.07.002
KhadekarG. S. and SheloteR., Higher Dimensional Cosmological Model with Quark and Strange Quark Matter , Int. J. Theor. Phys , 51 ( 5 ), 1442 - 1447 ( 2012 ). doi: 10.1007/s10773-011-1020-7
LandauL. D., LifshitzE. M., The classical Theory of Fields , Fourth Revised English Edition, Pergamon Press .
MahantaK. L. and BiswalA. K., A dark energy model with variable Eos parameter in SelfCreation theory of gravitation , Rom. Journ. Phys ., 58 ( 3-4 ), 239 - 246 ( 2013 ).
MaharajS. D. and Beesham, A., The vacuum Friedmann-type solutions in Barber's theory of gravitation , Astrophysics and Space Science (ISSN 0004-640X), vol. 140 , no. 1 , Jan. 1988 , p. 73 - 76 . doi: 10.1007/BF00643530
MeteV. G., Zeldovich Cosmological Model in Lyra Manifold , Advances in Astrophysics , Vol. 2 , No. 3 , ( 2017 ).
MohantyG., MishraB., and DasReeta, Plane symmetric vacuum and Zeldovich fluid models in self-creation theory , Bulletin-Institute of Mathematics Academia Sinica 28 , no. 1 , 43 - 50 ( 2000 ).
NimkarA. S., PundA. M., Wet Dark Fluid Cosmological Model In Rubans Backround, IOSR Journal of Mathematics , Volume 11 , issue 4 Ver. II. pp 47 - 50 (July-Aug. 2015 ).
PawarD. D, DagwalV. J. and SolankeY. S., Mesonic Cosmological Model with Two-Fluid Source In Lyra Geometry , Int. J. Theor. Phy , 54 , 6 pp 1926 - 1937 ( 2015 ). doi: 10.1007/s10773-014-2396-y
RaoV.U.M., SireeshaK.V.S., and Vijaya SanthiM, Bianchi Types II, VIII, and IX String Cosmological Models with Bulk Viscosity in a Theory of Gravitation, ISRN Mathematical Physics Volume 2012,Article ID 341612,15 pages.
ReddyDRK, Bianchi type-I universe filled with disordered radiation in self-creation cosmology , Astrophysics and Space Science 132 , 2 ( 1987 ). doi: 10.1007/BF00641769
ReddyDRK, Plane Symmetric Cosmic Strings in Lyra Manifold , Astrophysics Space Sci . 300 , 381 - 386 ( 2005 ). doi: 10.1007/s10509-005-4716-4
ReddyDRK, RajuP. and SobhsnbabuK., Bianchi Type-IX Minimally Interacting Holographic Dark Energy Model with Linearly Varying Deceleration Parameter in Scalar-tensor Theory of Gravitation , Prespacetime Journal vol. issue 2 , pp. 315 - 324 ,( 2016 ).
SahooP. K., MishraB., KaluzaKlein dark energy model in the form of wet dark fluid in f(R, T) gravity , Canadian Journal of Physics , 2014 , 92 ( 9 ), 1062 - 1067 , https://doi.org/10.1139/cjp-2014-0411 .
ShanthiK. and RaoV.U.M., Bianchi Type-II and III Models in Self Creation Cosmology , Astrophysics and Space Science 179 , 147 - 153 ( 1991 ). doi: 10.1007/BF00642359
SinghC. P., SureshKumar, Bianchi Type-III Space-Times with Constant Deceleration Parameter in Self-Creation Cosmology , Astrophysics Space Sci , 310 : 31 - 39 ( 2007 ). doi: 10.1007/s10509-007-9411-1
SolengH. H., Self-creation cosmological solutions , Astrophysics and Space Science (ISSN 0004-640X), vol. 139 , no. 1 ,p. 13 - 19 ( 1987 ). doi: 10.1007/BF00643809

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[1] AdhavK. S., NimkarA. S. and DawandeM. V., Axially Symmetric Cosmological Micro Model in Barbers Modified Theory of Einstein General Relativity , International Journal of Theoretical Physics volume 47 , pp.32013206 ( 2008 ).

[2] AdhavK. S., NimkarA. S., MeteV. G. and DawandeM. V., Axially Symmetric Bianchi Type- I Model with Massless Scalar Field and Cosmic Strings in Barbers Self-Creation Cosmology , International Journal of Theoretical Physics volume 49 , pp 11271132 ( 2010 ).

[3] BaliRaj and DaveS., Bianchi Type-III String Cosmological Models with Bulk Viscous Fluid in General Relativity , Astrophysics and Space Science , Vol. 282 , No. 1 ,pp. 461 - 467 ( 2002 ).

[4] BaliRaj and DaveS., Bianchi Type-IX String Cosmological Model in General Relativity , Pramana Journal of Physics , vol 56 , no. 4 , pp. 513 - 518 ( 2001 ). doi: 10.1007/s12043-001-0100-2

[5] BaliRaj and Yadav, Bianchi Type-IX viscous fluid cosmological model in general relativity , Pramana J. Phys . 64 ( 2 ), 187 - 196 ( 2005 ). doi: 10.1007/BF02704873

[6] BarberG. A., On Two “Self-Creation” Cosmologies , General Relativity and Gravitation , Vol. 14 , pp. 117 - 136 ( 1982 ). doi: 10.1007/BF00756918

[7] ChrabortyS., A Study on Bianchi-IX Cosmological Model , Astrophysics and Space Science 180 , 293 - 303 ( 1991 ). doi: 10.1007/BF00648184

[8] GhateH. R., SontakkeA. S., Bianchi Type-IX Radiating Cosmological Model in Self-Creation Cosmology , International Journal of Innovation Research in Scienc, Engg. and Technology vol. 3 ( 2014 ).

[9] KatoreS. D. and HatkarS. P., Kaluza Klein universe with magnetized anisotropic dark energy in general relativity and Lyra manifold , New Astronomy , 34 , 172 - 177 ( 2015 ). doi: 10.1016/j.newast.2014.07.002

[10] KhadekarG. S. and SheloteR., Higher Dimensional Cosmological Model with Quark and Strange Quark Matter , Int. J. Theor. Phys , 51 ( 5 ), 1442 - 1447 ( 2012 ). doi: 10.1007/s10773-011-1020-7

[11] LandauL. D., LifshitzE. M., The classical Theory of Fields , Fourth Revised English Edition, Pergamon Press .

[12] MahantaK. L. and BiswalA. K., A dark energy model with variable Eos parameter in SelfCreation theory of gravitation , Rom. Journ. Phys ., 58 ( 3-4 ), 239 - 246 ( 2013 ).

[13] MaharajS. D. and Beesham, A., The vacuum Friedmann-type solutions in Barber's theory of gravitation , Astrophysics and Space Science (ISSN 0004-640X), vol. 140 , no. 1 , Jan. 1988 , p. 73 - 76 . doi: 10.1007/BF00643530

[14] MeteV. G., Zeldovich Cosmological Model in Lyra Manifold , Advances in Astrophysics , Vol. 2 , No. 3 , ( 2017 ).

[15] MohantyG., MishraB., and DasReeta, Plane symmetric vacuum and Zeldovich fluid models in self-creation theory , Bulletin-Institute of Mathematics Academia Sinica 28 , no. 1 , 43 - 50 ( 2000 ).

[16] NimkarA. S., PundA. M., Wet Dark Fluid Cosmological Model In Rubans Backround, IOSR Journal of Mathematics , Volume 11 , issue 4 Ver. II. pp 47 - 50 (July-Aug. 2015 ).

[17] PawarD. D, DagwalV. J. and SolankeY. S., Mesonic Cosmological Model with Two-Fluid Source In Lyra Geometry , Int. J. Theor. Phy , 54 , 6 pp 1926 - 1937 ( 2015 ). doi: 10.1007/s10773-014-2396-y

[18] RaoV.U.M., SireeshaK.V.S., and Vijaya SanthiM, Bianchi Types II, VIII, and IX String Cosmological Models with Bulk Viscosity in a Theory of Gravitation, ISRN Mathematical Physics Volume 2012,Article ID 341612,15 pages.

[19] ReddyDRK, Bianchi type-I universe filled with disordered radiation in self-creation cosmology , Astrophysics and Space Science 132 , 2 ( 1987 ). doi: 10.1007/BF00641769

[20] ReddyDRK, Plane Symmetric Cosmic Strings in Lyra Manifold , Astrophysics Space Sci . 300 , 381 - 386 ( 2005 ). doi: 10.1007/s10509-005-4716-4

[21] ReddyDRK, RajuP. and SobhsnbabuK., Bianchi Type-IX Minimally Interacting Holographic Dark Energy Model with Linearly Varying Deceleration Parameter in Scalar-tensor Theory of Gravitation , Prespacetime Journal vol. issue 2 , pp. 315 - 324 ,( 2016 ).

[22] SahooP. K., MishraB., KaluzaKlein dark energy model in the form of wet dark fluid in f(R, T) gravity , Canadian Journal of Physics , 2014 , 92 ( 9 ), 1062 - 1067 , https://doi.org/10.1139/cjp-2014-0411 .

[23] ShanthiK. and RaoV.U.M., Bianchi Type-II and III Models in Self Creation Cosmology , Astrophysics and Space Science 179 , 147 - 153 ( 1991 ). doi: 10.1007/BF00642359

[24] SinghC. P., SureshKumar, Bianchi Type-III Space-Times with Constant Deceleration Parameter in Self-Creation Cosmology , Astrophysics Space Sci , 310 : 31 - 39 ( 2007 ). doi: 10.1007/s10509-007-9411-1

[25] SolengH. H., Self-creation cosmological solutions , Astrophysics and Space Science (ISSN 0004-640X), vol. 139 , no. 1 ,p. 13 - 19 ( 1987 ). doi: 10.1007/BF00643809

Journal of Dynamical Systems and Geometric Theories

WoS JIF 2026 : 0.5 (Q3)

Bianchi Type-IX Cosmological Model in Self-Creation Theory of Gravitation

Abstract

Keywords

Subject Classifications

References