Research ArticleOpen AccessGoogle Scholar indexed
Five Dimensional String Universes in Lyra Manifold
Department of Mathematics, Commerce College Kokrajhar, Kokrajhar, BTC, Assam, India
Department of Mathematical Sciences, Bodoland University, Kokrajhar, BTC, Assam, India
Department of Mathematics Sciences, National Institute of Technology Manipur, Imphal, India
- 1 Department of Mathematics, Commerce College Kokrajhar, Kokrajhar, BTC, Assam, India
- 2 Department of Mathematical Sciences, Bodoland University, Kokrajhar, BTC, Assam, India
- 3 Department of Mathematics Sciences, National Institute of Technology Manipur, Imphal, India
International Journal of Astronomy and Astrophysics·Volume 05 (2015)·Pages 90–94·Published 4 May 2015·DOI10.4236/ijaa.2015.52012
Copy link · social · email
Abstract
Considering five dimensional plane symmetric metric, we discuss a model universe with different situations, by solving the modified Einstein field equations within the framework of Lyra geometry. We obtain many interesting realistic solutions governing the present day model of the universe. Physical and kinematical properties of the models are discussed in detail.
KeywordsCosmic StringsLyra GeometryDark EnergyEvolutionCloudsEarly UniverseDark Matter
- Weyl, H. (1918) Sitzungsberichte Der Preussischen Akademie Der Wissenschaften. Academy Wiss, Berlin, 465.
- Lyra, G. (1951) über-eine Modifikation der Riemannschen Geometrie. Mathematische Zeitschrift, 54, 52-64. http://dx.doi.org/10.1007/BF01175135
- Pradhan, A. and Kumar, S.S. (2009) Plane Symmetric Inhomogeneous Perfect Fluid Universe with Electromagnetic Field in Lyra Geometry. Astrophysics and Space Science, 321, 137-146. http://dx.doi.org/10.1007/s10509-009-0015-9
- Pradhan, A. and Mathur, P. (2009) Inhomogeneous Perfect Fluid Universe with Electromagnetic Field in Lyra Geometry. Fizika B, 18, 243-264. (gr-qc/0806.4815)
- Pradhan, A. and Yadav, P. (2009) Accelerated Lyra’s Cosmology Driven by Electromagnetic Field in Inhomogeneous Universe. International Journal of Mathematics and Mathematical Sciences (IJMMS), 2009, Article ID: 471938, 20 p. http://dx.doi.org/10.1155/2009/471938
- Pradhan, A. (2009) Cylindrically Symmetric Viscous Fluid Universe in Lyra Geometry. Journal of Mathematical Physics, 50, 022501-022513. http://dx.doi.org/10.1063/1.3075571
- Pradhan, A., Amirhashchi, H. and Zainuddin, H. (2011) A New Class of Inhomogeneous Cosmological Models with Electromagnetic Field in Normal Gauge for Lyra’s Manifold. International Journal of Theoretical Physics, 50, 56-69. http://dx.doi.org/10.1007/s10773-010-0493-0
- Pradhan, A. and Singh, A.K. (2011) Anisotropic Bianchi Type-I String Cosmological Models in Normal Gauge for Lyra’s Manifold with Constant Deceleration Parameter. International Journal of Theoretical Physics, 50, 916-933. http://dx.doi.org/10.1007/s10773-010-0636-3
- Yadav, A.K. (2010) Lyra’s Cosmology of Inhomogeneous Universe with Electromagnetic Field. Fizika B, 19, 53-80.
- Agarwal, S., Pandey, R and Pradhan, A. (2011) LRS Bianchi Type II Perfect Fluid Cosmological Models in Normal Gauge for Lyra’s Manifold. International Journal of Theoretical Physics, 50, 296-307. http://dx.doi.org/10.1007/s10773-010-0523-y
- Singh, R.S. and Singh, A. (2012) A New Class of Magnetized Inhomogeneous Cosmological Models of Perfect Fluid Distribution with Variable Magnetic Permiability in Lyra Geometry. Electronic Journal of Theoretical Physics, 9, 265-282.
- Bhamra, K.S. (1974) A Cosmological Model of Class One in Lyra’s Manifold. Australian Journal of Physics, 27, 541-547. http://dx.doi.org/10.1071/PH740541