LRS Bianchi Type II Massive String Cosmological Models with Magnetic Field in Lyra's Geometry

Bianchi type II massive string cosmological models with magnetic field and time dependent gauge function () in the frame work of Lyra's geometry are investigated. The magnetic field is in -plane. To get the deterministic solution, we have assumed that the shear () is proportional to the expansi...

Full description

Saved in:
Bibliographic Details
Main Authors: Raj Bali, Mahesh Kumar Yadav, Lokesh Kumar Gupta
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2013/892361
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832550817688715264
author Raj Bali
Mahesh Kumar Yadav
Lokesh Kumar Gupta
author_facet Raj Bali
Mahesh Kumar Yadav
Lokesh Kumar Gupta
author_sort Raj Bali
collection DOAJ
description Bianchi type II massive string cosmological models with magnetic field and time dependent gauge function () in the frame work of Lyra's geometry are investigated. The magnetic field is in -plane. To get the deterministic solution, we have assumed that the shear () is proportional to the expansion (). This leads to , where and are metric potentials and is a constant. We find that the models start with a big bang at initial singularity and expansion decreases due to lapse of time. The anisotropy is maintained throughout but the model isotropizes when . The physical and geometrical aspects of the model in the presence and absence of magnetic field are also discussed.
format Article
id doaj-art-1f05a0e9b06e473ea9e661a303e972ff
institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-1f05a0e9b06e473ea9e661a303e972ff2025-02-03T06:05:37ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/892361892361LRS Bianchi Type II Massive String Cosmological Models with Magnetic Field in Lyra's GeometryRaj Bali0Mahesh Kumar Yadav1Lokesh Kumar Gupta2Department of Mathematics, University of Rajasthan, Jaipur 302004, IndiaDepartment of Mathematics, Dr. H.S. Gour Central University, Sagar 470003, IndiaDepartment of Mathematics, University of Rajasthan, Jaipur 302004, IndiaBianchi type II massive string cosmological models with magnetic field and time dependent gauge function () in the frame work of Lyra's geometry are investigated. The magnetic field is in -plane. To get the deterministic solution, we have assumed that the shear () is proportional to the expansion (). This leads to , where and are metric potentials and is a constant. We find that the models start with a big bang at initial singularity and expansion decreases due to lapse of time. The anisotropy is maintained throughout but the model isotropizes when . The physical and geometrical aspects of the model in the presence and absence of magnetic field are also discussed.http://dx.doi.org/10.1155/2013/892361
spellingShingle Raj Bali
Mahesh Kumar Yadav
Lokesh Kumar Gupta
LRS Bianchi Type II Massive String Cosmological Models with Magnetic Field in Lyra's Geometry
Advances in Mathematical Physics
title LRS Bianchi Type II Massive String Cosmological Models with Magnetic Field in Lyra's Geometry
title_full LRS Bianchi Type II Massive String Cosmological Models with Magnetic Field in Lyra's Geometry
title_fullStr LRS Bianchi Type II Massive String Cosmological Models with Magnetic Field in Lyra's Geometry
title_full_unstemmed LRS Bianchi Type II Massive String Cosmological Models with Magnetic Field in Lyra's Geometry
title_short LRS Bianchi Type II Massive String Cosmological Models with Magnetic Field in Lyra's Geometry
title_sort lrs bianchi type ii massive string cosmological models with magnetic field in lyra s geometry
url http://dx.doi.org/10.1155/2013/892361
work_keys_str_mv AT rajbali lrsbianchitypeiimassivestringcosmologicalmodelswithmagneticfieldinlyrasgeometry
AT maheshkumaryadav lrsbianchitypeiimassivestringcosmologicalmodelswithmagneticfieldinlyrasgeometry
AT lokeshkumargupta lrsbianchitypeiimassivestringcosmologicalmodelswithmagneticfieldinlyrasgeometry