期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2009
卷号：2009
DOI：10.1155/2009/471938
出版社：Hindawi Publishing Corporation
摘要：A new class of cylindrically symmetric inhomogeneous cosmological models for perfect fluid distribution with electromagnetic field is obtained in the context of Lyra's geometry. We have obtained solutions by considering the time dependent displacement field. The source of the magnetic field is due to an electric current produced along the z-axis. Only 𝐹12 is a nonvanishing component of electromagnetic field tensor. To get the deterministic solution, it has been assumed that the expansion 𝜃 in the model is proportional to the shear 𝜎. It has been found that the solutions are consistent with the recent observations of type Ia supernovae, and the
displacement vector 𝛽(𝑡) affects entropy. Physical and geometric aspects of the models are also discussed in presence and absence of magnetic field.
