Interaction of Bianchi Type-I Anisotropic Cloud String Cosmological Model Universe with Electromagnetic Field

Singh, Kangujam Priyokumar; Mollah, Mahbubur Rahman; Baruah, Rajshekhar Roy; Daimary, Meher

doi:10.48550/arxiv.1910.08368

Cited by 1 publication

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“…In general one can seek in the literature to obtain numerous gravity models where the anisotropy property of the universe is investigated to reach to great achievements (see for instance some of recent works as [7], [8], [9], [10], [11], [12]. [13], [14], [15], [16], [17], [18] , [19], [20], [21] and references therein). Today, We understood this inevitable fact where the magnetic fields are present throughout the Universe and play an important role in a multitude of astrophysical situations.…”

Section: Introductionmentioning

confidence: 99%

Bianchi I metric solutions with nonminimally coupled Einstein-Maxwell gravity theory

Ghaffarnejad,

Gholipour

2020

Preprint

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By using Bianchi I type of homogenous and anisotropic background metric having cylindrical symmetry in x direction of a local cartesian coordinate systems, we solve Einstein Maxwell metric field equations for three different cases. We assume in each case just one component of the four vector potential is non zero. This important condition reaches to some compatible metric solutions. There are obtained several exponentially inflationary expanding metric solutions. This encourages us to investigate their stability nature via dynamical system approach. We obtain unstable source nature in phase space for case A t (t) = 0 while there are stable sink nature in phase space for A x (t) = 0 with A y = A z = 0. For A x (t) = 0 signature of the metric is Lorentzian (−, +, +, +) while for A y = A z = 0 it is Euclidean (−, −, −, −). Furthermore our mathematical calculations show that the anisotropy property plays critical behavior in expansion of the universe.

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