Bianchi type-I string cosmological model in the presence of a magnetic   field: classical versus loop quantum cosmology approaches
  A Bianchi type-I cosmological model in the presence of a magnetic flux along a cosmological string is considered. The first objective of this study is to investigate Einstein equations using a tractable assumption usually accepted in the literature. Quantum effects of the present cosmological model are examined in the framework of loop quantum cosmology. Finally we draw a parallel between the classical and quantum approaches. 
Victor Rikhvitsky, Bijan Saha, Mihai Visinescu
gr-qc