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Bianchi Type-Ⅱ Inflationary Models with Stiff Matter and Decaying Cosmological Term

Bianchi Type-Ⅱ Inflationary Models with Stiff Matter and Decaying Cosmological Term
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摘要 We deal with Einstein's field equations with a time-decaying cosmological term of the forms (i) ∧=β(a/a) + α/a62 and (ii)∧ = α/a^2, where a is the average scale factor of the universe, α and β are constants for a spatially homogeneous and anisotropic LRS Bianchi type-Ⅱ spacetime. Exact solutions of the field equations for stiff matter are obtained by applying a special law of variation for the Hubble parameter. Anisotropic cosmological models are presented with a constant negative deceleration parameter which corresponds to the accelerated phase of the present universe. The cosmological constant A is obtained as a decreasing function of time that is approaching a small positive value at the present epoch, which is corroborated by the consequences from recent supernovae Ia observations. The physical and kinematical behaviors of the models are also discussed. We deal with Einstein's field equations with a time-decaying cosmological term of the forms (i) ∧=β(a/a) + α/a62 and (ii)∧ = α/a^2, where a is the average scale factor of the universe, α and β are constants for a spatially homogeneous and anisotropic LRS Bianchi type-Ⅱ spacetime. Exact solutions of the field equations for stiff matter are obtained by applying a special law of variation for the Hubble parameter. Anisotropic cosmological models are presented with a constant negative deceleration parameter which corresponds to the accelerated phase of the present universe. The cosmological constant A is obtained as a decreasing function of time that is approaching a small positive value at the present epoch, which is corroborated by the consequences from recent supernovae Ia observations. The physical and kinematical behaviors of the models are also discussed.
出处 《Chinese Physics Letters》 SCIE CAS CSCD 2014年第7期27-31,共5页 中国物理快报(英文版)
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