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Zbl 1119.83028
Singh, J.P.; Tiwari, R.K.
An LRS Bianchi type-I cosmological model with time-dependent $\Lambda$ term. (English)
[J] Int. J. Mod. Phys. D 16, No. 4, 745-754 (2007). ISSN 0218-2718

Summary: We investigate locally rotationally symmetric (LRS) Bianchi type-I cosmological model containing stiff matter with a cosmological term proportional to the Hubble parameter. This variation law for vacuum density has recently been proposed by Schützhold on the basis of quantum field estimations in the curved and expanding background. The model obtained approaches isotropy. The cosmological term tends asymptotically to a genuine cosmological constant and the model tends to a de Sitter universe. We obtain that the present universe is accelerating with a large fraction of cosmological density in the form of cosmological term. Taking matter density equal to half of the vacuum density, as suggested by observation, we obtain a universe age given by $Ht = 0.55$ and a decelerating parameter equal to $2\sigma ^{2}/3H^{2}$.

MSC 2000:: *83D05 Relativistic gravitational theories other than Einstein's
83F05 Relativistic cosmology
83C15 Closed form solutions of equations in general relativity

Keywords: cosmology; Bianchi type-I universe; variable cosmological term

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Zentralblatt MATH Berlin [Germany]