Abstract
Einstein field equations with variable gravitational and cosmological constants are considered in the presence of perfect fluid for Robertson-Walker universe by assuming the 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 cosmological term tends asymptotically to a genuine cosmological constant and the model tends to a deSitter universe. We obtain that the present universe is accelerating with a large fraction of cosmological density in the form of cosmological term.
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Tiwari, R.K. Some Robertson-Walker models with time dependent G and Λ. Astrophys Space Sci 321, 147–150 (2009). https://doi.org/10.1007/s10509-009-0017-7
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DOI: https://doi.org/10.1007/s10509-009-0017-7