Dergiler / Turkish Journal of Physics / 2010 / Cilt: 34 - Sayı: 3
On Robertson-Walker universe model with variable cosmological term and gravitational constant in cosmological relativity theory
- Sayfa
- 173–180
- DOI
- —
Özet
This paper presents cosmological models in which the gravitational and cosmological constants G and L are time-dependent. We find a variety of solutions for the variation of cosmological parameters. It is also found that, in the case of matter dominated Robertson-Walker Universe, if the cosmological constant L \ne 0, the Hubble's constant H is not constant at all but inversely proportional to the cosmic time. The conservation law for the energy momentum tensor is still valid with our law of variation: L \propto R-2 and Gr \propto \frac{L }{8p}.
Abstract
This paper presents cosmological models in which the gravitational and cosmological constants G and L are time-dependent. We find a variety of solutions for the variation of cosmological parameters. It is also found that, in the case of matter dominated Robertson-Walker Universe, if the cosmological constant L \ne 0, the Hubble's constant H is not constant at all but inversely proportional to the cosmic time. The conservation law for the energy momentum tensor is still valid with our law of variation: L \propto R-2 and Gr \propto \frac{L }{8p}.