Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0870.53073
Abdussattar; Vishwakarma, R.G.
Some FRW models with variable $G$ and $\Lambda$. (English)
[J] Classical Quantum Gravity 14, No.4, 945-953 (1997). ISSN 0264-9381; ISSN 1361-6382/e

Summary: Einstein's field equations with $G$ and $\Lambda$ both varying with time are considered in the context of general homogeneous, isotropic universes in a way which conserves the energy momentum tensor of the matter content. It is found that the solutions of the field equations, which are based on the variation of $\Lambda$ as $R^{-2}$ but with different constants of proportionality, describe significantly different cosmological scenarios. It is also found that the non-static models with constant density having a vacuum-like equation of state are endowed with inflation for a wide class of functions $G(t)$ and $\Lambda (t)$, and a static universe with constant density without the vacuum-like equation of state can exist only for $k=1$ with constant $G$ and $\Lambda$.

MSC 2000:: *53Z05 Appl. of differential geometry to physics
83F05 Relativistic cosmology

Keywords: Einstein's equations; variable cosmological constant; variable gravitational constant

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]