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Variations of the cosmic expansion field and the value of the Hubble constant. (English) Zbl 0963.83040

Piran, Tsvi (ed.), The 8th Marcel Grossmann meeting on recent developments in theoretical and experimental general relativity, gravitation and relativistic field theories. Proceedings of the meeting held in Jerusalem, Israel, June 22-27, 1997. In 2 vols. Singapore: World Scientific. 243-258 (1999).
Summary: Four Hubble diagrams are combined to test for the linearity of the cosmic expansion field. The expansion rate, \(H_0\), is found to decrease by \(\sim 5\%\) out to \(18 000 \text{km s}^{-1}\). Beyond this distance the mean value of \(H_0\) is close to the value at \(10 000 \text{km s}^{-1}\). The absolute value of \(H_0\) is derived in two different ways. The one leads through Cepheids from Hubble Space Telescope and blue SNe Ia to \(H_0=57\pm 7\) (external error) at \(30 000 \text{km s}^{-1}\). The other uses various distance indicators to the Virgo cluster whose distance can be extended to \(10 000 \text{km s}^{-1}\) by means of only relative cluster distances; the result of \(H_0\) is closely the same. Independent distances from purely physical methods (SZ effect, gravitational lenses, and MBW fluctuations) cluster about \(H_0\) (cosmic)\(\approx 58\).
For the entire collection see [Zbl 0952.00061].

MSC:

83F05 Relativistic cosmology
83B05 Observational and experimental questions in relativity and gravitational theory
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
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