Mathematics – Logic
Scientific paper
May 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aas...21011507z&link_type=abstract
American Astronomical Society Meeting 210, #115.07; Bulletin of the American Astronomical Society, Vol. 39, p.241
Mathematics
Logic
Scientific paper
The turning point and evolution characteristics of the universe are investigated through solving the Friedmann equation with a non-zero cosmological constant. Choosing the present-time Hubble constant, the radius of the present universe , and the density parameter in matter as three key parameters, we obtain the density parameter in dark energy, the cosmological constant, the mass of the universe, the turning point redshif, the age of the present universe, and the time-dependent expansion rate, velocity, radius, and acceleration parameter of the universe. It is shown that the turing point redshift is soly dependent of the density parameters in matter and dark energy. For the flat universe, it turned from past deceleration to recent acceleration when its size was 1/2 to 2/3 of the present size if the density parameter in matter is between 0.2 and 0.4. The expansion rate is very large at initial and decreases with time to approach the Hubble constant. The expansion velocity can be over the light speed in the early period, which decreases to the minimum at the turning point and then increases with time to approach the ratio of the present radius to the Hubble radius times the square root of the density parameter in dark energy. The solution of the time-dependent radius increases with time. The present time depends on the three key parameters. The universe with a larger present radius, smaller Hubble constant, or smaller density parameter in dark energy is elder. The universe with greater density parameter in dark energy accelerates faster recently. The open and closed universes can also be accelerated recently. The turning points and evolution characteristics among different types of the universe and different sets of key parameters are compared. This presentation will show the details, supported by NASA grant (NNG04GD59G).
Tan Aihong
Zhang Tianxi
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