The age problem in $\Lambda$CDM model

Yang, Rong-Jia; Zhang, Shuang Nan

doi:10.1111/j.1365-2966.2010.17020.x

The age problem in $\Lambda$ CDM model

May, 2009

7 pages

Published in:

Mon.Not.Roy.Astron.Soc. 407 (2010) 1835-1841

e-Print:

0905.2683 [astro-ph.CO]

DOI:

10.1111/j.1365-2966.2010.17020.x

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Abstract: (arXiv)

The age problem in the

\Lambda

CDM model is re-examined. We define the elapsed time

T

of an object is its age plus the age of the Universe when it was born. Therefore in any cosmology,

T

must be smaller than the age of the Universe. For the old quasar APM 08279+5255 at

z=3.91

, previous studies have determined the best-fit value of

T

, 1

\sigma

lower limit and the lowest limit to

T

are 2.3, 2.0 and 1.7 Gyr, respectively. Constrained from SNIa

+R+A+d

, SNIa

+R+A+d+H(z)

, and WMAP5+2dF+SNLS+HST+BBN, the

\Lambda

CDM model can only accommodate

T(z=3.91)=1.7

Gyr at 1

\sigma

deviation. Constrained from WMAP5 results only, the

\Lambda

CDM model can only accommodate

T(z=3.91)=1.7

Gyr at 2

\sigma

deviation. In all these cases, we found that

\Lambda

CDM model accommodates the total age (14 Gyr for

z=0

) of the Universe estimated from old globular clusters, but cannot accommodate statistically the 1

\sigma

lower limit to the best-fit age of APM~08279+5255 at

z=3.91

. These results imply that the

\Lambda

CDM model may suffer from an age problem.

95.36.+x
98.80.-k
98.80.Es
dark matter
cosmological constant
quasar
supernova
cosmic background radiation
baryon: oscillation
Hubble constant

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