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Instability of agegraphic dark energy models

Kyoung Yee KimInstitute of Mathematical Science and School of Computer Aided Science, Inje University, Gimhae 621-749, Republic of KoreaH. W. LeeInstitute of Mathematical Science and School of Computer Aided Science, Inje University, Gimhae 621-749, Republic of KoreaYun Soo MyungInstitute of Mathematical Science and School of Computer Aided Science, Inje University, Gimhae 621-749, Republic of Korea
2008en
ABI

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We investigate the agegraphic dark energy models which were recently proposed to explain the dark energy-dominated universe. For this purpose, we calculate their equation of states and squared speeds of sound. We find that the squared speed for agegraphic dark energy is always negative. This means that the perfect fluid for agegraphic dark energy is classically unstable. Furthermore, it is shown that the new agegraphic dark energy model could describe the matter(radiation)-dominated universe in the far past only when the parameter n is chosen to be n>nc, where the critical values are determined to be nc=2.6878(2.513775) numerically. It seems that the new agegraphic dark energy model is no better than the holographic dark energy model for the description of the dark energy-dominated universe, even though it resolves the causality problem.

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