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arXiv · 0812.2332

The Influence of Free Quintessence on Gravitational Frequency Shift and Deflection of Light with 4D momentum

Molin Liu·Jianbo Lu·Yuanxing Gui
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Abstract

Based on the 4D momentum, the influence of quintessence on the gravitational frequency shift and the deflection of light are examined in modified Schwarzschild space. We find that the frequency of photon depends on the state parameter of quintessence $w_q$: the frequency increases for $-1<w_q<-1/3$ and decreases for $-1/3<w_q<0$. Meanwhile, we adopt an integral power number $a$ ($a = 3ω_q + 2$) to solve the orbital equation of photon. The photon's potentials become higher with the decrease of $ω_q$. The behavior of bending light depends on the state parameter $ω_q$ sensitively. In particular, for the case of $ω_q = -1$, there is no influence on the deflection of light by quintessence. Else, according to the H-masers of GP-A redshift experiment and the long-baseline interferometry, the constraints on the quintessence field in Solar system are presented here.

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Molin Liu, Jianbo Lu, Yuanxing Gui. 2008-12-12. The Influence of Free Quintessence on Gravitational Frequency Shift and Deflection of Light with 4D momentum. https://doi.org/10.1140/epjc%2Fs10052-008-0800-6

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