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

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 $a$ ($a=3{\omega }_q+2$) to solve the orbital equation of photon. The photon's potentials become higher with the decrease of ${\omega }_q$. The behavior of bending light depends on the state parameter ${\omega }_q$ sensitively. In particular, for the case of ${\omega }_q=-1$, 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.

12 pages, 2 figures, 4 tables. European Physical Journal C in press

References in corpus (4)

• Cosmology and the Fate of Dilatation Symmetry
• Solar system effects in Schwarzschild--de Sitter spacetime
• Quasinormal modes of gravitational perturbation around a Schwarzschild black hole surrounded by quintessence
• Quasinormal modes of a Schwarzschild black hole surrounded by free static spherically symmetric quintessence: Electromagnetic perturbations

Cited by in corpus (5)

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• Dirac quasinormal modes of a Schwarzschild black hole surrounded by free static spherically symmetric quintessence
• Casimir Effect in the Kerr Spacetime with Quintessence
• Greybody factor and perturbation of a Schwarzschild black hole with string clouds and quintessence
• Thermal Casimir effect in Kerr spacetime with quintessence and massive gravitons