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.

arXiv comment12 pages, 2 figures, 4 tables. European Physical Journal C in press

References in corpus (45)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological parameters from SDSS and WMAP
• Cosmological Imprint of an Energy Component with General Equation of State
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Cosmology and the Fate of Dilatation Symmetry
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• Essentials of k-essence
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Kinetically Driven Quintessence
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Quantum deSitter cosmology and phantom matter
• Quintessence and black holes
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• Detection of Weak Gravitational Lensing by Large-scale Structure
• Purely kinetic k-essence as unified dark matter
• Cosmological Dynamics of Phantom Field
• Probing the dark energy: methods and strategies
• Quintessence as a run-away dilaton
• A Measurement of the Angular Power Spectrum of the CMB from l = 100 to 400
• Runaway dilaton and equivalence principle violations
• Power-Law Inflation from the Rolling Tachyon
• Constructing Phantom Cosmologies from Standard Scalar Field Universes
• Assisted inflation via tachyon condensation
• Inflation from a Tachyon Fluid?
• Aspects of Tachyonic Inflation with Exponential Potential
• Probing the dark side: Constraints on the dark energy equation of state from CMB, large scale structure and Type Ia supernovae
• Type Ia Supernovae and the Hubble Constant
• Assisted Tachyonic Inflation
• Evolution of the Fine Structure Constant Driven by Dark Matter and the Cosmological Constant
• Solar system effects in Schwarzschild--de Sitter spacetime
• Testing dark energy beyond the cosmological constant barrier
• Quasinormal modes of a black hole surrounded by quintessence
• Joint Cosmic Shear Measurements with the Keck and William Herschel Telescopes
• Quasinormal modes of gravitational perturbation around a Schwarzschild black hole surrounded by quintessence
• Implementing Power Law Inflation with Tachyon Rolling on the Brane
• The Tensor to Scalar Ratio of Phantom Dark Energy Models
• Constraining the quintessence equation of state with SnIa data and CMB peaks
• Quasinormal modes of a Schwarzschild black hole surrounded by free static spherically symmetric quintessence: Electromagnetic perturbations
• The bending of light and the cosmological constant
• Type Ia Supernova Scenarios and the Hubble Sequence
• Interplay Between Gravity and Quintessence: A Set of New GR Solutions
• Stable accelerating universe with no hair
• Eternally accelerating universe without event horizon

Cited by in corpus (10)

• Schwarzschild black hole surrounded by quintessence: Null geodesics
• Fast radio bursts and their gamma-ray or radio afterglows as Kerr-Newman black hole binaries
• Nariai black holes with quintessence
• Dirac quasinormal modes of a Schwarzschild black hole surrounded by free static spherically symmetric quintessence
• Null trajectories and bending of light in charged black holes with quintessence
• On the Letelier spacetime with quintessence: solution, thermodynamics and Hawking radiation
• 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
• The Fourth Gravity Test and Quintessence Matter Field