Effect of Hubble parameter on the orbit of light ray and radar echo delay in Robertson-McVittie spacetime

In the present paper, we consider the possibility of observationally constraining Hořava gravity at the scale of the Solar System, by considering the classical tests of general relativity (perihelion precession of the planet Mercury, deflection of light by the Sun and the radar echo delay) for the spherically symmetric black hole Kehagias–Sfetsos solution of Hořava–Lifshitz gravity. All these gravitational effects can be fully explained in the framework of the vacuum solution of Hořava gravity. Moreover, the study of the classical general relativistic tests also constrains the free parameter of the solution. From the analysis of the perihelion precession of the planet Mercury, we obtain for the free parameter ω of the Kehagias–Sfetsos solution the constraint ω ≥3.212×10 −26 cm −2 , the deflection of light by the Sun gives ω ≥4.589×10 −26 cm −2 , while the radar echo delay observations can be explained if the value of ω satisfies the constraint ω ≥9.179×10 −26 cm −2 .

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SOFTWARE AND HARDWARE COMPLEX FOR INVESTIGATION OF METEOROLOGICAL RADAR ECHO

Telecommunications and Radio Engineering ◽

10.1615/telecomradeng.v69.i17.20 ◽

2010 ◽

Vol 69 (17) ◽

pp. 1517-1527 ◽

Cited By ~ 3

Author(s):

Ye. N. Belov ◽

O. A. Voytovich ◽

T. A. Makulina ◽

G. A. Rudnev ◽

G. I. Khlopov ◽

...

Keyword(s):

Hardware Complex ◽

Radar Echo ◽

Software And Hardware ◽

Meteorological Radar

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The uncertainty principle between the Hubble parameter and the volume of space.

10.31219/osf.io/hckgy ◽

2019 ◽

Author(s):

Vitaly Kuyukov

Keyword(s):

Uncertainty Principle ◽

Hubble Parameter

The uncertainty principle between the Hubble parameter and the volume of space.

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Radar Echo Enhancement Using Surface Reflections

10.21236/ada146970 ◽

1984 ◽

Author(s):

Ben H. Cantrell

Keyword(s):

Radar Echo

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Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues

Monthly Notices of the Royal Astronomical Society ◽

10.1093/mnras/staa3725 ◽

2020 ◽

Author(s):

Naonori S Sugiyama ◽

Shun Saito ◽

Florian Beutler ◽

Hee-Jong Seo

Keyword(s):

Correlation Functions ◽

Hubble Parameter ◽

Theoretical Models ◽

Practical Method ◽

Acoustic Oscillation ◽

Nonlinear Damping ◽

Joint Analysis ◽

Angular Diameter Distance ◽

Point Correlation ◽

Parameter Constraints

Abstract We establish a practical method for the joint analysis of anisotropic galaxy two- and three-point correlation functions (2PCF and 3PCF) on the basis of the decomposition formalism of the 3PCF using tri-polar spherical harmonics. We perform such an analysis with MultiDark Patchy mock catalogues to demonstrate and understand the benefit of the anisotropic 3PCF. We focus on scales above 80 h−1 Mpc, and use information from the shape and the baryon acoustic oscillation (BAO) signals of the 2PCF and 3PCF. We also apply density field reconstruction to increase the signal-noise ratio of BAO in the 2PCF measurement, but not in the 3PCF measurement. In particular, we study in detail the constraints on the angular diameter distance and the Hubble parameter. We build a model of the bispectrum or 3PCF that includes the nonlinear damping of the BAO signal in redshift space. We carefully account for various uncertainties in our analysis including theoretical models of the 3PCF, window function corrections, biases in estimated parameters from the fiducial values, the number of mock realizations to estimate the covariance matrix, and bin size. The joint analysis of the 2PCF and 3PCF monopole and quadrupole components shows a $30\%$ and $20\%$ improvement in Hubble parameter constraints before and after reconstruction of the 2PCF measurements, respectively, compared to the 2PCF analysis alone. This study clearly shows that the anisotropic 3PCF increases cosmological information from galaxy surveys and encourages further development of the modeling of the 3PCF on smaller scales than we consider.

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