scholarly journals Photon sphere and perihelion shift in weak f(T) gravity

2019 ◽  
Vol 100 (8) ◽  
Author(s):  
Sebastian Bahamonde ◽  
Kai Flathmann ◽  
Christian Pfeifer
Keyword(s):  
Perihelion Shift

scholarly journals Variational iteration method for studying perihelion precession and deflection of light in General Relativity

2016 ◽  
Vol 4 (2) ◽  
pp. 52 ◽  
Author(s):  
V.K. Shchigolev
Keyword(s):  
General Relativity ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Approximate Solutions ◽  
Simple Problem ◽  
Geodesic Equations ◽  
Variational Iteration ◽  
Deflection Of Light ◽  
Perihelion Shift ◽  
Main Ideas

A new approach in studying the planetary orbits and deflection of light in General Relativity (GR) by means of the Variational iteration method (VIM) is proposed in this paper. For this purpose, a brief review of the nonlinear geodesic equations in the spherical symmetry spacetime and the main ideas of VIM are given. The appropriate correct functionals are constructed for the geodesics in the spacetime of Schwarzschild, Reissner-Nordström and Kiselev black holes. In these cases, the Lagrange multiplier is obtained from the stationary conditions for the correct functionals. Then, VIM leads to the simple problem of computation of the integrals in order to obtain the approximate solutions of the geodesic equations. On the basis of these approximate solutions, the perihelion shift and the light deflection have been obtained for the metrics mentioned above.

scholarly journals Effect of GUP on the Kepler problem and a variable minimal length

2014 ◽  
Vol 92 (6) ◽  
pp. 484-487 ◽  
Author(s):  
Fatemeh Ahmadi ◽  
Jafar Khodagholizadeh
Keyword(s):  
Cosmological Constant ◽  
Uncertainty Principle ◽  
Kepler Problem ◽  
Rotational Symmetry ◽  
Generalized Uncertainty Principle ◽  
Space Time ◽  
Minimal Length ◽  
De Sitter ◽  
Heisenberg Uncertainty Principle ◽  
Perihelion Shift

Various approaches to quantum gravity, such as string theory, predict a minimal measurable length and a modification of the Heisenberg uncertainty principle near the Plank scale, known as the generalized uncertainty principle (GUP). Here we study the effects of GUP, which preserves the rotational symmetry of the space–time, on the Kepler problem. By comparing the value of the perihelion shift of the planet Mercury in Schwarzschild – de Sitter space–time with the resultant value of GUP, we find a relation between the minimal measurable length and the cosmological constant of the space–time. Now, if the cosmological constant varies with time, we have a variable minimal length in the space–time. Finally, we investigate the effects of GUP on the stability of circular orbits.

scholarly journals APSIS: AN ARTIFICIAL PLANETARY SYSTEM IN SPACE TO PROBE EXTRA-DIMENSIONAL GRAVITY AND MOND

2008 ◽  
Vol 17 (03n04) ◽  
pp. 453-466 ◽  
Author(s):  
VARUN SAHNI ◽  
YURI SHTANOV
Keyword(s):  
Planetary System ◽  
Free Fall ◽  
Experimental Conditions ◽  
Spacecraft Design ◽  
Fifth Dimension ◽  
The Earth ◽  
Perihelion Shift ◽  
Dimensional Gravity ◽  
Free Environment ◽  
Sources Of Contamination

A proposal is made to test Newton's inverse-square law using the perihelion shift of test masses (planets) in free fall within a spacecraft located at the Earth–Sun L2 point. Such an artificial planetary system in space (APSIS) will operate in a drag-free environment with controlled experimental conditions and minimal interference from terrestrial sources of contamination. We demonstrate that such a space experiment can probe the presence of a "hidden" fifth dimension on the scale of a micron, if the periapsis shift of a "planet" can be measured to sub-arc-second accuracy. Some suggestions for spacecraft design are made.

Experimental tests of a new theory of gravitation

1981 ◽  
Vol 59 (2) ◽  
pp. 283-288 ◽  
Author(s):  
J. W. Moffat
Keyword(s):  
Upper Bound ◽  
Symmetric Solution ◽  
Satellite Orbit ◽  
Experimental Tests ◽  
Spherically Symmetric ◽  
The Sun ◽  
Field Equations ◽  
Spherically Symmetric Solution ◽  
Perihelion Shift ◽  
Theory Of Gravitation

The predictions for the perihelion shift, the deflection of light, and the delay time of a light ray are calculated in the nonsymmetric theory of gravitation. An upper bound for the parameter l (that occurs as a constant of integration in the static, spherically symmetric solution of the field equations) is obtained for the sun for the experimental value of the perihelion shift of Mercury, yielding [Formula: see text]. The upper bound on [Formula: see text] obtained from the Viking spacecraft time-delay experiment is [Formula: see text]. For [Formula: see text], we find that the theory is consistent with the standard relativistic experiments for the solar system. The theory predicts that the perihelion of a satellite could reverse its direction of precession if it orbits close enough to the sun. The results for a highly eccentric satellite orbit are calculated in terms of the value [Formula: see text].

Perihelion shift and level ordering

1984 ◽  
Vol 105 (1-2) ◽  
pp. 6-10 ◽  
Author(s):  
B. Baumgartner
Keyword(s):  
Perihelion Shift

scholarly journals Probing general relativity with radar astrometry in the inner solar system

2009 ◽  
Vol 5 (S261) ◽  
pp. 183-188 ◽  
Author(s):  
Jean-Luc Margot ◽  
Jon D. Giorgini
Keyword(s):  
General Relativity ◽  
The Sun ◽  
Solar Oblateness ◽  
Wide Range ◽  
Perihelion Shift ◽  
Orbital Drift ◽  
General Relativistic ◽  
Near Earth Objects ◽  
Dynamical Measurement

AbstractWe describe a long-term program designed to obtain and interpret high-precision radar range measurements of a number of near-Earth objects (NEOs) that have trajectories reaching deep inside the gravitational well of the Sun. Objects in our sample have perihelion shift rates 1.5 to 2.5 times that of (1566) Icarus (10″/cy) and span a wide range of inclinations and semi-major axes, allowing for an unambiguous separation of general relativistic and solar oblateness effects. Four objects have been observed at Arecibo on at least two apparitions since 2000, with typical uncertainties of a few hundred meters. Within the next three years, we anticipate securing a total of 15 observations of 5 different NEOs. This program is expected to provide a purely dynamical measurement of the oblateness of the Sun (J2 at the 10−8 level) and to constrain the Eddington parameter β at the 10−4 level. Although our objects are selected to minimize Yarkovsky orbital drift, we also anticipate measuring Yarkovsky drift rates, which are orthogonal to the GR and J2 signatures.

The Perihelion Shift of Mercury’s Orbit

2019 ◽  
Vol 54 (8) ◽  
pp. 1131-1137 ◽  
Author(s):  
N. I. Amelkin
Keyword(s):  
Perihelion Shift

scholarly journals SPACE–TIME UNCERTAINTY RELATION AND OPERATIONAL DEFINITION OF DIMENSION

2008 ◽  
Vol 23 (11) ◽  
pp. 1747-1756 ◽  
Author(s):  
MICHAEL MAZIASHVILI
Keyword(s):  
Uncertainty Relation ◽  
Operational Definition ◽  
Space Time ◽  
Planetary Motion ◽  
Time Dimension ◽  
Space Time Structure ◽  
Theoretical Predictions ◽  
Perihelion Shift ◽  
Definition Of ◽  
Operational Dimension

Operational definition of space–time in light of quantum mechanics and general relativity inevitably indicates an intrinsic imprecision in space–time structure which has to do with space–time dimension as well. The operational dimension of space–time turns out to be a scale dependent quantity slightly smaller than four at distances ≫lP. Close to the Planck length the deviation of space–time dimension from four becomes appreciable. The experimental bounds on the deviation of space–time dimension from four coming from the electron [Formula: see text] factor, Lamb shift in hydrogen atom and the perihelion shift in the planetary motion are still far from the theoretical predictions.

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