Can Interplanetary Measures Bound the Cosmological Constant?

Cardona, Javier; Tejeiro, Juan Manuel

doi:10.1086/305125

Cited by 41 publications

(43 citation statements)

References 8 publications

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“…The numerical value of the cosmological constant is extremely small and can be taken to be Λ ≈ 10 −56 cm −2 according to [32] even though astrophysical tests such as the perihelion precession of planets in our solar system and other tests based on the large scale geometry of the universe suggest an upper bound for the cosmological constant given by Λ 10 −42 m −2 [33][34][35][36]. With the inclusion of Λ gravity becomes essentially a two scale theory.…”

Section: Bending Of Light In the Schwarzschild -Desitter Metricmentioning

confidence: 99%

Light on curved backgrounds

2015

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We consider the motion of light on different spacetime manifolds by calculating the deflection angle, lensing properties and by probing into the possibility of bound states. The metrics in which we examine the light motion include, among other, a general relativistic Dark Matter metric, a dirty Black Hole and a Worm Hole metric, the last two inspired by non-commutative geometry. The lensing in a Holographic Screen metric is discussed in detail. We study also the bending of light around naked singularities like, e.g., the Janis-Newman-Winicour metric and include other cases. A generic property of light behaviour in these exotic metrics is pointed out. For the standard metric like the Schwarzschild and Schwarzschild-de Sitter cases we improve the accuracy of the lensing results for the weak and strong regime.

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Section: Bending Of Light In the Schwarzschild -Desitter Metricmentioning

confidence: 99%

Light on curved backgrounds

2015

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“…In terms of the new parameters, and with use of (38), the radial equation of motion (30) takes the form…”

Section: B Orbital Out-spiralingmentioning

confidence: 99%

Cosmological perturbations on local systems

2007

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We study the effect of cosmological expansion on orbits-galactic, planetary, or atomic-subject to an inverse-square force law. We obtain the laws of motion for gravitational or electrical interactions from general relativity-in particular, we find the gravitational field of a mass distribution in an expanding universe by applying perturbation theory to the Robertson-Walker metric. Cosmological expansion induces an (ä/a) r force where a(t) is the cosmological scale factor. In a locally Newtonian framework, we show that the (ä/a) r term represents the effect of a continuous distribution of cosmological material in Hubble flow, and that the total force on an object, due to the cosmological material plus the matter perturbation, can be represented as the negative gradient of a gravitational potential whose source is the material actually present. We also consider the effect on local dynamics of the cosmological constant. We calculate the perihelion precession of elliptical orbits due to the cosmological constant induced force, and work out a generalized virial relation applicable to gravitationally bound clusters.

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“…Bounds on the magnitude of the cosmological constant from the observed value of Mercury's perihelion shift have been estimated using different methods of approximation by Islam [12] and Cardona et al [13] with conflicting results. The upper bounds obtained were respectively, |Λ| ≤ 10 −42 cm −2 [12] and |Λ| ≤ 10 −55 cm −2 [13]. The latter value compares favourably to the values for the magnitute of the cosmological constant obtained from large-scale observations [39] and cosmological considerations [11].…”

Section: Motivationmentioning

confidence: 99%

Compact calculation of the perihelion precession of Mercury in general relativity, the cosmological constant and Jacobi's inversion problem

Kraniotis

Whitehouse

2003

Class. Quantum Grav.

102

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The geodesic equations resulting from the Schwarzschild gravitational metric element are solved exactly including the contribution from the Cosmological constant. The exact solution is given by genus 2 Siegelsche modular forms. For zero cosmological constant the hyperelliptic curve degenerates into an elliptic curve and the resulting geodesic is solved by the Weierstraß Jacobi modular form. The solution is applied to the precise calculation of the perihelion precession of the orbit of planet Mercury around the Sun.

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Can Interplanetary Measures Bound the Cosmological Constant?

Cited by 41 publications

References 8 publications

Light on curved backgrounds

Light on curved backgrounds

Cosmological perturbations on local systems

Compact calculation of the perihelion precession of Mercury in general relativity, the cosmological constant and Jacobi's inversion problem

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