Classical tests of general relativity in the Newtonian limit of Schwarzschild-de Sitter spacetime

Abstract

Recently it has been shown that despite previous claims the cosmological constant affects light bending. In the present article we study light bending and the advance of Mercury's perihelion in the context of the Newtonian limit of Schwarzschild-de Sitter spacetime employing the special relativistic equivalence of mass and energy. In both cases, up to a constant factor, we find the same results as in the full general relativistic treatment of the same phenomena. These approximate and intuitive arguments demonstrate clearly what effects should have been expected from the presence of $\Lambda$ in the general relativistic treatment of these phenomena.

12 pages, Revtex, 1 figure

References in corpus (6)

• The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
• On the influence of the cosmological constant on gravitational lensing in small systems
• Standard Clocks, Orbital Precession and the Cosmological Constant
• Rigorous Approach to the Gravitational Lensing
• The bending of light and the cosmological constant
• A New Independent Limit on the Cosmological Constant/Dark Energy from the Relativistic Bending of Light by Galaxies and Clusters of Galaxies

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• Note on the perihelion/periastron advance due to cosmological constant
• Beyond lensing by the cosmological constant
• Lensing in an interior Kottler solution
• The optical geometry definition of the total deflection angle of a light ray in curved spacetime
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• Studying Gravitational Deflection of Light by Kiselev Black Hole via Homotopy Perturbation Method
• Cosmological applications of the Brown-York quasilocal mass
• Deflection of light and time delay in closed Einstein-Straus solution
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• A note on cosmological features of modified Newtonian potentials
• Effect of the spatial curvature on light bending and time delay in curved Einstein-Straus--de Sitter spacetime
• Classical Tests of General Relativity: Probing Topologically Charged Black Holes on Brane Worlds in f(R) Bulk
• Twist deformations of Newtonian Schwarzschild-(Anti-)de Sitter classical system
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• Electrodynamics in curved spacetime: Gravitationally-induced constitutive equations and the spacetime index of refraction