Deflection of light and time delay in closed Einstein-Straus solution

Mourad Guenouche and Sami Ryad Zouzou
Phys. Rev. D 98, 123508 – Published 11 December 2018

Abstract

We investigate strong lensing by a spherically symmetric mass distribution in the framework of the Einstein-Straus solution with a positive cosmological constant and concentrate on the case of a spatially closed Universe (k=+1). We develop a method based on integration of differential equations in order to make possible the computation of light deflection and time delay. By applying our results to the lensed quasar sloan digital sky survey (SDSS) J1004+4112, we find that the bending of light and the time delay depend on wether the present value of the scale factor a0 is or is not much smaller than a value close to 9.1×1026m. Beyond this value, the results are almost the same as for the spatially flat Universe. Moreover, it turns out that a positive cosmological constant attenuates the light bending in agreement with Rindler and Ishak’s finding.

  • Figure
  • Received 16 July 2018

DOI:https://doi.org/10.1103/PhysRevD.98.123508

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Mourad Guenouche1,2,* and Sami Ryad Zouzou1,†

  • 1Laboratoire de Physique Théorique, Département de Physique, Faculté des Sciences Exactes, Université de Constantine 1, BP 325 route de Ain El Bey, 25017 Constantine, Algeria
  • 2Université Abbès Laghrour de Khenchela, BP 1252 Route de Batna, 40004 Khenchela, Algeria

  • *guenouche_mourad@umc.edu.dz
  • szouzou2000@yahoo.fr

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Issue

Vol. 98, Iss. 12 — 15 December 2018

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