Light Deflection, Lensing, and Time Delays from Gravitational Potentials and Fermat's Principle in the Presence of a Cosmological Constant

Simple item page
dc.creatorIshak, Mustapha
dc.date2008-01-23
dc.date2008-12-03
dc.date.accessioned2026-07-07T12:14:08Z
dc.date.available2026-07-07T12:14:08Z
dc.descriptionThe contribution of the cosmological constant to the deflection angle and the time delays are derived from the integration of the gravitational potential as well as from Fermat's Principle. The findings are in agreement with recent results using exact solutions to Einstein's equations and reproduce precisely the new $Λ$-term in the bending angle and the lens equation. The consequences on time delay expressions are explored. While it is known that $Λ$ contributes to the gravitational time delay, it is shown here that a new $Λ$-term appears in the geometrical time delay as well. Although these newly derived terms are perhaps small for current observations, they do not cancel out as previously claimed. Moreover, as shown before, at galaxy cluster scale, the $Λ$ contribution can be larger than the second-order term in the Einstein deflection angle for several cluster lens systems.
dc.description6 pages, 1 figure, matches version published in PRD
dc.identifierhttps://arxiv.org/abs/0801.3514
dc.identifierhttp://arxiv.org/abs/0801.3514
dc.identifierPhys.Rev.D78:103006,2008
dc.identifierdoi:10.1103/PhysRevD.78.103006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211089
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleLight Deflection, Lensing, and Time Delays from Gravitational Potentials and Fermat's Principle in the Presence of a Cosmological Constant
dc.typetext

Files

Collections

arXiv