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Accurate analytic formula for light bending in Schwarzschild metric
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). University of Turku, Finland; Space Research Institute of the Russian Academy of Sciences, Russia.ORCID iD: 0000-0002-0983-0049
Number of Authors: 12020 (English)In: Astronomy and Astrophysics, ISSN 0004-6361, E-ISSN 1432-0746, Vol. 640, article id A24Article in journal (Refereed) Published
Abstract [en]

We propose new analytic formulae describing light bending in the Schwarzschild metric. For an emission radii above the photon orbit at the 1.5 Schwarzschild radius, the formulae have an accuracy of better than 0.2% for the bending angle and 3% for the lensing factor for any trajectories that turn around a compact object by less than about 160 degrees. In principle, they can be applied to any emission point above the horizon of the black hole. The proposed approximation can be useful for problems involving emission from neutron stars and accretion discs around compact objects when fast accurate calculations of light bending are required. It can also be used to test the codes that compute light bending using exact expressions via elliptical integrals.

Place, publisher, year, edition, pages
2020. Vol. 640, article id A24
Keywords [en]
accretion, accretion disks, black hole physics, methods: numerical, X-rays: binaries, stars: black holes, stars: neutron
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-185418DOI: 10.1051/0004-6361/202037471ISI: 000560043100001OAI: oai:DiVA.org:su-185418DiVA, id: diva2:1475704
Available from: 2020-10-13 Created: 2020-10-13 Last updated: 2022-02-25Bibliographically approved

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Poutanen, Juri

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