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arxiv: astro-ph/9912508 · v1 · submitted 1999-12-23 · 🌌 astro-ph

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Weak Gravitational Lensing

Matthias Bartelmann , Peter Schneider (MPA Garching)
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classification 🌌 astro-ph
keywords lensingweakgravitationalbackgroundcosmologicaldistributionsformalismgalaxies
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We review theory and applications of weak gravitational lensing. After summarising Friedmann-Lemaitre cosmological models, we present the formalism of gravitational lensing and light propagation in arbitrary space-times. We discuss how weak-lensing effects can be measured. The formalism is then applied to reconstructions of galaxy-cluster mass distributions, gravitational lensing by large-scale matter distributions, QSO-galaxy correlations induced by weak lensing, lensing of galaxies by galaxies, and weak lensing of the cosmic microwave background. Contents: Introduction - Cosmological Background - Gravitational Light Deflection - Principles of Weak Gravitational Lensing - Weak Lensing by Galaxy Clusters - Weak Cosmological Lensing - QSO Magnification Bias and Large-Scale Structure - Galaxy-Galaxy Lensing - The Impact of Weak Gravitational Lensing on the Microwave Background Radiation - Summary and Outlook

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Hadronic lensing

    gr-qc 2026-05 unverdicted novelty 6.0

    Hadrons modeled by the nonlinear sigma model give photons a coordinate-dependent effective mass, yielding analytic expressions for the refractive index and a hadronic correction to the weak-field deflection angle arou...

  2. Hadronic lensing

    gr-qc 2026-05 unverdicted novelty 6.0

    Hadrons described by the nonlinear sigma model minimally coupled to Maxwell theory modify photon paths away from null geodesics, enabling analytic hadronic corrections to gravitational lensing deflection angles.

  3. UNIONS-3500 Weak Lensing: III. 2D Cosmological Constraints in Configuration Space

    astro-ph.CO 2026-05 accept novelty 5.0

    UNIONS-3500 weak lensing data yields S_8 = 0.831^{+0.067}_{-0.078} in flat LCDM from 2D cosmic shear, consistent with Planck within 1 sigma.

  4. Observational constraints on nonlocal black holes via gravitational lensing

    gr-qc 2026-04 unverdicted novelty 5.0

    Nonlocal black holes remain consistent with general relativity at the 1.13-sigma level after joint lensing and quasinormal-mode constraints.

  5. Planck 2018 results. VI. Cosmological parameters

    astro-ph.CO 2018-07 accept novelty 5.0

    Final Planck CMB data confirms the flat 6-parameter ΛCDM model with Ω_c h² = 0.120 ± 0.001, Ω_b h² = 0.0224 ± 0.0001, n_s = 0.965 ± 0.004, τ = 0.054 ± 0.007, H_0 = 67.4 ± 0.5 km/s/Mpc, and no strong evidence for extensions.

  6. KiDS+VIKING-450 cosmology with Bayesian hierarchical model redshift distributions

    astro-ph.CO 2026-05 conditional novelty 4.0

    Bayesian hierarchical modeling of photometric redshifts in KiDS+VIKING-450 raises S8 to 0.756 ± 0.039 and reduces Planck tension to 1.9σ.