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Gravitational Lensing

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arxiv 1010.3829 v1 pith:KHUFFGHW submitted 2010-10-19 astro-ph.CO gr-qc

Matthias Bartelmann (Zentrum fuer Astronomie der Universitaet Heidelberg , Institut fuer Theoretische Astrophysik) This is my paper
classification astro-ph.COgr-qc
keywords gravitationallensingachievedanalysisapplicationsclusterscurrentdark
verification ladder T0 review T1 audit T2 compute T3 formal
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Gravitational lensing has developed into one of the most powerful tools for the analysis of the dark universe. This review summarises the theory of gravitational lensing, its main current applications and representative results achieved so far. It has two parts. In the first, starting from the equation of geodesic deviation, the equations of thin and extended gravitational lensing are derived. In the second, gravitational lensing by stars and planets, galaxies, galaxy clusters and large-scale structures is discussed and summarised.

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Cited by 13 Pith papers

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

  1. Constraints on Line-of-Sight Acceleration from O1-O4

    astro-ph.HE 2026-06 conditional novelty 7.0 of 10

    All gravitational-wave binaries analyzed through O4a are consistent with zero line-of-sight acceleration, measured with a new time-domain Doppler method applicable to any waveform model.

  2. Model-Independent Search Discards Faint Lensed-Pairs of Gravitational Wave Events in the Sub-Threshold Candidates of GWTC-4

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    A cross-correlation search of ~11,000 event pairs in GWTC-4 including sub-threshold candidates finds no lensed GW pairs above 3σ, setting an upper bound of ≤1.5/yr on the lensing rate.

  3. Gravitational lensing time delay beyond the Shapiro/geometry split

    astro-ph.CO 2026-05 unverdicted novelty 7.0 of 10

    Derivation from Schwarzschild-de Sitter null geodesics recovers the standard time-delay split as the leading small-angle term, with the first correction intrinsic to the Schwarzschild metric and adding no new cosmolog...

  4. The Treble Clef radio phoenix and its old nonthermal filaments

    astro-ph.CO 2026-07 accept novelty 6.5 of 10

    VLSS J0318.9+5755 (the Treble Clef) is a radio phoenix with ultra-steep spectrum in a massive merging cluster at z≈0.117 in the Zone of Avoidance, shaped by ICM gas motions that may also power a candidate radio halo.

  5. The topology of the magnetic field in Abell 2255 out to its virial radius. Results from the LOFAR Galaxy Cluster Ultra-Deep Field

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    The magnetic field in Abell 2255 shows ordered, region-dependent orientations inferred from synchrotron intensity gradients, with radial fields in bridges and tangential fields in relics.

  6. Constraints on Line-of-Sight Acceleration from O1-O4

    astro-ph.HE 2026-06 unverdicted novelty 6.0 of 10

    All known compact binary mergers show line-of-sight accelerations consistent with zero under a new time-domain Doppler-shift model, with current detectors only sensitive to high-acceleration scenarios.

  7. Revisiting the 'Lensing is Low' Problem with UNIONS

    astro-ph.CO 2026-06 unverdicted novelty 5.0 of 10

    New UNIONS galaxy-galaxy lensing data around CMASS galaxies indicates no significant lensing is low problem, with joint HOD fits to GGL and GC favoring a slightly lower matter power spectrum amplitude than Planck.

  8. Low-redshift constraints on structure growth from CMB lensing tomography

    astro-ph.CO 2025-10 conditional novelty 5.0 of 10

    Low-redshift galaxy clustering and CMB lensing tomography with hybrid effective field theory gives S8=0.79±0.06, consistent with Planck, while data alone prefer Ωm=0.245±0.024.

  9. Dark matter imprints on a caustic encounter in an effective spinning black hole binary lens

    gr-qc 2026-07 conditional novelty 4.0 of 10

    A cored dark-matter correction to a binary lens leaves a small but persistent caustic-timing shift after a spinning vacuum model is fitted to mimic it.

  10. Schwarzschild-like Black Holes Submerged in an Exponential Density Dark Matter Profile

    gr-qc 2026-07 conditional novelty 4.0 of 10

    An analytic Schwarzschild-like metric with an exponential dark matter halo is constructed and its shadows, quasi-normal modes, and greybody bounds are computed, though several derived expressions have sign errors.

  11. Probing Primordial Black Holes with upcoming Radio Telescopes: a case study for LOFAR2.0, FAST Core Array and BINGO

    astro-ph.CO 2026-04 conditional novelty 4.0 of 10

    LOFAR2.0, FAST Core Array and BINGO are forecast to bound f_PBH < 0.16 (M>1 Msun), <0.39 (M>10 Msun) and <0.39 (M>0.1 Msun) respectively from null FRB lensing.

  12. Probing Primordial Black Holes with upcoming Radio Telescopes: a case study for LOFAR2.0, FAST Core Array and BINGO

    astro-ph.CO 2026-04 unverdicted novelty 4.0 of 10

    LOFAR2.0, FAST Core Array and BINGO can constrain the PBH dark matter fraction f_PBH below 0.16-0.39 for masses above 10^{-2} to 10 solar masses via FRB lensing statistics.

  13. Primordial Black Hole signatures from femtolensing and spectral fringe of Gamma Ray Bursts

    astro-ph.HE 2026-02 unverdicted novelty 4.0 of 10

    Spectral fringes in a few GRB observations indicate possible femtolensing by primordial black holes, providing upper limits on their fractional abundance as dark matter.

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