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Continuing work initiated in an earlier publication [Ishihara, Suzuki, Ono, Kitamura, Asada, Phys. Rev. D {\bf 94}, 084015 (2016) ], we discuss a method of calculating the bending angle of light in a static, spherically symmetric and…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Asahi Ishihara , Yusuke Suzuki , Toshiaki Ono , Hideki Asada

The standard treatment of gravitational lensing by a point mass lens M is based on a weak-field deflection angle a = 2/x, where x = (r c^2)/(2 G M) with r the distance of closest approach to the mass of a lensed light ray. It was shown that…

Astrophysics · Physics 2009-11-07 A. O. Petters

We study gravitational lensing and the bending of light in low energy scale (M_S) gravity theories with extra space-time dimensions n. We find that due to the presence of spin-2 Kaluza-Klein states from compactification, a correction to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Gang He , Girish C. Joshi , Bruce H. J. McKellar

By using a method improved with a generalized optical metric, the deflection of light for an observer and source at finite distance from a lens object in a stationary, axisymmetric and asymptotically flat spacetime has been recently…

General Relativity and Quantum Cosmology · Physics 2019-07-08 Toshiaki Ono , Asahi Ishihara , Hideki Asada

By using a method improved with a generalized optical metric, the deflection of light for an observer and source at finite distance from a lens object in a stationary, axisymmetric and asymptotically flat spacetime has been recently…

General Relativity and Quantum Cosmology · Physics 2019-07-29 Toshiaki Ono , Asahi Ishihara , Hideki Asada

We consider the impact of second order corrections to the geodesic equation governing gravitational lensing. We start from the full second order metric, including scalar, vector and tensor perturbations, and retain all relevant…

Astrophysics · Physics 2008-11-26 S. Dodelson , E. W. Kolb , S. Matarrese , A. Riotto , P. Zhang

We analyze gravitational lensing in a matched Kottler spacetime with cosmological constant $\Lambda$, where a uniform-density fluid sphere described by the interior Kottler solution is smoothly joined to the exterior Kottler region. We…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Mourad Guenouche

Two exact lens equations have been recently shown to be equivalent to each other, being consistent with the gravitational deflection angle of light from a source to an observer, both of which can be within a finite distance from a lens…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Keita Takizawa , Hideki Asada

Correlations between tracers of the matter density field and gravitational lensing are sensitive to the evolution of the matter power spectrum and the expansion rate across cosmic time. Appropriately defined ratios of such correlation…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-26 J. Prat , E. J. Baxter , T. Shin , C. Sánchez , C. Chang , B. Jain , R. Miquel , A. Alarcon , D. Bacon , G. M. Bernstein , R. Cawthon , T. M. Crawford , C. Davis , J. De Vicente , S. Dodelson , T. F. Eifler , O. Friedrich , M. Gatti , D. Gruen , W. G. Hartley , G. P. Holder , B. Hoyle , M. Jarvis , E. Krause , N. MacCrann , B. Mawdsley , A. Nicola , Y. Omori , A. Pujol , M. M. Rau , C. L. Reichardt , S. Samuroff , E. Sheldon , M. A. Troxel , P. Vielzeuf , J. Zuntz , T. M. C. Abbott , F. B. Abdalla , J. Annis , S. Avila , K. Aylor , B. A. Benson , E. Bertin , L. E. Bleem , D. Brooks , D. L. Burke , J. E. Carlstrom , M. Carrasco Kind , J. Carretero , C. L. Chang , H-M. Cho , R. Chown , A. T. Crites , C. E. Cunha , L. N. da Costa , S. Desai , H. T. Diehl , J. P. Dietrich , M. A. Dobbs , P. Doel , W. B. Everett , A. E. Evrard , B. Flaugher , P. Fosalba , J. García-Bellido , E. Gaztanaga , E. M. George , D. W. Gerdes , T. Giannantonio , R. A. Gruendl , J. Gschwend , G. Gutierrez , T. de Haan , N. W. Halverson , N. L. Harrington , W. L. Holzapfel , K. Honscheid , Z. Hou , J. D. Hrubes , D. J. James , T. Jeltema , L. Knox , R. Kron , K. Kuehn , N. Kuropatkin , O. Lahav , A. T. Lee , E. M. Leitch , M. Lima , D. Luong-Van , M. A. G. Maia , A. Manzotti , D. P. Marrone , J. L. Marshall , J. J. McMahon , P. Melchior , F. Menanteau , S. S. Meyer , C. J. Miller , L. M. Mocanu , J. J. Mohr , T. Natoli , S. Padin , A. A. Plazas , C. Pryke , A. K. Romer , A. Roodman , J. E. Ruhl , E. S. Rykoff , E. Sanchez , J. T. Sayre , V. Scarpine , K. K. Schaffer , S. Serrano , I. Sevilla-Noarbe , E. Shirokoff , G. Simard , M. Smith , M. Soares-Santos , F. Sobreira , Z. Staniszewski , A. A. Stark , K. T. Story , E. Suchyta , M. E. C. Swanson , G. Tarle , D. Thomas , K. Vanderlinde , J. D. Vieira , V. Vikram , A. R. Walker , J. Weller , R. Williamson , O. Zahn

This review surveys some recent developments concerning the effect of the cosmological constant on the bending of light by a spherical mass in Kottler (Schwarzchild-de Sitter) spacetime. Some proposals of how such an effect may be put into…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-01 Mustapha Ishak , Wolfgang Rindler

We derive the deflection angle up to $O(m^2a)$ due to a Kerr gravitational lens with mass $m$ and specific angular momentum $a$. It is known that at the linear order in $m$ and $a$ the Kerr lens is observationally equivalent to the…

Astrophysics · Physics 2009-11-07 Hideki Asada , Masumi Kasai , Tatsuya Yamamoto

In this paper, we revisit the weak gravitational lensing of CMB. The key point is that the deflection angle of CMB photon varies with the redshift. From this we obtain a set of modified power spectra. Compared with the ones calculated…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-11 B. Yu , T. Lu

The gravitational lensing of gravitational waves should be treated in the wave optics instead of the geometrical optics when the wave length $\lambda$ of the gravitational waves is larger than the Schwarzschild radius of the lens mass $M$.…

Astrophysics · Physics 2009-11-10 Ryuichi Takahashi

We revisit the effect of cosmological constant $\Lambda$ on the light deflection and its role in the cosmological lens equation. First, we re-examine the motion of photon in the Schwarzschild spacetime, and explicitly describe the…

General Relativity and Quantum Cosmology · Physics 2012-02-06 Hideyoshi Arakida , Masumi Kasai

Gravitational lensing allows us to probe the structure of matter on a broad range of astronomical scales, and as light from a distant source traverses an intervening galaxy, compact matter such as planets, stars, and black holes act as…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-09 Hugh Garsden , Geraint F. Lewis

The orbital Lense-Thirring precession is considered in the context of constraints for weak-field General Relativity involving the cosmological constant $\Lambda$. It is shown that according to the current accuracy of satellite measurements…

General Relativity and Quantum Cosmology · Physics 2020-10-06 A. Stepanian , Sh. Khlghatyan

Gravitational lensing of the cosmic microwave background (CMB) polarization field has been recognized as a potentially valuable probe of the cosmological density field. We apply likelihood-based techniques to the problem of lensing of CMB…

Astrophysics · Physics 2011-06-21 Christopher M. Hirata , Uros Seljak

We calculate corrections to the power spectrum predictions of weak lensing by large scale structure due to higher order effects in the gravitational potential. Using a perturbative approach to third order in transverse displacements, we…

Astrophysics · Physics 2011-05-12 Asantha Cooray , Wayne Hu

This paper analyses the relativistic stellar aberration requirements for the Space Interferometry Mission (SIM). We address the issue of general relativistic deflection of light by the massive self-gravitating bodies. Specifically, we…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev

Gravitational lensing by a spinning deflector in translational motion relative to the observer is discussed in the weak field, slow motion approximation. The effect of rotation, which generates an intrinsic gravito-magnetic field, separates…

Astrophysics · Physics 2009-11-10 M. Sereno