Gravitational lensing by spherically symmetric lenses with angular momentum

Sereno, Mauro; Cardone, V. F.

doi:10.1051/0004-6361:20021356

Cited by 20 publications

(62 citation statements)

References 14 publications

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“…This is of particular significance because it would enable us to derive information from such observations about the inner structure of lenses beyond their mass and momentum. The same scaling for point mass lenses was found by Sereno [15] and later generalized for other mass distributions in [16].…”

Section: Introductionsupporting

confidence: 77%

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Deflection of light and particles by moving gravitational lenses

2004

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Various authors have investigated the problem of light deflection by radially moving gravitational lenses, but the results presented so far do not appear to agree on the expected deflection angles. Some publications claim a scaling of deflection angles with 1 − v to first order in the radial lens velocity v, while others obtained a scaling with 1 − 2v. In this paper we generalize the calculations for arbitrary lens velocities and show that the first result is the correct one. We discuss the seeming inconsistency of relativistic light deflection with the classical picture of moving test particles by generalizing the lens effect to test particles of arbitrary velocity, including light as a limiting case. We show that the effect of radial motion of the lens is very different for slowly moving test particles and light and that a critical test particle velocity exists for which the motion of the lens has no effect on the deflection angle to first order. An interesting and not immediately intuitive result is obtained in the limit of a highly relativistic motion of the lens towards the observer, where the deflection angle of light reduces to zero. This phenomenon is elucidated in terms of moving refractive media. Furthermore, we discuss the dragging of inertial frames in the field of a moving lens and the corresponding Lense-Thirring precession, in order to shed more light on the geometrical effects in the surroundings of a moving mass. In a second part we discuss the effect of transversal motion on the observed redshift of lensed sources. We demonstrate how a simple kinematic calculation explains the effects for arbitrary velocities of the lens and test particles. Additionally we include the transversal motion of the source and observer to show that all three velocities can be combined into an effective relative transversal velocity similar to the approach used in microlensing studies.

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Section: Introductionsupporting

confidence: 77%

“…Note that this also affects the ensuing results published in [14,16] which generalize to mass distributions other than point masses. Both these groups exclusively use light as test particles, work in a FOV approximation and use essentially the same approach as Schneider et al [4] in formulating the problem.…”

Section: E Comparison With Previous Resultsmentioning

confidence: 99%

Deflection of light and particles by moving gravitational lenses

2004

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“…which are in accordance with that given by Sereno& Cardone in the framework of general relativity [11].…”

Section: Higher-order Gravitational Lenssupporting

confidence: 92%

“…Fernando and Roberts investigated the lensing effects of a spherically symmetric electrically charged black hole using thin lens equations [5]. In particular, the deflection of light by stars with Y. Chen (B) · Z. Chen · J. Wang School of Physics and Electronic Technology, Hubei University, Wuhan, Hubei, 430062, China e-mail: cyhan24 @21cn.com angular momentum has been investigated by several authors with very different approaches [6][7][8][9][10][11]. But, most studies of gravitational lensing have been doing in the context of general relativity or of the parameterized post-Newtonian approximation of gravitational theories.…”

Section: Introductionmentioning

confidence: 99%

Deflection in higher-order gravitational lensing

Chen

Wang

2007

Gen Relativ Gravit

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“…The leading parameter for such correction is the ratio v / c which, in several physical cases cannot be simply discarded. For a detailed discussion see for example [120][121][122][123]. A part the standard periastron precession effects, such terms induce nutations and are capable of affecting the stability basin of the orbital phase space.…”

Section: Discussion Conclusion and Perspectivesmentioning

confidence: 99%

The Newtonian and Relativistic Theory of Orbits and the Emission of Gravitational Waves

Laurentis¹

2009

TOAAJ

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This review paper is devoted to the theory of orbits. We start with the discussion of the Newtonian problem of motion then we consider the relativistic problem of motion, in particular the post-Newtonian (PN) approximation and the further gravitomagnetic corrections. Finally by a classification of orbits in accordance with the conditions of motion, we calculate the gravitational waves luminosity for different types of stellar encounters and orbits.

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Gravitational lensing by spherically symmetric lenses with angular momentum

Abstract: Abstract. Following Sereno (2002a), we discuss the bending of light rays by spherically symmetric lenses with angular momentum. For several astrophysical systems, such as white dwarfs and galaxies, gravitomagnetism induces a correction on the deflection angle as large as 0.1%.

Cited by 20 publications

References 14 publications

Deflection of light and particles by moving gravitational lenses

Deflection of light and particles by moving gravitational lenses

Deflection in higher-order gravitational lensing

The Newtonian and Relativistic Theory of Orbits and the Emission of Gravitational Waves

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