Gravitational lens on de Sitter background

Takizawa, Keita; Asada, Hideki

doi:10.1103/physrevd.105.084022

Cited by 5 publications

(3 citation statements)

References 46 publications

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“…a physical distance D in a spherical and a hyperbolic background are given by D = D/ √ Kopt and D = D/ √ − Kopt , respectively for a non-dimensional distance D which is rescaled by a curvature radius of a background space), the gravitational lens equations taking account of the background geometry is found in Eq. (72) in Reference [9] α…”

Section: B Exact Lens Equation On Occ Backgroundmentioning

confidence: 99%

“…One example is de Sitter (or AdS) metric. This has been recently investigated [9]. Another interesting example is the massless case of the Mannheim-Kazanas (MK) metric in conformal Weyl gravity [12].…”

Section: A Occ Backgroundmentioning

confidence: 99%

“…The exact gravitational lens equation on the de-Sitter (dS) or anti-de Sitter (AdS) background has been recently discussed by using the optical geometry that is developed on the basis of the null condition for light-like signals [9]. This novel formulation is based on the hyperbolic/spherical trigonometry [10,11] for dS/AdS background.…”

Section: Introductionmentioning

confidence: 99%

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Gravitational lens without asymptotic flatness: Its application to Weyl gravity

2020

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We describe the gravitational lens on a constant-curvature background by using an optical constant-curvature (OCC) approach that allows to explicitly take into account a global geometry of the background space. First, light rays are curves in the space described by an optical metric. The OCC approach focuses on the case that the optical metric for the background spacetime has a constant curvature, for which the exact lens equation on an OCC background [Phys. Rev. D 105, 084022 (2022)] can be used. As a concrete example, next we discuss the gravitatinal lens in Mannheim-Kazanas (MK) solution, which include Rindler and de Sitter terms. By fully taking into account a background dependence of the light deflection, the deflection angle of light consistent with the OCC approach is well defined at large distance. In the OCC approach, finally, we examine the global behavior of the deflection angle and the gravitational lens observables in the Weyl gravity.

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Section: B Exact Lens Equation On Occ Backgroundmentioning

confidence: 99%

Section: A Occ Backgroundmentioning

confidence: 99%

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Gravitational lens without asymptotic flatness: Its application to Weyl gravity

2020

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Probing dark fluids and modified gravity with gravitational lensing

Perivolaropoulos

Antoniou

Papadopoulos

2023

Monthly Notices of the Royal Astronomical Society

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We generalize the Rindler-Ishak (2007) result for the lensing deflection angle in a SdS spacetime, to the case of a general spherically symmetric fluid beyond the cosmological constant. We thus derive an analytic expression to first post-Newtonian order for the lensing deflection angle in a general static spherically symmetric metric of the form $ds^2 = f(r)dt^{2} -\frac{dr^{2}}{f(r)}-r^{2}(d\theta ^2 +\sin ^2 \theta d\phi ^2)$ with $f(r) = 1 - \frac{2m}{r}-\sum _{i} b_i\,\, r_0^{-q_i}\,\, \left( \frac{r_0}{r}\right)^{q_i}$ where r0 is the lensing impact parameter, $b_i\ll r_0^{q_i}$, m is the mass of the lens and qi are real arbitrary constants related to the properties of the fluid that surrounds the lens or to modified gravity. This is a generalization of the well known Kiselev black hole metric. The approximate analytic expression of the deflection angle is verified by an exact numerical derivation and in special cases it reduces to results of previous studies. The density and pressure of the spherically symmetric fluid that induces this metric is derived in terms of the constants bi. The Kiselev case of a Schwarzschild metric perturbed by a general spherically symmetric dark fluid (eg vacuum energy) is studied in some detail and consistency with the special case of Rindler Ishak result is found for the case of a cosmological constant background. Observational data of the Einstein radii from distant clusters of galaxies lead to observational constraints on the constants bi and through them on the density and pressure of dark fluids, field theories or modified gravity theories that could induce this metric.

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Gravitational lensing in a universe with matter and a cosmological constant

Bessa

Piattella

2022

Phys. Rev. D

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Gravitational lens on de Sitter background

Cited by 5 publications

References 46 publications

Gravitational lens without asymptotic flatness: Its application to Weyl gravity

Gravitational lens without asymptotic flatness: Its application to Weyl gravity

Probing dark fluids and modified gravity with gravitational lensing

Gravitational lensing in a universe with matter and a cosmological constant

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