Optical properties of null geodesics emerging from dynamical systems

D. Batic; S. Chanda; P. Guha

doi:10.1140/epjc/s10052-022-10392-z

Optical properties of null geodesics emerging from dynamical systems

D. Batic, S. Chanda, P. Guha

Mathematics

International Center for Theoretical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We study optical metrics via null geodesics as a central force system, deduce the related Binet equation and apply the analysis to certain solutions of Einstein’s equations with and without spherical symmetry. A general formula for the deflection angle in the weak lensing regime for the Schwarzschild-Tangherlini (ST) metric is derived. In addition, we obtain a new weak lensing formula for the deflection angle on the equatorial plane of a Kerr black hole (BH). We also explore the bending of light by considering the gravitational objects described by the Tomimatsu–Sato (TS) metric.

Original language	British English
Article number	422
Journal	European Physical Journal C
Volume	82
Issue number	5
DOIs	https://doi.org/10.1140/epjc/s10052-022-10392-z
State	Published - May 2022

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title = "Optical properties of null geodesics emerging from dynamical systems",

abstract = "We study optical metrics via null geodesics as a central force system, deduce the related Binet equation and apply the analysis to certain solutions of Einstein{\textquoteright}s equations with and without spherical symmetry. A general formula for the deflection angle in the weak lensing regime for the Schwarzschild-Tangherlini (ST) metric is derived. In addition, we obtain a new weak lensing formula for the deflection angle on the equatorial plane of a Kerr black hole (BH). We also explore the bending of light by considering the gravitational objects described by the Tomimatsu–Sato (TS) metric.",

author = "D. Batic and S. Chanda and P. Guha",

note = "Funding Information: Work by the author PG was supported by the Khalifa University of Science and Technology under Grant number FSU-2021-014. We are grateful to the anonymous referee for his/her comments that helped to improve the present work. Publisher Copyright: {\textcopyright} 2022, The Author(s).",

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doi = "10.1140/epjc/s10052-022-10392-z",

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AU - Batic, D.

AU - Chanda, S.

AU - Guha, P.

N1 - Funding Information: Work by the author PG was supported by the Khalifa University of Science and Technology under Grant number FSU-2021-014. We are grateful to the anonymous referee for his/her comments that helped to improve the present work. Publisher Copyright: © 2022, The Author(s).

PY - 2022/5

Y1 - 2022/5

N2 - We study optical metrics via null geodesics as a central force system, deduce the related Binet equation and apply the analysis to certain solutions of Einstein’s equations with and without spherical symmetry. A general formula for the deflection angle in the weak lensing regime for the Schwarzschild-Tangherlini (ST) metric is derived. In addition, we obtain a new weak lensing formula for the deflection angle on the equatorial plane of a Kerr black hole (BH). We also explore the bending of light by considering the gravitational objects described by the Tomimatsu–Sato (TS) metric.

AB - We study optical metrics via null geodesics as a central force system, deduce the related Binet equation and apply the analysis to certain solutions of Einstein’s equations with and without spherical symmetry. A general formula for the deflection angle in the weak lensing regime for the Schwarzschild-Tangherlini (ST) metric is derived. In addition, we obtain a new weak lensing formula for the deflection angle on the equatorial plane of a Kerr black hole (BH). We also explore the bending of light by considering the gravitational objects described by the Tomimatsu–Sato (TS) metric.

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SN - 1434-6044

VL - 82

JO - European Physical Journal C

JF - European Physical Journal C

IS - 5

M1 - 422

ER -

Optical properties of null geodesics emerging from dynamical systems

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