Light deflection and gravitational lensing effects in acoustic black-bounce spacetime

Fuente: arXiv
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Main Authors: Pereira, C. F. S., Soares, A. R., Silva, M. V. de S., Vitória, R. L. L., Belich, H.
Format: Preprint
Published: 2025
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author Pereira, C. F. S.
Soares, A. R.
Silva, M. V. de S.
Vitória, R. L. L.
Belich, H.
author_facet Pereira, C. F. S.
Soares, A. R.
Silva, M. V. de S.
Vitória, R. L. L.
Belich, H.
contents In the present work, we analyze the gravitational deflection for a light beam in the weak and strong field regimes for the gravitational analogue geometry of an acoustic black hole (ABH) and acoustic black-bounce (ABB). Motivationally, the first spacetime arises as an exact solution of the field equations for gravitational black holes (BHs) in an Einstein-scalar-Gauss-Bonnet theory (EsGB) \cite{3}. In contrast, the second model arises from the combination of phantom scalar field and nonlinear electrodynamics in general relativity (GR) \cite{INTRO24}. We construct analytical expressions for the angular deflection of light in both limits and, from them, analyze the construction of the observables, which allow us to relate theoretical models to observational data. We compare these observables and show how much they differ from those obtained in the Schwarzschild solution.
format Preprint
id arxiv_https___arxiv_org_abs_2505_12577
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Light deflection and gravitational lensing effects in acoustic black-bounce spacetime
Pereira, C. F. S.
Soares, A. R.
Silva, M. V. de S.
Vitória, R. L. L.
Belich, H.
General Relativity and Quantum Cosmology
In the present work, we analyze the gravitational deflection for a light beam in the weak and strong field regimes for the gravitational analogue geometry of an acoustic black hole (ABH) and acoustic black-bounce (ABB). Motivationally, the first spacetime arises as an exact solution of the field equations for gravitational black holes (BHs) in an Einstein-scalar-Gauss-Bonnet theory (EsGB) \cite{3}. In contrast, the second model arises from the combination of phantom scalar field and nonlinear electrodynamics in general relativity (GR) \cite{INTRO24}. We construct analytical expressions for the angular deflection of light in both limits and, from them, analyze the construction of the observables, which allow us to relate theoretical models to observational data. We compare these observables and show how much they differ from those obtained in the Schwarzschild solution.
title Light deflection and gravitational lensing effects in acoustic black-bounce spacetime
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2505.12577