Strong Gravitational Lensing in the Einstein-Proca Theory
Guoping Li, Yan Zhang, Li Zhang, Zhongwen Feng, Xiaotao Zu

TL;DR
This paper explores how strong gravitational lensing behaves in Einstein-Proca theory using the strong field limit approach, providing observable predictions that can test the theory's validity.
Contribution
It introduces a method to analyze strong gravitational lensing in Einstein-Proca spacetime and derives observable quantities for potential empirical verification.
Findings
Calculated the innermost relativistic image position
Derived the deflection angle in Einstein-Proca spacetime
Estimated flux ratios for strong lensing scenarios
Abstract
Adopting the strong field limit approach, we investigate the strong gravitational lensing of a spherically symmetric spacetime in the Einstein-Proca theory. With the strong field limit coefficient, three observable quantities are obtained, which are the innermost relativistic image, the deflection angle and the ratio of the flux. Comparing the observable value and the theoretical value of the strong gravitational lensing, we can verify the effectiveness of the strong gravitational lensing model.
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