Investigating Graviton Mass Effects on Black Hole Lensing in dRGT Massive Gravity

Fuente: arXiv
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Auteurs principaux: Abdusattar, Haximjan, Han, Yu-Xuan, Rusul, Abdujappar, Kong, Shi-Bei
Format: Preprint
Publié: 2025
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author Abdusattar, Haximjan
Han, Yu-Xuan
Rusul, Abdujappar
Kong, Shi-Bei
author_facet Abdusattar, Haximjan
Han, Yu-Xuan
Rusul, Abdujappar
Kong, Shi-Bei
contents In this paper, we delve into the gravitational lensing and photon trajectories in the vicinity of non-asymptotically flat black hole spacetimes within the framework of dRGT massive gravity, incorporating a non-zero graviton mass. We assume that both the observer and the light source are located at a finite distance from the lens object, and calculate the gravitational deflection angle of light ray by such a black hole based on Gauss-Bonnet theorem. Furthermore, we derive the angular radius of Einstein rings associated with black holes in dRGT massive gravity, thereby facilitating a comprehensive discussion on the ramifications of the graviton mass. Notably, our findings reveal pronounced impacts of the graviton mass on both light deflection angles and Einstein ring characteristics, underscoring its significance in dRGT massive gravity and enhancing the detectability of black holes in gravitational lensing observations, thereby opening new avenues for future research.
format Preprint
id arxiv_https___arxiv_org_abs_2505_03386
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Investigating Graviton Mass Effects on Black Hole Lensing in dRGT Massive Gravity
Abdusattar, Haximjan
Han, Yu-Xuan
Rusul, Abdujappar
Kong, Shi-Bei
General Relativity and Quantum Cosmology
In this paper, we delve into the gravitational lensing and photon trajectories in the vicinity of non-asymptotically flat black hole spacetimes within the framework of dRGT massive gravity, incorporating a non-zero graviton mass. We assume that both the observer and the light source are located at a finite distance from the lens object, and calculate the gravitational deflection angle of light ray by such a black hole based on Gauss-Bonnet theorem. Furthermore, we derive the angular radius of Einstein rings associated with black holes in dRGT massive gravity, thereby facilitating a comprehensive discussion on the ramifications of the graviton mass. Notably, our findings reveal pronounced impacts of the graviton mass on both light deflection angles and Einstein ring characteristics, underscoring its significance in dRGT massive gravity and enhancing the detectability of black holes in gravitational lensing observations, thereby opening new avenues for future research.
title Investigating Graviton Mass Effects on Black Hole Lensing in dRGT Massive Gravity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2505.03386