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Strong Gravitational Lensing by Static Black Holes in Effective Quantum Gravity

2024/10/16 by Yiyang Wang, Amnish Vachher, Wang, Yiyang +7 · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.2410.12382

openalex publication_date 2024/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate strong gravitational lensing by two static black hole models (Model-1 and Model-2) within the Effective Quantum Gravity (EQG) framework, characterized by mass M and parameter ζ. For ζ= 0, they reduce to the Schwarzschild solution, and depending on the parameters, they describe black holes with an event and Cauchy horizon (Model-1), a single horizon (Model-2), or no horizons. Using SMBHs Sgr A* and M87* as lenses and integrating theoretical predictions with recent EHT data, we identify significant differences in lensing signatures due to quantum corrections. For Model-1, the deviations of the lensing observables: |δθ| of black holes in EQG from Schwarzschild black hole, for SMBHs Sgr A* and M87, can reach as much as 1.75~μas and 1.32~μas, while |δs| is about 30.12~nas for Sgr A* and 22.63~nas for M87*. The flux ratio of the first image to all subsequent packed images indicates that EQG black hole images are brighter than their Schwarzschild counterparts, with a deviation in the brightness ratio |δrmag| reaching up to 2.02. The time delays between the second and first images, denoted |δT2,1|, exhibit substantial deviations from the GR counterpart, reaching up to 1.53 min for Sgr A* and 1159.9 min for M87*. The EHT constraints on θsh of Sgr A* and M87* within the 1σ region limit the parameters ζ. Our analysis concludes that EQG black holes are consistent with the EHT observations within this finite space.

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