Weak gravity conjecture validation with photon spheres of quantum corrected Reissner–Nordstrom–AdS black holes in Kiselev spacetime

Abstract In this study, we investigate the Weak Gravity Conjecture (WGC) in the context of quantum-corrected Reissner–Nordstrom–AdS (RN-AdS) black holes within Kiselev spacetime. Our focus is on photon spheres, which serve as markers for stable and unstable photon spheres. We confirm the validity of...

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Main Authors: Mohammad Reza Alipour, Mohammad Ali S. Afshar, Saeed Noori Gashti, Jafar Sadeghi
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13857-z
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author Mohammad Reza Alipour
Mohammad Ali S. Afshar
Saeed Noori Gashti
Jafar Sadeghi
author_facet Mohammad Reza Alipour
Mohammad Ali S. Afshar
Saeed Noori Gashti
Jafar Sadeghi
author_sort Mohammad Reza Alipour
collection DOAJ
description Abstract In this study, we investigate the Weak Gravity Conjecture (WGC) in the context of quantum-corrected Reissner–Nordstrom–AdS (RN-AdS) black holes within Kiselev spacetime. Our focus is on photon spheres, which serve as markers for stable and unstable photon spheres. We confirm the validity of the WGC by demonstrating that quantum corrections do not alter the essential charge-to-mass ratio, thereby supporting the conjecture’s universality. Our analysis reveals that black holes with a charge greater than their mass $$(Q > M)$$ ( Q > M ) possess photon spheres or exhibit a total topological charge of the photon sphere $$(\text {PS} = -1),$$ ( PS = - 1 ) , which upholds the WGC. This finding is significant as it reinforces the conjecture’s applicability even in the presence of quantum corrections. Furthermore, we examine various parameter configurations to understand their impact on the WGC. Specifically, we find that configurations with $$\omega = -\frac{1}{3}$$ ω = - 1 3 and $$\omega = -1$$ ω = - 1 maintain the conjecture, indicating that these values do not disrupt the charge-to-mass ratio required by the WGC. However, for $$\omega = -\frac{4}{3},$$ ω = - 4 3 , the conjecture does not hold, suggesting that this particular parameter value leads to deviations from the expected behavior. These results open new directions for research in quantum gravity, as they highlight the importance of specific parameter values in maintaining the WGC. The findings suggest that while the WGC is robust under certain conditions, there are scenarios where it may be challenged, prompting further investigation into the underlying principles of quantum gravity.
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spelling doaj-art-58eabd6a3be1434c82b64d1c169a80e52025-02-09T12:51:43ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-02-0185211110.1140/epjc/s10052-025-13857-zWeak gravity conjecture validation with photon spheres of quantum corrected Reissner–Nordstrom–AdS black holes in Kiselev spacetimeMohammad Reza Alipour0Mohammad Ali S. Afshar1Saeed Noori Gashti2Jafar Sadeghi3Department of Physics, Faculty of Basic Sciences, University of MazandaranDepartment of Physics, Faculty of Basic Sciences, University of MazandaranSchool of Physics, Damghan UniversityDepartment of Physics, Faculty of Basic Sciences, University of MazandaranAbstract In this study, we investigate the Weak Gravity Conjecture (WGC) in the context of quantum-corrected Reissner–Nordstrom–AdS (RN-AdS) black holes within Kiselev spacetime. Our focus is on photon spheres, which serve as markers for stable and unstable photon spheres. We confirm the validity of the WGC by demonstrating that quantum corrections do not alter the essential charge-to-mass ratio, thereby supporting the conjecture’s universality. Our analysis reveals that black holes with a charge greater than their mass $$(Q > M)$$ ( Q > M ) possess photon spheres or exhibit a total topological charge of the photon sphere $$(\text {PS} = -1),$$ ( PS = - 1 ) , which upholds the WGC. This finding is significant as it reinforces the conjecture’s applicability even in the presence of quantum corrections. Furthermore, we examine various parameter configurations to understand their impact on the WGC. Specifically, we find that configurations with $$\omega = -\frac{1}{3}$$ ω = - 1 3 and $$\omega = -1$$ ω = - 1 maintain the conjecture, indicating that these values do not disrupt the charge-to-mass ratio required by the WGC. However, for $$\omega = -\frac{4}{3},$$ ω = - 4 3 , the conjecture does not hold, suggesting that this particular parameter value leads to deviations from the expected behavior. These results open new directions for research in quantum gravity, as they highlight the importance of specific parameter values in maintaining the WGC. The findings suggest that while the WGC is robust under certain conditions, there are scenarios where it may be challenged, prompting further investigation into the underlying principles of quantum gravity.https://doi.org/10.1140/epjc/s10052-025-13857-z
spellingShingle Mohammad Reza Alipour
Mohammad Ali S. Afshar
Saeed Noori Gashti
Jafar Sadeghi
Weak gravity conjecture validation with photon spheres of quantum corrected Reissner–Nordstrom–AdS black holes in Kiselev spacetime
European Physical Journal C: Particles and Fields
title Weak gravity conjecture validation with photon spheres of quantum corrected Reissner–Nordstrom–AdS black holes in Kiselev spacetime
title_full Weak gravity conjecture validation with photon spheres of quantum corrected Reissner–Nordstrom–AdS black holes in Kiselev spacetime
title_fullStr Weak gravity conjecture validation with photon spheres of quantum corrected Reissner–Nordstrom–AdS black holes in Kiselev spacetime
title_full_unstemmed Weak gravity conjecture validation with photon spheres of quantum corrected Reissner–Nordstrom–AdS black holes in Kiselev spacetime
title_short Weak gravity conjecture validation with photon spheres of quantum corrected Reissner–Nordstrom–AdS black holes in Kiselev spacetime
title_sort weak gravity conjecture validation with photon spheres of quantum corrected reissner nordstrom ads black holes in kiselev spacetime
url https://doi.org/10.1140/epjc/s10052-025-13857-z
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