Reconciling the Weak Gravity and Weak Cosmic Censorship Conjectures in Einstein-Euler-Heisenberg-AdS Black Holes

2025/04/04 by Mohammad Reza Alipour, Saeed Noori Gashti, Alipour, Mohammad Reza +5 · 3 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2504.03453

openalex publication_date 2025/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The potential conflict between the Weak Gravity Conjecture (WGC) and the Weak Cosmic Censorship Conjecture (WCCC) poses a significant challenge in general relativity. The WCCC serves as a fundamental assumption ensuring the coherence of gravitational theory. This study investigates the reconciliation of the WGC and the WCCC by examining Einstein-Euler-Heisenberg-AdS black holes in four-dimensional spacetime. By imposing specific constraints on the metric parameters, we demonstrate that the WGC and the WCCC can coexist harmoniously. Detailed analyses of Einstein-Euler-Heisenberg-AdS black holes for \( Q > M \) validate the simultaneous fulfillment of the two conjectures, particularly in scenarios where \( q²/m² ≥ (Q² / M²)_e \). The electromagnetic self-interaction parameter \( μ\) plays a crucial role in achieving this compatibility. Our findings establish that Einstein-Euler-Heisenberg-AdS black holes provide a robust framework for harmonizing the WGC and the WCCC. In particular, for exceedingly small values of (μ)-or, equivalently, when the condition (μ≪ ℓ) is satisfied-the structure of our black hole transitions in a way that distinctly reveals its compatibility with the WGC. This study also explores the compatibility of the WGC and the WCCC with photon spheres. It examines parameter spaces that satisfy both conjectures, ensuring event horizons and photon spheres while maintaining black hole properties. Key results demonstrate that small \( μ\) values preserve WCCC adherence and validate WGC through photon sphere characteristics.

Cited by

• Beyond Extremality: Weak Gravity Conjecture Constraints on Gravitational Lensing in Gravity's Rainbow
• Probing the Weak Gravity Conjecture: Novel Aschenbach Signatures in Superextremal Non-Linear Charged AdS Black Holes
• Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications

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