2023/12/22 by G. G. L. Nashed, Nashed, G. G. L. · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #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.2312.14451
openalex publication_date 2023/12/22 · openalex created_date 2023/12/26 · openalex updated_date 2026/07/28
Due to the absence of spherically symmetric black hole solutions in f(ℚ) because of the constraint derived from its field equations, which yields either ℚ=0 or fℚ ℚ=0 \citeHeisenberg:2023lru,Maurya:2023muz. We are going to introduce a tours solutions for charged anti-de-Sitter black holes in N-dimensions within the framework of the quadratic form of f(ℚ) gravity, where the coincident gauge condition is applied \citeHeisenberg:2023lru. Here, f(ℚ)=ℚ+\frac12αℚ2-2Λ, and the condition N ≥ 4 is satisfied. These black hole solutions exhibit flat or cylindrical horizons as their distinctive features. An intriguing aspect of these black hole solutions lies in the coexistence of electric monopole and quadrupole components within the potential field, which are indivisible and exhibit interconnected momenta. This sets them apart from the majority of known charged solutions in the linear form of the non-metricity theory and its extensions. Moreover, the curvature singularities in these solutions are less severe compared to those found in known charged black hole solutions within the characteristic can be demonstrated by computing certain invariants of the curvature and non-metricity tensors. Finally, we calculate thermodynamic parameters, including entropy, Hawking temperature, and Gibbs free energy. These thermodynamic computations affirm the stability of our model.