Solutions with a Flat Horizon in D Dimensions within the Cubic Form of f(Q) Gravity
Document Type
Article
Publication Date
2-2024
Abstract
Given the AdS/CFT relationship, the study of higher-dimensional AdS black holes is extremely important. Furthermore, since the restriction derived from (Formula presented.) ’s field equations prevents it from deriving spherically symmetric black hole solutions, the result is either (Formula presented.) or (Formula presented.). Utilizing the cylindrical coordinate system within the context the cubic form of (Formula presented.) theory while imposing the condition of a coincident gauge, we establish the existence of static solutions in D-dimensions. The power-law ansatz, which is the most practical based on observations, will be used in this study, where (Formula presented.) and the condition (Formula presented.) are met. These solutions belong to a new solution class, the properties of which are derived only from the non-metricity Q modification, since they do not have a general relativity limit. We examine the singularities present in the solutions by calculating the non-metricity and curvature invariant values. In conclusion, we compute thermodynamic parameters such as Gibbs free energy, Hawking temperature, and entropy. These thermodynamic calculations confirm that our model is stable.
Recommended Citation
Nashed, Gamal, "Solutions with a Flat Horizon in D Dimensions within the Cubic Form of f(Q) Gravity" (2024). Centre for Theoretical Physics and Computations. 275.
https://buescholar.bue.edu.eg/centre_theoretical_physics/275