Teleparallel <em>F</em>(<em>T</em>) Electromagnetic Static Spherically Symmetric Spacetime Solutions

In this work, we investigate static, spherically symmetric spacetimes with radial coordinate dependence in the framework of teleparallel F(T) gravity, in the presence of scalar and electromagnetic sources. We begin by formulating the covariant field equations (FEs) and deriving the associated conservation laws (CLs), which constrain the admissible scalar field potentials and allow for a systematic simplification of the FEs. A general reconstruction formula is then obtained, enabling the determination of new teleparallel F(T) solutions for arbitrary scalar field potentials and coframe ansätze. By adopting a power-law coframe ansatz, we derive several classes of exact and non-trivial solutions associated with different scalar potential configurations arising from the CLs. These solution families provide a unified framework to explore physically relevant models, including those related to Born–Infeld-type theories and scalarized black hole configurations within dark energy scenarios driven by fundamental scalar fields such as quintessence, phantom, and quintom models. Finally, we extend the analysis to include electromagnetic sources and obtain new exact charged solutions together with their associated horizon structures, highlighting the richness of the solution space in F(T) gravity and its potential relevance for modified gravity phenomenology and compact object physics.