Exact charged black-hole solutions in D-dimensional f(T) gravity: torsion vs curvature analysis

Understand

We extract exact charged black-hole solutions with flat transverse sections in the framework of D-dimensional Maxwell-f(T) gravity, and we analyze the singularities and horizons based on both torsion and curvature invariants.

• Interestingly enough, we find that in some particular solution subclasses there appear more singularities in the curvature scalars than in the torsion ones.
• This difference disappears in the uncharged case, or in the case where f(T) gravity becomes the usual linear-in-T teleparallel gravity, that is General Relativity.
• Curvature and torsion invariants behave very differently when matter fields are present, and thus f(R) gravity and f(T) gravity exhibit different features and cannot be directly re-casted each other.