# Rotating charged AdS solutions in quadratic $f(T)$ gravity

## TL;DR

This paper introduces new rotating charged black hole solutions in higher-dimensional quadratic $f(T)$ gravity with anti-de Sitter asymptotics, extending previous GR solutions and analyzing their physical properties and singularities.

## Contribution

It presents the first class of asymptotically AdS charged rotating black holes in quadratic $f(T)$ gravity, generalizing known solutions and exploring their physical characteristics.

## Key findings

- Solutions have milder singularities than in GR.
- Static solutions exhibit two electric multipole moments.
- Total mass and angular momentum are explicitly calculated.

## Abstract

We present a class of asymptotically anti-de Sitter charged rotating black hole solutions in $f(T)$ gravity in $N$-dimensions, where $f(T)=T+\alpha T^{2}$. These solutions are nontrivial extensions of the solutions presented in \cite{Lemos:1994xp} and \cite{Awad:2002cz} in the context of general relativity. They are characterized by cylindrical, toroidal or flat horizons, depending on global identifications. The static charged black hole configurations obtained in \cite{Awad:2017tyz} are recovered as special cases when the rotation parameters vanish. Similar to \cite{Awad:2017tyz} the static black holes solutions have two different electric multipole terms in the potential with related moments. Furthermore, these solutions have milder singularities compared to their general relativity counterparts. Using the conserved charges expressions obtained in \cite{Ulhoa:2013gca} and \cite{Maluf:2008ug} we calculate the total mass/energy and the angular momentum of these solutions.