TeV-scale gravity at the LHC, and the way forward in an era lacking significant excesses

Abstract: The hierarchy problem and the irreconcilability of quantum mechanics and general relativity are two of the most frustrating problems that the Standard Model fails to solve.  The existence of extra dimensions, however, would provide the much awaited solutions.  If extra dimensions exist and push the Planck scale down to the TeV range, signatures of extra dimensions could be found at the Large Hadron Collider in Geneva, Switzerland. Results of TeV-scale gravity searches with the ATLAS and CMS detectors at 13 TeV are summarized, and outlook is provided on the best way forward in the absence of discoveries.