{"knowledge_schema": {"broad_category": "Physics \u2192 Theoretical Physics \u2192 Gravity Theories", "refinement": "This problem pertains to the field equations derived from a specific action in a gravity theory that incorporates non-metricity, specifically symmetric teleparallel gravity.", "specific_scope": "The focus is on varying the action with respect to the metric tensor to obtain the resulting field equations, which relate the geometry of spacetime to the matter content through the energy-momentum tensor.", "goal": "Identify the correct form of the field equation resulting from the variation of the given action with respect to the metric."}, "summary": "In this problem, we are dealing with a gravity theory that includes non-metricity, and we need to derive the field equations from the action provided. By varying the action with respect to the metric tensor, we arrive at a specific form of the field equation that relates the geometric properties of spacetime to the matter content. The correct answer is the fourth option, which accurately represents the resulting field equation after performing the variation."}