I'm sorry, but the knowledge sources do not indicate that Ory Network or Ory Keto supports querying relationships using pattern matching (such as SQL-like wildcards or regular expressions) on the object field. The documented APIs for listing relationships (e.g., the REST endpoint GET /relation-tuples) allow you to filter by exact values for fields like namespace, object, relation, and subject, but there is no mention of support for partial matches or pattern-based queries. All examples and parameter descriptions refer to exact matches only [Query relationships - API reference](https://raw.githubusercontent.com/ory/docs/master/docs/reference/api.json) [API overview](https://www.ory.sh/docs/keto/concepts/api-overview). If you need to retrieve all relationships where the object matches a certain pattern (e.g., starts with "foo."), you would need to fetch all relationships and perform the filtering client-side after retrieving the data. If you have a large dataset and require this feature, you may want to consider submitting a feature request to the Ory team.