The phrase "in the eyes of the law/world etc." is often used in legal and societal contexts to convey how a particular entity or action is perceived or judged by others. There are several synonyms for this phrase, such as "according to prevailing norms/customs/standards," "from a legal/moral/ethical standpoint," and "in the estimation/opinion/judgment of society/government/authority." Other similar phrases include "under the auspices of," "as per," "under the jurisdiction of," and "within the confines of." By using these synonyms, we are able to convey the same meaning while adding variety and interest to our language.