WordNet records no synonym and no antonym for air alert. It is the only member of each of its synsets, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
the time period during which military and civilian agencies are prepared for an enemy air attack
the condition in which combat aircraft are airborne and ready for an operation
“aircraft in the Mideast are on air alert”
the warning signal that begins a period of preparation for an enemy air attack
Synonyms, antonyms and the broader and narrower relations for air alert come from Princeton University’s WordNet. Full sources and licences.