Steaua (meaning 'Star') was founded by the Ministry of National Defence of Romania, it was always basically an army club until the privatization started after Ceausescu death and fall of communism. Such situations were very typical in the Eastern Bloc by the way. Dynamo Moscow had ties with NKVD and KGB, CSKA with an army, so did Legia Warsaw in Poland, or CFR Cluj and Lech Poznań to national railways, just to name a few.
Some ten years ago Romanian Ministry of Defence sued the club for using the name, logo and stadium - all still owned by the Ministry. The court decided that the Ministry was right there and ordered to change the name and badge. So has FCSB been born.
Ministry has its own club - Steaua - once again, playing in lower divisions while FCSB are still the dominating force in Romanian football, just under a slightly different name.