In a previous post we described the yellow star: A player's main base of operations. Yellow stars last forever and are bound to a specific player. That player has the option to fully explore the star over time, build infrastructure, and optionally allow access and establish trade, mining and military relations with other players.
Red Stars are very different. They do not belong to any player. Only a small amount of players have time limited access to a given Red Star (we're thinking 3-8 players depending on the star's level, likely to be tweaked). The star's lifetime is very small - probably much smaller than a day (exact amount to be determined from playtesting). After the time limit expires, Red Stars go Supernova, destroying any objects near them, including any ships the players may have left there.