Patrick Carroll (Illustration by The Authentic Deal with Carroll and Getty) Past 7 days, apartment developer Patrick Carroll introduced a venture to provide rescue money to apartment house owners across the Solar Belt. The system programs to make investments $250 million in equity to troubled borrowers. Carroll is not alone. As climbing interest fees and a history sum of financial debt place far more authentic estate entrepreneurs at risk, a rising variety of gamers are preparing to feast on distressed assets. Business lending huge Greystone mentioned Monday that it experienced shaped a undertaking with Inlet Authentic Estate Funds to give small-expression distress financing to struggling owners. And Barry Sternlicht, whose…