A SAAB 340 IN CRUISE SHUT DOWN THE R ENG AND DIVERTED DUE TO #2 ENG TAIL PIPE HOT WARNING LIGHT ILLUMINATED.

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JUST AFTER ESTABLISHING CRUISE FLT SEBOUND FROM BOS; ON V141; THE R 'TAIL PIPE HOT' WARNING TRIPPED. PROC CALLS FOR PWR ON AFFECTED SIDE TO BE REDUCED TO 10-20% TORQUE; THEN NOTE RESPONSE. IN OUR CASE; THE LIGHT WENT OUT FOR A MOMENT; THEN RETRIGGERED. I THEN CALLED FOR A MANUAL SHUTDOWN OF THE R ENG; EMER DECLARATION TO ATC; AND RETURN TO BOS. AFTER R ENG SHUTDOWN; THE PNF WAS BUSY EXECUTING THE CHKLIST; RESPONDING TO THE FLT ATTENDANT; AND RESPONDING TO ATC'S QUERIES (FUEL; SOULS; ETC). I TOOK SOME OF THE PRESSURE OFF THE PNF BY DOING RADIO WORK AND TALKING TO FLT ATTENDANTS; TELLING ONE TO STANDBY WHILE I BRIEFED THE OTHER. RESPONSE BY EVERYONE INVOLVED WENT WELL DUE TO ADVANCED PREPARATION BEFORE FLT (BRIEFING OF EXIT-ROW PAX AND CREW EMER RESPONSE STANDARDIZATION) AND BEING LUCKY ENOUGH TO HAVE JUST A COUPLE OF SPARE MINS PRIOR TO LNDG TO TELL ATC THE PLAN. WE WERE VECTORED FOR THE ILS 27; AND HOPED TO ROLL CLR VIA TXWY E AFTER TOUCHDOWN. HOWEVER; THE TAIL PIPE HOT LIGHT INTERMITTENTLY TRIGGERED DURING FINAL APCH. BOGUS WARNING OR RED HEAT/FIRE IN THE WING/EXHAUST AREA? WE DECIDED TO EVAC VIA THE L-HAND EXITS AFTER TOUCHDOWN; WITHOUT LOSING TIME EXITING RWY 27. EVAC WAS DONE IN BEX SF-340 TEXTBOOK FASHION. 1 PAX ADVISED FLT ATTENDANT OF A SORE WRIST SUFFERED DURING EVAC. CFR PERSONNEL CHKED ENG VIA INFRARED AND FOUND NO EVIDENCE OF FIRE. ACCELERATED RESPONSE/CRM HELPED US WORK WELL DURING THE EMER; BUT I WOULD HAVE PREFERRED TO NOT HAVE PAX JUMPING ONTO CONCRETE WITHOUT THE PROTECTION OF SLIDES. THE R ENG WAS SHUT DOWN AND STILL WARNINGS TRIPPED FOR A HOT PIPE. THERE INDEED WAS ENOUGH OF A THREAT TO DO AN EVAC.