What was found
PASSENGER FLIGHT EN ROUTE FROM GEO TO JFK WAS AT TOP OF DECENT, AT FL380 TIME APPROXIMATE 0027Z. THE LT GENERATOR WENT OFF LINE AND THE APU GENERATOR PICKED UP THE ELECTRICAL LOAD. N1, N2, AND N3 WAS REDUCED WITH COMMAND THROTTLE REDUCED AND EGT BEGAN TO RISE (560 DEGS). THE PIC COMMANDED THE LT ENGINE TO BE SHUTDOWN. THE PIC RESTARTED THE ENGINE SUCCESSFULLY AT 25,000 FT AND THE ENGINE RAN NORMALLY DURING DECENT. THE PIC HAD DECLARED AN EMERGENCY WITH ATC INTO JFK. THE AIRCRAFT IS AOG IN JFK WITH AIRCRAFT MAINTENANCE WORKING THE ISSUE. WE WILL FILE A SUPPLEMENTAL REPORT WHEN MORE INFORMATION IS AVAILABLE. SUPPLEMENTAL AS OF 10/8/20. REMOVED AND REPLACE ENGINE (716801 ENGINE).