The official time in a local region (adjusted for location around the Earth); established by law or custom(noun)
WordNet. Princeton University. 2010.
Use "local time" in a sentence
"And once a person gets used to the idea that stardates can seem to run backward from place to place, depending on your direction and speed of travel, it becomes an exceedingly simple calculation to convert from local time to stardate anywhere in the galaxy."
"Arjun had been alerted at around 2A.M. Geneva time, minutes after the seismic monitoring centers to which we are linked registered a huge earthquake: 7:58A.M. local time west of the northern tip of the huge Indonesian island of Sumatra."
"British ship MBBL (Clement) sunk by surface raider 75 miles south-east of Pernambuco 1400 local time yesterday."