On Sunday, the Channel Islands Air Search was involved in searching the area in which Mr Frost was last seen for three-and-a-half hours but was unable to locate him.
Searches continued on Monday, and will continue on Tuesday.
Mr Frost is described as approximately 6ft tall, of medium build, with grey hair, and usually clean shaven.
Officers said yesterday that he is believed to be wearing dark blue denim jeans and an orange/red t-shirt with a grey hooded top, and that he may also be barefoot.
In an update released alongside a new photograph this afternoon, Police said that they remaned “concerned” for Mr Frost’s welfare.
Pictured: A new photo of Mr Frost released this afternoon.
“Police continue their enquiries with detectives and search officers deployed specifically to this investigation,” officers said.
“Police would like to speak with anyone who can help to locate Thomas and help with their enquiries.
“Please call 01534 612612, option 2, option 4.”
Follow Express for updates…