Although atmospheric Cherenkov telescopes have restricted fields of vi
ew, their fluence sensitivity warrants a search for gamma-ray burst ph
enomena. A search for 400 GeV gamma-ray bursts on a 1 s time-scale usi
ng archival data taken between 1988 and 1992 with the Whipple Collabor
ation 10 m reflector is presented. No evidence of such bursts is found
. Bursts of TeV gamma rays have been predicted from exotic astrophysic
al objects such as Primordial Black Holes and Cosmic Strings. An upper
limit to the number density of exploding PBH of 3.0 +/- 1.0 x 10(6) p
c(-3) yr(-1) is calculated. (C) 1998 Elsevier Science B.V.