We present the results of a narrowband imaging survey for Ly alpha emi
ssion from young and forming ellipticals or spheroids at high redshift
s. A total of 11 independent datacubes, each consisting of 6-11 images
at slightly different central wavelengths, were obtained using a Fabr
y-Perot imaging interferometer on fields of similar to 5 arcmin square
. Each datacube spans Delta z-0.2 while the total survey spans a redsh
ift range of 2.78-4.89 for Ly alpha line emission. We reach a 1 sigma
limiting Line flux (in an aperture of twice the seeing FWHM) of simila
r to 1.5 X 10(-17) ergs cm(-2) s(-1) over 0.05 deg(2), with a total of
0.63 deg(2) surveyed to a limiting line flux of similar to 8.5X10(-17
) ergs cm(-2) s(-1). The survey reaches a 1 sigma average limiting res
tframe Ly alpha emission line luminosity of similar to 1.5X10(42) ergs
s(-1) over a volume of 3000 comoving Mpc(3), with a total volume of 1
10 000 comoving Mpc(3) surveyed to an emission line luminosity of simi
lar to 2.0X10(43) ergs s(-1) (for H-0 = 75 km s(-1) Mpc(-1) and Ohm(0)
=0.2). No obvious population of Ly alpha luminous primeval galaxies ha
s been detected so far, although a number of candidates remain which n
eed to be checked by follow-up spectroscopy. Possible explanations for
the lack of detection of a population of primeval galaxies at optical
wavelengths in this and similar surveys include the possibility that
they were obscured by dust or that the bulk of galaxy formation occurr
ed at redshifts z(gf)greater than or equal to 5. The instrument used f
or this survey is also briefly described. (C) 1995 American Astronomic
al Society.