Electron-degenerate, pressure-ionized hydrogen (usually referred to as
metallic hydrogen) is the principal constituent of brown dwarfs, the
long-sought objects which lie in the mass range between the lowest-mas
s stars (about eighty times the mass of Jupiter) and the giant planets
. The thermodynamics and transport properties of metallic hydrogen are
important for understanding the properties of these objects, which, u
nlike stars, continually and slowly cool from initial nondegenerate (g
aseous) states. Within the last year, a brown dwarf (Gliese 229 B) has
been detected and its spectrum observed and analyzed, and several exa
mples of extrasolar giant planets have been discovered. The brown dwar
f appears to have a mass of about 40 to 50 Jupiter masses and is now t
oo cool to be fusing hydrogen or deuterium, although we predict that i
t will have consumed all of its primordial deuterium. This paper revie
ws the current understanding of the interrelationship between its inte
rior properties and its observed spectrum, and also discusses the curr
ent status of research on the structure of giant planets, both in our
solar system and elsewhere. (C) 1997 American Institute of Physics.