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DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

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supersonic<br />

Typical supernovae light curves. Type II supernovae<br />

have a large amount of scatter (∼ 4 magnitudes in the<br />

peak luminosity). Type II supernovae are separated<br />

into two groups (Plateau <strong>and</strong> Linear) based on the light<br />

curve. Figure courtesy of Mario Hamuy.<br />

25M⊙ core-collapse simulation 20 ms after bounce.<br />

In this simulation, the convective region stretches from<br />

roughly 50 km to 300 km.<br />

supersonic Involving speeds in excess of the<br />

local speed of sound.<br />

supersonic string model See elastic string<br />

model.<br />

superspace The space of inequivalent (under<br />

general coordinate transformations) spatial<br />

geometries <strong>and</strong> matter fields associated to the<br />

ADM decomposition of space-time (see geometrodynamics).<br />

Since the metric of space is<br />

a symmetric tensor of rank 2, there are apparently<br />

six gravitational degrees of freedom per<br />

space point. However, the latter are subjected<br />

to one Hamiltonian <strong>and</strong> three super-momentum<br />

© 2001 by CRC Press LLC<br />

464<br />

constraints which correspond to the transformations<br />

of the reference frame which leave the geometry<br />

unaltered. This leaves the equivalent of<br />

two degrees of freedom per space point or a total<br />

of (∞ 3 ) 2 gravitational degrees of freedom.<br />

A (generally time dependent) solution to Einstein’s<br />

equations traces out a 1-parameter path<br />

through superspace.<br />

One usually needs to impose some further restriction<br />

to the metric in order to h<strong>and</strong>le the constraints<br />

<strong>and</strong> obtain manageable results. See minisuperspace,<br />

ADM form of the Einstein–Hilbert<br />

action.<br />

surface boundary layer The usually<br />

“weakly stratified” layer at the top of natural water,<br />

which is immediately <strong>and</strong> directly affected<br />

by either wind or convection.<br />

surface gravity The limiting value of the<br />

force applied at infinity to keep a unit mass at<br />

rest on the black hole horizon. For an explicit<br />

example, see Schwarzschild metric. The surface<br />

gravity is also related to the temperature of<br />

Hawking radiation. See black hole horizon.<br />

surface tension (σ ) Molecules in the surface<br />

of liquid water are subjected to a net inward<br />

force due to hydrogen bonding with the water<br />

molecules below the surface. Surface tension is<br />

equal to the magnitude of that force divided by<br />

the distance over which it acts.<br />

surface waves Seismic waves that propagate<br />

along the surface of the Earth (as opposed<br />

to body waves). Surface waves are either<br />

Rayleigh (longitudinal, with a vertical component)<br />

or Love transverse waves. Surface waves<br />

are primarily responsible for the damage associated<br />

with earthquakes; they propagate more<br />

slowly than body waves so that the body waves<br />

provide a short precursory warning of the arrival<br />

of the destructive surface waves.<br />

surf zone The region at a coast where breaking<br />

waves are found.<br />

surge In solar physics, a relatively narrow active<br />

region jet of material in which plasma is accelerated<br />

outward at 50 to 200 km s −1 forafew<br />

tens of minutes. Surges reach coronal heights

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