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DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

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Einstein Universe<br />

where Rab is the Ricci tensor, gab is the metric<br />

tensor, <strong>and</strong> R =Ra a is the Ricci scalar. The<br />

divergence of the Einstein tensor vanishes identically.<br />

See gravitational equations, Ricci tensor.<br />

Einstein Universe The historically first cosmological<br />

model derived by Einstein himself<br />

from his relativity theory. In this model, the universe<br />

is homogeneous, isotropic, <strong>and</strong> static, i.e.,<br />

unchanging in time (see homogeneity, isotropy).<br />

This last property is a consequence of the longrange<br />

repulsion implied by the cosmological<br />

constant which balances gravitational attraction.<br />

This balance was later proved, by A.S. Eddington,<br />

to be unstable: any small departure<br />

from it would make the universe exp<strong>and</strong> or<br />

collapse away from the initial state, <strong>and</strong> the<br />

evolution of the perturbed model would follow<br />

the Friedmann–Lemaître cosmological models.<br />

Because of its being static, the Einstein Universe<br />

is not in fact an acceptable model of the actual<br />

universe, which is now known to be exp<strong>and</strong>ing<br />

(see expansion of the universe). However, the<br />

Einstein Universe played an important role in<br />

the early development of theoretical cosmology<br />

— it provided evidence that relativity theory is<br />

a useful device to investigate properties of the<br />

universe as a whole.<br />

ejecta In impact cratering, material that is<br />

tossed out during the excavation of an impact<br />

crater. The ejected material is derived from the<br />

top 1/3 of the crater. Some of the ejected material<br />

falls back onto the floor of the crater, but<br />

much is tossed outside the crater rim to form<br />

an ejecta blanket. Ejecta blankets on bodies<br />

with dry surface materials <strong>and</strong> no atmosphere<br />

(like the moon <strong>and</strong> Mars) tend to display a pattern<br />

with strings of secondary craters (craters<br />

produced by material ejected from the primary<br />

crater) radiating outward from the main crater.<br />

Glassy material incorporated into the ejecta can<br />

appear as bright streaks, called rays. A radial<br />

ejecta blanket is typically very rough within one<br />

crater radii of the rim — few individual secondary<br />

craters can be discerned. Beyond one<br />

crater radii, the ejecta blanket fans out into radial<br />

strings of secondary craters. On bodies<br />

with a thick atmosphere (like Venus) or with<br />

subsurface ice (like Mars <strong>and</strong> Jupiter’s moons<br />

of Ganymede <strong>and</strong> Callisto), impact craters are<br />

© 2001 by CRC Press LLC<br />

146<br />

typically surrounded by a more fluidized ejecta<br />

pattern, apparently caused by the ejecta being<br />

entrained in gas from either the atmosphere or<br />

produced during vaporization of the ice by the<br />

impact. The extent of the fluidized ejecta blankets<br />

varies depending on the state/viscosity of<br />

the volatiles <strong>and</strong> the environmental conditions.<br />

In supernova physics, the ejecta are the material<br />

blown from the stars as a result of the explosion.<br />

Ekman convergence The stress on the<br />

Earth’s surface varies from place to place <strong>and</strong><br />

hencesodoestheEkmantransport. Thisleadsto<br />

convergence of mass in some places, <strong>and</strong> hence<br />

to expulsion of fluid from the boundary layer,<br />

called the Ekman convergence. In other places,<br />

the Ekman transport is horizontally divergent,<br />

i.e., mass is being lost across the sides of a given<br />

area, so fluid must be “sucked” vertically into<br />

the boundary layer to replace that which is lost<br />

across the sides, called Ekman suction. This<br />

effect is called the Ekman pumping.<br />

Ekman layer (Ekman, 1905) The top or bottom<br />

layer in which the (surface or bottom) stress<br />

acts. The velocity that was driven by the stress is<br />

called the Ekman velocity. Typically, the atmospheric<br />

boundary Eckman layer is 1 km thick,<br />

whereas the oceanic boundary Eckman layer is<br />

10 to 100 m thick.<br />

Ekman mass transport The mass transport<br />

by the Ekman velocity within the boundary Ekman<br />

layer is called the Ekman mass transport or<br />

Ekman transport. In steady conditions, the Ekman<br />

transport is directed at right angles to the<br />

surface stress. In the atmosphere, the transport<br />

is to the left in the northern hemisphere relative<br />

to the surface stress. In the ocean, the transport<br />

is to the right in the northern hemisphere relative<br />

to the surface stress.<br />

Ekman pumping See Ekman convergence.<br />

Elara Moon of Jupiter, also designated JVII.<br />

Discovered by C. Perrine in 1905, its orbit has an<br />

eccentricity of 0.207, an inclination of 24.77 ◦ ,<br />

<strong>and</strong> a semimajor axis of 1.174 × 10 7 km. Its<br />

radius is approximately 38 km, its mass 7.77 ×<br />

10 17 kg, <strong>and</strong> its density 3.4 g cm −3 . It has a

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