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DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

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light bridge Observed in white light, a<br />

bright tongue or streak penetrating or crossing a<br />

sunspot umbra. The appearance of a light bridge<br />

is frequently a sign of impending region division<br />

or dissolution.<br />

light cone The 3-dimensional hypersurface<br />

in spacetime which is generated by light rays<br />

(i.e., light-like geodesics) originating at a single<br />

event p (future light cone) <strong>and</strong> meeting at<br />

this event (past light cone); the event p is referred<br />

to as the vertex of the light cone. In the<br />

flat spacetime of special relativity such hypersurfaces<br />

with vertices at different events of the<br />

flat spacetime are isometric (i.e., are identical<br />

copies of each other). In general spacetimes,<br />

the hypersurfaces may be curved <strong>and</strong> may end<br />

at folds, or self-intersections. In curved spacetimes,<br />

light cones with different vertices are in<br />

general not isometric.<br />

The notion of a light cone is important in observationalastronomy:<br />

theimageoftheskyseen<br />

by an observer at the momentt=t0 is a projection<br />

of the observer’s past light cone at t=t0<br />

onto the celestial sphere. All the events in our<br />

actual spacetime that could have been observed<br />

by a given observer up to the moment t =t0<br />

on his clock lie on or inside the past light cone<br />

of the event t=t0 of the observer’s history, a<br />

restatement of the fact that an eventq can be observed<br />

by an observerO only by the time when<br />

the light-ray emitted at q reachesO.<br />

light-curve A plot of light received from a<br />

star vs. time. A variable star is one that has a<br />

light-curve with peaks <strong>and</strong> troughs. Often these<br />

features are periodic (in the case of eclipsing<br />

binaries) or nearly (or quasi-) periodic in the<br />

case of variations in an isolated star, such as<br />

sunspots (starspots) or stellar oscillations.<br />

For planetary bodies, the variation in brightness<br />

due to an object’s rotation. A light-curve<br />

can be due to shape effects (seeing different<br />

cross-sectional areas of an object as it rotates),<br />

albedo changes on the surface (seeing different<br />

bright <strong>and</strong> dark patches as the object rotates), or<br />

some combination of the two.<br />

light deflection The curving of light rays<br />

by the gravitational field. In the absence of all<br />

gravitational fields, i.e., in the flat spacetime of<br />

© 2001 by CRC Press LLC<br />

light pollution<br />

special relativity, light rays are straight. However,<br />

in curved spacetime containing a massive<br />

body, a light ray passing by the massive body<br />

curves toward the body. If a body of mass M<br />

is spherical, <strong>and</strong> the closest distance between<br />

the ray <strong>and</strong> the center of the body is r, then<br />

the angle of deflection φ is given by the approximate<br />

Einstein formulaφ = 4GM/(c 2 r),<br />

where G is the gravitational constant <strong>and</strong> c is<br />

the velocity of light. The formula applies only<br />

whenr≫ 2GM/c 2 (i.e., when the angleφ is<br />

small). For a ray grazing the surface of the sun,<br />

φ = 1.75 sec of arc. This effect was measured<br />

by Eddington in 1919, <strong>and</strong> more recently confirmed<br />

with greater precision for radio-waves<br />

from radio-sources; deflection of light by the<br />

sun has been verified to parts in 1000 by observations<br />

of the direction to extragalactic radio<br />

sources, as the sun passes near their position<br />

in the sky. An observer placed far enough behind<br />

the deflecting mass can see light rays that<br />

passed on opposite sides of the deflector. For<br />

such an observer, the deflector would be a gravitational<br />

lens. In the case of distant sources,<br />

deflection by intervening galaxies or clusters of<br />

galaxies causes lensing, leading to the appearance<br />

of multiple images, <strong>and</strong> of rings or arcs<br />

of distorted images. Light rays approaching the<br />

very strong gravitational field of a black hole<br />

can describe very complicated orbits.<br />

light-harvesting complex A pigment-protein<br />

complex containing chlorophyll that supplies<br />

additional energy in photosynthesis.<br />

lightlike current (cosmic string) See electric<br />

regime (cosmic string).<br />

lightning Electric discharge in the atmosphere<br />

that produces a lightning flash. Two fundamental<br />

types can be distinguished: ground<br />

flashes where the discharge occurs between the<br />

ground <strong>and</strong> the cloud with the flash either propagating<br />

upward or downward, <strong>and</strong> cloud flashes<br />

or intracloud flashes, where the discharge occurs<br />

between clouds <strong>and</strong> the flash does not strike the<br />

ground.<br />

light pollution Deleterious effects of outdoor<br />

lighting on astronomical observations (which require<br />

dark sky <strong>and</strong> which are severely affected<br />

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