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Relativistic Stars and the Schwarzschild Solution

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Penrose Diagrams: Minkowski<br />

Map infinity to boundary of a compact domain:<br />

Minkowski diagram becomes a Penrose Diagram.<br />

Purpose is to display “light cones” – worldlines of<br />

all massive particles must remain inside <strong>the</strong> cone.<br />

η<br />

time<br />

r=0<br />

t=+∞ r=∞<br />

t=−∞<br />

space<br />

Light cones preserved<br />

(conformal transformation).<br />

Angular coordinates (θ,φ) not<br />

shown in <strong>the</strong> diagram.<br />

ξ<br />

Severe distortion near<br />

boundary.

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