Other
Scientific paper
Nov 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gregr..20.1173a&link_type=abstract
General Relativity and Gravitation, Volume 20, Issue 11, pp.1173-1183
Other
112
General Relativity:Schwarzschild Metric, General Relativity:Space-Time
Scientific paper
Attention is drawn to the advantages of representing dynamical behavior in a stationary or static background spacetime in terms of a fixed reference 3-geometry that differs from the usual one by a certain conformal rescaling factor. The resulting Riemannian metric may be appropriately described as the “optical geometry” in recognition of the fact that “line-of-sight” trajectories are faithfully represented within it as geodesic, at least in the strictly static case for which such “lines-of-sight” are unambiguously defined. (In more general stationary examples the geodesies represent what amounts to the result of a cancellation between the Coriolis-type effects that would cause a physical light path to deviate to one side or the other depending on the sense of propagation.) The application to the particular case of the Schwarzschild solution is discussed: In this example the optical 3-geometry has a throat that occurs not on the horizon (as in the directly projected 3-geometry) but at the radius of the circular null geodesic orbit.
Abramowicz Marek A.
Carter Brandon
Lasota Jean-Pierre
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