Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976mnras.176..561d&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 176, Sept. 1976, p. 561-569.
Astronomy and Astrophysics
Astronomy
3
Anisotropy, Astronomical Models, Black Holes (Astronomy), Particle Trajectories, Red Shift, Mass Transfer, Mathematical Models, Point Sources, Radial Distribution, Schwarzschild Metric, Singularity (Mathematics), Spectrum Analysis
Scientific paper
An elementary model of test-particle observers and emitters of photons located within a black hole's event horizon and falling radially inward towards the singularity is investigated to determine the redshift patterns received by a typical observer. An analytical formulation of the model is outlined, and the anisotropy of redshifts is determined. It is found that the redshift pattern as seen on the celestial circle of an observer one third of the way from the horizon to the central singularity is characterized by a maximum redshift at a 'look angle' of 0 deg, a minimum redshift at 180 deg, and possibly some sort of anomaly along the ring at 35 deg. It is also shown that multiple imaging and focusing occur outside the horizon, no focusing or multiple imaging of a point source within the horizon is possible, and blueshifts can appear only after the observer has fallen a substantial distance into the black hole. An application of the test-particle model to a black hole of cosmological scale is briefly discussed.
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