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Techniques of Global analysis applied to gravitation theories: A cosmological black hole?An elementary model of freely falling observers and emitters within a black hole's radius is examined to determine the redshift spectrum reaching a typical observer. The model is independent of scale, the fundamental unit being the radius (mass) of the black hole. The observers/emitters all follow the same kinds of trajectories: radially inward and starting from rest at spatial infinity. The test-particle role is assumed throughout; i.e., the observers/emitters do not themselves contribute to the gravitational field of the system. By means of redshift formulas and luminosity distance to the emitters, a picture of actual redshifts and blueshifts, with their intensities, emerges for an observer within the black hole's radius. No luminosity distances greater than approximately one-half the radius are considered in this particular study; nevertheless, redshifts and blueshifts up to approximately 0.6 are seen in portions of the observer's celestial sphere. An exotic application can be made, as a curiosity, to a black hole the size of the universe, resulting in a particular anisotropic "cosmology."
Document ID
19770015085
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Debney, G. (NASA Marshall Space Flight Center Huntsville, AL, United States)
Date Acquired
September 3, 2013
Publication Date
February 1, 1977
Subject Category
Astrophysics
Report/Patent Number
NASA-TM-X-73378
Accession Number
77N22029
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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