Superstars and trapped light The geometrical optics of gravitationally intense bodies
作者:
D. J. Baylis,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1975)
卷期:
Volume 6,
issue 2
页码: 223-229
ISSN:0020-739X
年代: 1975
DOI:10.1080/0020739750060212
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Starting from the differential equation describing the path of a photon in the Schwarzschild field of a spherically symmetric non‐rotating star in empty space we derive the condition for the light emitted from such a star to return to its surface, and describe some features of its orbit. The principal results are(a)only stars of radius < 1‐5 (in units of the Schwarzschild radius) can recapture their photons,(b)no photon which is ultimately recaptured goes further than 1 ‐5 units from the centre of the star, (c) provided the stellar radius is <l‐5 the angular diameter of the star as seen by a distant observer isindependentof that radius.
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