Remarkable properties of the limiting counter-rotating disc

Details Remarkable properties of the limiting counter-rotating disc Remarkable properties of the limiting counter-rotating disc

Feb 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.230..451l&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 230, Feb. 1, 1988, p. 451-456. CNPq-supported research.

Astronomy and Astrophysics

Astrophysics

17

Astrophysics, Counter-Rotating Wheels, Minkowski Space, Rotating Disks, Space-Time Functions, High Gravity Environments, Photons

Scientific paper

In a counter-rotating equilibrium disc equal number of particles perform circular orbits in opposite directions. Such discs can be self-similar solutions of Einstein field equations if the velocity of circular motion is independent of radius. The author shows that the limiting case of photons circulating at the velocity of light gives rise to a metric which is flat above and below the disc. Thus even when the gravity is so strong that photons describe circles there is no tidal force above and below the disc. However, Minkowski observers are accelerated towards it. They find the disc to have the form of a rectangular hyperboloid with its apex travelling with the speed of light. The straight line geodesics in Minkowski space was transformed to give the geodesics in the metrics of the disc.

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