Vorticity-free rings orbiting black holes. I - The metric

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Black Holes (Astronomy), Interstellar Matter, Metric Space, Rotating Matter, Vorticity, Astrophysics, Einstein Equations, Gravitational Effects, Hydrodynamic Equations, Ideal Fluids, Relativity, Rings, Self Consistent Fields, Space-Time Functions

Scientific paper

One of the Einstein field equations describing the stationary and
axially symmetric spacetime, whose source is a perfect-fluid,
vorticity-free ring of matter orbiting a black hole is explicitly
integrated. This reduces the number of unknown metric functions to
three.

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