Tidal squeezing of stars by Schwarzschild black holes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Celestial Mechanics, Relativistic Effects, Schwarzschild Metric, Stellar Evolution, Stellar Models, Stellar Motions, Compressibility Effects, Equations Of Motion, Orbital Mechanics, Stellar Structure, Tides

Scientific paper

A relativistic generalization of the problem of tidal disruption of a star deeply plunging within the Roche radius of a massive Schwarzschild black hole is presented, on the basis of the affine star model developed by Carter and Luminet (1982, 1983, 1985) in a Newtonian context. It is shown that new specific relativistic effects occur. In particular, tidal compression acting on the direction orthogonal to the orbital plane of the star may induce formation of many successive strong squeezings of the star when the periastron of its orbit is sufficiently close to the horizon of the black hole. Illustrative numerical results are displayed in last section.

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