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Gravitational collapse in Painlev\'e-Gullstrand coordinates

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arxiv 1008.0470 v1 pith:PWKCEZDW submitted 2010-08-03 gr-qc

Gravitational collapse in Painlev\'e-Gullstrand coordinates

classification gr-qc
keywords collapsecoordinategravitationalcoordinatesdescribee-gullstrandformpainlev
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We construct an exact solution for the spherical gravitational collapse in a single coordinate patch. To describe the dynamics of collapse, we use a generalized form of the Painlev\'e-Gullstrand coordinates in the Schwarzschild spacetime. The time coordinate of the form is the proper time of a free-falling observer so that we can describe the collapsing star not only outside but also inside the event horizon in a single coordinate patch. We show the both solutions corresponding to the gravitational collapse from infinity and from a finite radius.

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Cited by 2 Pith papers

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    Algebraic equations from Hamiltonian constraints on vacuum spherically symmetric metrics describe non-homogeneous dust collapse and bounce, applied to quantum-inspired models to recover or find new bounce results.

  2. Classical limit for Dirac fermions with modified action in the presence of the black hole

    gr-qc 2019-06 unverdicted novelty 5.0

    A covariant model of Dirac fermions with an extra Planck-derived term yields the same Einstein-equation collapse as ordinary GR yet permits numerical trajectories that escape the black hole.