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Collapsing thin shells with rotation · Around

2014

Collapsing thin shells with rotation

Delsate, Térence, Rocha, Jorge V., Santarelli, Raphael

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We construct exact solutions describing the motion of rotating thin shells in a fully backreacted five-dimensional rotating black hole spacetime.

The radial equation of motion follows from the Darmois-Israel junction conditions, where both interior and exterior geometries are taken to be equal angular momenta Myers-Perry solutions.
We show that rotation generates anisotropic pressures and momentum along the shell.
Gravitational collapse scenarios including rotation are analyzed and a new class of stationary solutions is introduced.

Built on

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2005

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Notice that in 3D no such restriction is obtained since the induced metrics on both sides of the shell trivially match

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For consistency of Eqs. ( 8

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J. V. Rocha, R. Santarelli and T. Delsate, arXiv:1402.4161 [gr-qc]

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A similar restriction is not obtained in three dimensions Rocha:2011wp due to the triviality of the BTZ black hole geometry Banados:1992wn

Cited in the paper.

Otherwise, the role of λ 0 \lambda_{0} and λ 1 \lambda_{1} are interchanged and the WEC cannot be fulfilled

Cited in the paper.

2014

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