Price's law, mass inflation, and strong cosmic censorship

Details Price's law, mass inflation, and strong cosmic censorship Price's law, mass inflation, and strong cosmic censorship

2004-01-29

arxiv.org/abs/gr-qc/0401121v1

Relativity today: Proceedings of the Seventh Hungarian Relativity Workshop, Budapeset, 2004, pp. 79--90

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 7 figures. To appear in ``Proceedings of the Seventh Hungarian Relativity Workshop''

Scientific paper

Two aspects of the widely accepted heuristic picture of the final state of gravitational collapse are the so-called Price law tails, describing the asymptotics of the exterior region of the black hole that forms, and Israel-Poisson's mass inflation scenario, describing the internal structure of the black hole. (The latter scenario, if valid, would indicate that the maximal development of initial data is extendible as a C^0 metric, putting into question the validity of Penrose's strong cosmic censorship conjecture.) In this talk, I shall discuss a series of rigorous results proving both Price's law and the mass inflation scenario in an appropriate spherically symmetric setting. The proof of Price's law is joint work with I. Rodnianski.

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