The Singularity in Generic Gravitational Collapse Is Spacelike, Local, and Oscillatory

Details The Singularity in Generic Gravitational Collapse Is Spacelike, Local, and Oscillatory The Singularity in Generic Gravitational Collapse Is Spacelike, Local, and Oscillatory

1998-05-17

arxiv.org/abs/gr-qc/9805063v1

Mod.Phys.Lett. A13 (1998) 1565-1574

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages includes 4 figures. Uses Revtex and psfig. Received "honorable mention" in 1998 Gravity Research Foundation essay cont

Scientific paper

10.1142/S0217732398001649

A longstanding conjecture by Belinskii, Khalatnikov, and Lifshitz that the singularity in generic gravitational collapse is spacelike, local, and oscillatory is explored analytically and numerically in spatially inhomogeneous cosmological spacetimes. With a convenient choice of variables, it can be seen analytically how nonlinear terms in Einstein's equations control the approach to the singularity and cause oscillatory behavior. The analytic picture requires the drastic assumption that each spatial point evolves toward the singularity as an independent spatially homogeneous universe. In every case, detailed numerical simulations of the full Einstein evolution equations support this assumption.

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