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Universality of curvature invariants in critical vacuum gravitational collapse
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We report on a numerical study of gravitational waves undergoing gravitational collapse due to their self-interaction. We consider several families of asymptotically flat initial data which, similar to the well known Choptuik's discovery, can be fine-tuned between dispersal into empty space and collapse into a black hole. We find that near-critical spacetimes exhibit behavior similar to the collapse of scalar field: For different families of initial data, we observe universal "echoes" in the form of irregularly repeating approximate scaled copies of the same piece of spacetime.
Forward citations
Cited by 2 Pith papers
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Angle of Null Energy Condition Lines in Critical Spacetimes
In Choptuik critical collapse, the null energy condition saturation lines meet at the center with a universal angle α=2 arccot(D−1), numerically α≈0.64 in four dimensions.
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Comparing twist-free axisymmetric gravitational waves near the black hole threshold
Independent codes (bamps, prague, sphGR) agree on near-threshold vacuum wave collapse, confirming family-dependent scaling and quasi-universal strong-field features.
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