Synthetic timelike Ricci bounds TCD^e_p(K,N) are stable under C^0-limits of Lorentzian metrics, with applications to impulsive gravitational waves and counterexamples to Lorentzian splitting theorems.
Strings and other distributional sources in general relativity.Phys
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gr-qc 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A hypersurface-anchored variational principle supplements the Einstein-Hilbert action with a functional on a varied spacelike hypersurface, yielding standard bulk equations plus distributional contributions and an anchoring condition that selects admissible embeddings.
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Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves
Synthetic timelike Ricci bounds TCD^e_p(K,N) are stable under C^0-limits of Lorentzian metrics, with applications to impulsive gravitational waves and counterexamples to Lorentzian splitting theorems.
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Hypersurface Anchored Variational Principle for General Relativity
A hypersurface-anchored variational principle supplements the Einstein-Hilbert action with a functional on a varied spacelike hypersurface, yielding standard bulk equations plus distributional contributions and an anchoring condition that selects admissible embeddings.