Sharpened Dynamical Cobordism ties the allowed range of critical exponent δ to theory structure ξ, flagging obstructions from non-trivial cobordism charges that require new degrees of freedom.
The value of singularities
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We point out that spacetime singularities play a useful role in gravitational theories by eliminating unphysical solutions. In particular, we argue that any modification of general relativity which is completely nonsingular cannot have a stable ground state. This argument applies both to classical extensions of general relativity, and to candidate quantum theories of gravity.
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Treating singularities as free boundaries in the Einstein-Hilbert action yields boundary conditions excluding Kasner/BKL spacetimes while admitting conformally regular FLRW cosmologies sourced by 0 ≤ P < ρ fluids with reflecting perturbations.
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Sharpened Dynamical Cobordism
Sharpened Dynamical Cobordism ties the allowed range of critical exponent δ to theory structure ξ, flagging obstructions from non-trivial cobordism charges that require new degrees of freedom.
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The free boundary problem in general relativity
Treating singularities as free boundaries in the Einstein-Hilbert action yields boundary conditions excluding Kasner/BKL spacetimes while admitting conformally regular FLRW cosmologies sourced by 0 ≤ P < ρ fluids with reflecting perturbations.