Affine ANEC obstructs non-static flat and open FRW from being null geodesically complete while ANEC-satisfying, but allows explicit scalar-field realizations for closed FRW with NEC-respecting matter.
A Cosmological Theory without Singularities
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
A theory of gravitation is constructed in which all homogeneous and isotropic solutions are nonsingular, and in which all curvature invariants are bounded. All solutions for which curvature invariants approach their limiting values approach de Sitter space. The action for this theory is obtained by a higher derivative modification of Einstein's theory. We expect that our model can easily be generalized to solve the singularity problem also for anisotropic cosmologies.
fields
gr-qc 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Bounded tidal fields imply a rigorous limit on accumulated geodesic deviation set by τ* = λ_max^{-1/2} and a critical wavenumber k* ~ τ*^{-1} for perturbation transfer with exponential suppression at high k.
citing papers explorer
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Affine ANEC selects the closed FRW branch for geodesically complete cosmology
Affine ANEC obstructs non-static flat and open FRW from being null geodesically complete while ANEC-satisfying, but allows explicit scalar-field realizations for closed FRW with NEC-respecting matter.
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Tidal Deformation Bounds and Perturbation Transfer in Bounded Curvature Spacetimes
Bounded tidal fields imply a rigorous limit on accumulated geodesic deviation set by τ* = λ_max^{-1/2} and a critical wavenumber k* ~ τ*^{-1} for perturbation transfer with exponential suppression at high k.