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A Cosmological Theory without Singularities

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arxiv gr-qc/9303001 v1 pith:UOBIVNUU submitted 1993-03-01 gr-qc astro-phhep-th

A Cosmological Theory without Singularities

classification gr-qc astro-phhep-th
keywords theoryapproachcurvatureinvariantssolutionsactionanisotropicbounded
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 2 Pith papers

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  1. Affine ANEC selects the closed FRW branch for geodesically complete cosmology

    gr-qc 2026-05 unverdicted novelty 6.0

    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.

  2. Tidal Deformation Bounds and Perturbation Transfer in Bounded Curvature Spacetimes

    gr-qc 2026-02 unverdicted novelty 6.0

    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.