The BGV Theorem and the Null Convergence Condition

arXiv:2607.28412 · gr-qc, astro-ph.CO · Submitted 2026-07-30 · Read on arXiv

William H. Kinney

Univ. at Buffalo, SUNY

gr-qc, astro-ph.CO

Submitted: 2026-07-30

Comments: 19 pages

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Null Convergence Condition — 14× in this paper
• Generalization — 1× in this paper · explained in 13 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Geodesically complete cyclic cosmologies and entropy
• Geodesic completeness, cosmological bounces and inflation
• The Emergent Universe: inflationary cosmology with no singularity
• On the past-completeness of inflationary spacetimes
• Steady-State Eternal Inflation
• Inflation without a beginning: a null boundary proposal
• Bouncing completion of eternal inflation
• On the initial singularity and extendibility of flat quasi-de Sitter spacetimes
• BGV theorem, Geodesic deviation, and Quantum fluctuations
• Horizon crossing and inflation with large \eta
• Eternal Hilltop Inflation

Related papers

• Improving Slow-Roll Estimates in Starobinsky Inflation Using an Analytic Hubble Parameter
• Listening to the Horizon: Probing Near-Horizon Reflectivity with GW250114
• A Pairwise Surrogate for Gravitational-Wave Spectra from Highly Relativistic Vacuum Bubble Collisions
• Tests of General Relativity with Einstein Telescope
• A weakly modelled view of the joint compact-binary mass plane: population structure and spectral-siren cosmology
• Unitary quantum matter-bounce in a universe with a positive cosmological constant