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Projective differential geometry and asymptotic analysis in General Relativity

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arxiv 2109.05834 v2 pith:XFGKVJFC submitted 2021-09-13 math.DG math-phmath.MP

Jack Borthwick This is my paper · ORCID
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keywords differentialprojectiveanalysisasymptoticcasecompactgeometrymanifolds
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In this text, we explore the tools that Projective Differential Geometry can provide for the asymptotic analysis of classical fields on projectively compact manifolds. We emphasise on the case of order 2-compactifications and develop, in this case, a projective exterior differential tractor calculus that is analogous to that existing for conformally compact manifolds.

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  1. A polynomial affine model of gravity: after ten years

    gr-qc 2024-12 conditional novelty 3.0 of 10

    A ten-year review of polynomial affine gravity, covering the most general diffeomorphism-invariant action, its field equations, cosmological solutions, and emergent metrics.

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