Curvature bounds, regularity and inextendibility of spacetimes
classification
🌀 gr-qc
math-phmath.DGmath.MGmath.MP
keywords
curvatureboundsinextendibilityspacetimescausalcharacterclassicalcomplementing
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We provide a completely new relation between curvature bounds and definiteness of the causal character of maximizers by exploiting the robust notion of synthetic curvature. This enables us to relate low-regularity inextendibility of spacetimes to unboundedness of curvature - which is at present unattainable using classical methods - thereby strengthening and complementing the results of Grant-Kunzinger-Saemann (2019) significantly.
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