A polynomial Plebański structural function H(P) enables the first realization of multicritical points in 4D GR, with the soliton sector exhibiting multiple first-order phase transitions whose number is set by the polynomial degree.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Einstein warped products in 4D are classified algebraically via curvature matrix blocks into Petrov types (3+1 generically type I, 2+2 type D, 1+3 type O), with closed Riemannian half-conformally flat cases required to be flat.
Adapts Sbierski's proof to establish future C^0-inextendibility for warped-product black hole spacetimes with closed, connected, homogeneous, orientable fibres, including nonvacuum cases and multiple horizons.
citing papers explorer
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Multicritical points of gravitational solitons and a black hole in four dimensions
A polynomial Plebański structural function H(P) enables the first realization of multicritical points in 4D GR, with the soliton sector exhibiting multiple first-order phase transitions whose number is set by the polynomial degree.
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Warped Product Einstein Manifolds in Four Dimensions
Einstein warped products in 4D are classified algebraically via curvature matrix blocks into Petrov types (3+1 generically type I, 2+2 type D, 1+3 type O), with closed Riemannian half-conformally flat cases required to be flat.
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$C^0$-inextendibility of a class of warped-product black hole spacetimes
Adapts Sbierski's proof to establish future C^0-inextendibility for warped-product black hole spacetimes with closed, connected, homogeneous, orientable fibres, including nonvacuum cases and multiple horizons.