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.
Black Holes and Wormholes in 2+1 Dimensions
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abstract
A large variety of spacetimes---including the BTZ black holes---can be obtained by identifying points in 2+1 dimensional anti-de Sitter space by means of a discrete group of isometries. We consider all such spacetimes that can be obtained under a restriction to time symmetric initial data and one asymptotic region only. The resulting spacetimes are non-eternal black holes with collapsing wormhole topologies. Our approach is geometrical, and we discuss in detail: The allowed topologies, the shape of the event horizons, topological censorship and trapped curves.
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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.