Exact tree-level MHV graviton scattering amplitudes at arbitrary multiplicity are obtained on self-dual Taub-NUT backgrounds using twistor theory, including spin via Newman-Janis shift, with undeformed celestial symmetries.
Tod,One-sided type-D Ricci-flat metrics
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Toric self-dual Einstein instantons with negative cosmological constant satisfying a global conformal Kähler extension condition are precisely the Calderbank-Pedersen-Singer multipole solutions.
Einstein metrics extending Chen-Teo geometries with cosmological constant are either Plebański-Demiański or anti-self-dual Weyl cases, yielding for lambda<0 a conformal infinity between asymptotically hyperbolic ends, one conformal to an ALE scalar-flat Kähler metric, plus new instanton topologies a
Plebanski's chiral 2-form formulation of GR reveals additional structure in Einstein's equations and supplies new analytical and numerical tools.
A survey of classification results for hyperkähler and Hermitian gravitational instantons, constructions of non-Hermitian ones via harmonic maps, and open questions in the field.
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Graviton scattering on self-dual black holes
Exact tree-level MHV graviton scattering amplitudes at arbitrary multiplicity are obtained on self-dual Taub-NUT backgrounds using twistor theory, including spin via Newman-Janis shift, with undeformed celestial symmetries.
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On toric self-dual Einstein gravitational instantons
Toric self-dual Einstein instantons with negative cosmological constant satisfying a global conformal Kähler extension condition are precisely the Calderbank-Pedersen-Singer multipole solutions.
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On Chen-Teo geometries with cosmological constant
Einstein metrics extending Chen-Teo geometries with cosmological constant are either Plebański-Demiański or anti-self-dual Weyl cases, yielding for lambda<0 a conformal infinity between asymptotically hyperbolic ends, one conformal to an ALE scalar-flat Kähler metric, plus new instanton topologies a
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General Relativity via differential forms -- explorations in Plebanski's Formalism for GR
Plebanski's chiral 2-form formulation of GR reveals additional structure in Einstein's equations and supplies new analytical and numerical tools.
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Geometry of gravitational instantons
A survey of classification results for hyperkähler and Hermitian gravitational instantons, constructions of non-Hermitian ones via harmonic maps, and open questions in the field.