Explicit construction of the Plebanski matter source T^i via Kulkarni-Nomizu lifting of the trace-free energy-momentum tensor that reproduces Krasnov's definition and yields the Reissner-Nordström-de Sitter solution.
Stable forms and special metrics
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abstract
We show how certain diffeomorphism-invariant functionals on differential forms in dimensions 6,7 and 8 generate in a natural way special geometrical structures in these dimensions: metrics of holonomy G2 and Spin(7), metrics with weak holonomy SU(3) and G2, and a new and unexplored example in dimension 8. The general formalism becomes a practical tool for calculating homogeneous or cohomogeneity one examples, and we illustrate this with some newly discovered cases of Spin(7) and G2 metrics.
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gr-qc 1years
2026 1verdicts
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On the Plebanski Formulation with Energy Momentum
Explicit construction of the Plebanski matter source T^i via Kulkarni-Nomizu lifting of the trace-free energy-momentum tensor that reproduces Krasnov's definition and yields the Reissner-Nordström-de Sitter solution.