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On the Relations between Gravity and BF Theories

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abstract

We review, in the light of recent developments, the existing relations between gravity and topological BF theories at the classical level. We include the Plebanski action in both self-dual and non-chiral formulations, their generalizations, and the MacDowell-Mansouri action.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

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On the Plebanski Formulation with Energy Momentum

gr-qc · 2026-06-18 · unverdicted · novelty 3.0

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.

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  • On the Plebanski Formulation with Energy Momentum gr-qc · 2026-06-18 · unverdicted · none · ref 32 · internal anchor

    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.