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Matter coupling to degenerate spacetimes in first order gravity

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arxiv 1803.06147 v1 pith:EHMEJUZI submitted 2018-03-16 gr-qc

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keywords mattergravitymetricsorderdegeneratefieldsfirstinvertible
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We develop a systematic study of the equations of motion in the first order gravity with matter fields for degenerate metrics. Like the Hilbert-Palatini action functional for pure gravity, the action functionals for matter fields used are first order. These are defined for both invertible and non- invertible metrics. Description for invertible metrics is equivalent to second order gravity theory with matter. For degenerate metrics the theory describes a different phase. The analysis for tetrads with one zero eigen value in theory with scalar, Abelian vector gauge and fermion matter fields is presented in detail.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm

    gr-qc 2025-02 reject novelty 5.0 of 10

    A covariant Moore-Penrose algorithm for complex degenerate metrics is formulated, but its uniqueness and torsion interpretation depend on an arbitrary auxiliary metric and the central proof is incomplete.

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