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General Relativity and Quantum Cosmology

Title: Matter coupling to degenerate spacetimes in first order gravity

Abstract: 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.
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:1803.06147 [gr-qc]
  (or arXiv:1803.06147v1 [gr-qc] for this version)

Submission history

From: Romesh K. Kaul [view email]
[v1] Fri, 16 Mar 2018 10:27:44 GMT (16kb)