Matter coupling to degenerate spacetimes in first order gravity
General Relativity and Quantum Cosmology
2019-05-22 v1
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.
Keywords
Cite
@article{arxiv.1803.06147,
title = {Matter coupling to degenerate spacetimes in first order gravity},
author = {Romesh K. Kaul},
journal= {arXiv preprint arXiv:1803.06147},
year = {2019}
}