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arXiv · 1602.04559

Degenerate spacetimes in first order gravity

Romesh K. Kaul·Sandipan Sengupta
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Abstract

We present a systematic framework to obtain the most general solutions of the equations of motion in first order gravity theory with degenerate tetrads. There are many possible solutions. Generically, these exhibit non-vanishing torsion even in the absence of any matter coupling. These solutions are shown to contain a special set of eight configurations which are associated with the homogeneous model three-geometries of Thurston.

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Romesh K. Kaul, Sandipan Sengupta. 2016-02-15. Degenerate spacetimes in first order gravity. https://doi.org/10.1103/physrevd.93.084026

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