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arXiv · 1609.02344

New solutions in pure gravity with degenerate tetrads

Romesh K. Kaul·Sandipan Sengupta
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Abstract

In first order formulation of pure gravity, we find a new class of solutions to the equations of motion represented by degenerate four-geometries. These configurations are described by non- invertible tetrads with two zero eigenvalues and admit non-vanishing torsion. The homogeneous ones among these infinitely many degenerate solutions admit a geometric classification provided by the three fundamental geometries that a closed two-surface can accomodate, namely, E^2 , S^2 and H^2.

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Romesh K. Kaul, Sandipan Sengupta. 2016-09-08. New solutions in pure gravity with degenerate tetrads. https://doi.org/10.1103/physrevd.94.104047

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