New solutions in pure gravity with degenerate tetrads
RK Kaul, S Sengupta - Physical Review D, 2016 - APS
RK Kaul, S Sengupta
Physical Review D, 2016•APSIn first-order formulation of pure gravity, we find a new class of solutions to the equations of
motion represented by degenerate 4-geometries. These configurations are described by
noninvertible tetrads with two zero eigenvalues and admit nonvanishing torsion. The
homogeneous ones among these infinitely many degenerate solutions admit a geometric
classification provided by the three fundamental geometries that a closed 2-surface can
accomodate, namely, E 2, S 2, and H 2.
motion represented by degenerate 4-geometries. These configurations are described by
noninvertible tetrads with two zero eigenvalues and admit nonvanishing torsion. The
homogeneous ones among these infinitely many degenerate solutions admit a geometric
classification provided by the three fundamental geometries that a closed 2-surface can
accomodate, namely, E 2, S 2, and H 2.
In first-order formulation of pure gravity, we find a new class of solutions to the equations of motion represented by degenerate 4-geometries. These configurations are described by noninvertible tetrads with two zero eigenvalues and admit nonvanishing torsion. The homogeneous ones among these infinitely many degenerate solutions admit a geometric classification provided by the three fundamental geometries that a closed 2-surface can accomodate, namely, , , and .
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