New general relativity does not admit physically meaningful non-trivial black holes distinct from those of the teleparallel equivalent of general relativity.
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A gauge covariant Lie derivative procedure determines co-frame and spin connection ansatzes for symmetric Riemann-Cartan geometries and solves the zero curvature constraint for corresponding metric teleparallel cases, illustrated on spherical, Gödel, de Sitter and other spacetimes.
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On non-vacuum black holes in new general relativity
New general relativity does not admit physically meaningful non-trivial black holes distinct from those of the teleparallel equivalent of general relativity.
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Using Gauge Covariant Lie Derivatives in Poincar\'{e} Gauge and Metric Teleparallel Theories of Gravity
A gauge covariant Lie derivative procedure determines co-frame and spin connection ansatzes for symmetric Riemann-Cartan geometries and solves the zero curvature constraint for corresponding metric teleparallel cases, illustrated on spherical, Gödel, de Sitter and other spacetimes.