TY  - JOUR
AU  - Bejarano, C.
AU  - Delhom, A.
AU  - Jimenez-Cano, A.
AU  - Olmo, G. J.
AU  - Rubiera-Garcia, D.
PY  - 2020
DA  - 2020//
TI  - Geometric inequivalence of metric and Palatini formulations of General Relativity
T2  - Phys. Lett. B
JO  - Physics Letters B
SP  - 135275
EP  - 4pp
VL  - 802
PB  - Elsevier
AB  - Projective invariance is a symmetry of the Palatini version of General Relativity which is not present in the metric formulation. The fact that the Riemann tensor changes nontrivially under projective transformations implies that, unlike in the usual metric approach, in the Palatini formulation this tensor is subject to a gauge freedom, which allows some ambiguities even in its scalar contractions. In this sense, we show that for the Schwarzschild solution there exists a projective gauge in which the (affine) Kretschmann scalar, K (R beta μnu R alpha beta μnu)-R-alpha, can be set to vanish everywhere. This puts forward that the divergence of curvature scalars may, in some cases, be avoided by a gauge transformation of the connection.
SN  - 0370-2693
UR  - https://arxiv.org/abs/1907.04137
UR  - https://doi.org/10.1016/j.physletb.2020.135275
DO  - 10.1016/j.physletb.2020.135275
LA  - English
N1  - WOS:000515091400031
ID  - Bejarano_etal2020
ER  -