TY  - JOUR
AU  - Arrechea, J.
AU  - Delhom, A.
AU  - Jimenez-Cano, A.
PY  - 2021
DA  - 2021//
TI  - Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity
T2  - Chin. Phys. C
JO  - Chinese Physics C
SP  - 013107
EP  - 8pp
VL  - 45
IS  - 1
PB  - Iop Publishing Ltd
KW  - alternative theories of gravity
KW  - singularities
KW  - Einstein-Gauss-Bonnet
AB  - We attempt to clarify several aspects concerning the recently presented four-dimensional Einstein-Gauss-Bonnet gravity. We argue that the limiting procedure outlined in [Phys. Rev. Lett. 124, 081301 (2020)] generally involves ill-defined terms in the four dimensional field equations. Potential ways to circumvent this issue are discussed, alongside remarks regarding specific solutions of the theory. We prove that, although linear perturbations are well behaved around maximally symmetric backgrounds, the equations for second-order perturbations are ill-defined even around a Minkowskian background. Additionally, we perform a detailed analysis of the spherically symmetric solutions and find that the central curvature singularity can be reached within a finite proper time.
SN  - 1674-1137
UR  - https://arxiv.org/abs/2004.12998
UR  - https://doi.org/10.1088/1674-1137/abc1d4
DO  - 10.1088/1674-1137/abc1d4
LA  - English
N1  - WOS:000606026400001
ID  - Arrechea_etal2021
ER  -