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RESEARCH PRODUCT
Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity
Alejandro Jiménez-canoJulio ArrecheaAdrià Delhomsubject
PhysicsNuclear and High Energy PhysicsGovernment010308 nuclear & particles physicsCenter of excellenceFOS: Physical sciencesAstronomy and AstrophysicsGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum CosmologyManagementsymbols.namesakeState agencyWork (electrical)0103 physical sciencessymbolsChristian ministryEinstein010306 general physicsInstrumentationdescription
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. © 2021 Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-01-01 |