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Energy conditions and stability in generalized f(R) gravity with arbitrary coupling between matter and geometry

2010/04/28 by Jun Wang, Ya-Bo Wu, Yabo Wu +5 · 1 citation
Mathematics · Physics and Astronomy · #Artificial intelligence #Astrophysics #Black Holes and Theoretical Physics #Class (philosophy) #Computer science #Cosmology #Cosmology and Gravitation Theories #Coupling (piping) #Degenerate energy levels #Energy (signal processing) #Friedmann–Lemaître–Robertson–Walker metric #Materials science #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Stability (learning theory) #astro-ph.CO #gr-qc

paper · pdf · doi:10.1016/j.physletb.2010.04.063

published as Phys. Lett. B 689 (2010) 133-138 · 12 pages. arXiv admin note: substantial text overlap with arXiv:1203.5593, arXiv:1212.4656

openalex publication_date 2010/04/28 · arxiv created 2012/12/20 · arxiv updated 2015/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The energy conditions and the Dolgov–Kawasaki criterion in generalized f(R) gravity with arbitrary coupling between matter and geometry are derived in this Letter, which are quite general and can degenerate to the well-known energy conditions in GR and f(R) gravity with non-minimal coupling and non-coupling as special cases. In order to get some insight on the meaning of these energy conditions and the Dolgov–Kawasaki criterion, we apply them to a class of models in the FRW cosmology and give some corresponding results.

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