2019/08/12 by Hanif Golchin, Mohammad Reza Mehdizadeh · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Context (archaeology) #Cosmology and Gravitation Theories #Einstein #Energy condition #General relativity #Mathematical physics #Physics #Quantum gravity #Quantum mechanics #Spacetime #Wormhole #f(R) gravity #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-019-7292-4
13 pages
arxiv created 2019/08/12 · openalex publication_date 2019/09/01 · arxiv updated 2019/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract In this paper, we study traversable wormholes in the context of f ( R ) gravity. Exact solutions of traversable wormholes are found by imposing the nonconstant Ricci scalar. These solutions asymptotically match spherical, flat and hyperbolic FRW metric. By choosing some static f ( R ) gravity models, we verify the standard energy conditions for the asymptotically spherical, flat and hyperbolic wormhole solutions. Unlike the Einstein gravity, we find that in the context of f ( R ) modified gravity, the asymptotically spherical, flat and hyperbolic wormhole solutions can respect the null energy condition (NEC) at the wormhole throat and near that. We find that in some static f ( R ) models, asymptotically flat and hyperbolic wormholes respect the weak energy condition (WEC) through the whole space.