2020/12/01 by M. Farasat Shamir, I. Fayyaz
Physics and Astronomy · #Black Holes and Theoretical Physics #Context (archaeology) #Cosmology and Gravitation Theories #Euclidean geometry #Exponential function #Function (biology) #Noncommutative and Quantum Gravity Theories #Representation (politics) #Spacetime #Wormhole #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-020-08689-y
published as Eur. Phys. J. C80 (2020) 1102 · 11 pages, 7 figures
openalex publication_date 2020/12/01 · arxiv created 2020/12/02 · arxiv updated 2020/12/07 · openalex created_date 2020/12/07 · openalex updated_date 2026/08/05
Abstract Motivated by recent proposals of possible wormhole shape functions, we construct a wormhole shape function by employing the Karmarkar condition for static traversable wormhole geometry. The proposed shape function generates wormhole geometry that connects two asymptotically flat regions of spacetime and satisfies the required conditions. Further, we discuss the embedding diagram in three-dimensional Euclidean space to present the wormhole configurations. The main feature of current study is to consider three well-known f ( R ) gravity models, namely exponential gravity model, Starobinsky gravity Model and Tsujikawa f ( R ) gravity model. Moreover, we investigate that our proposed shape function provides the wormhole solutions with less (or may be negligible) amount of exotic matter corresponding to the appropriate choice of f ( R ) gravity models and suitable values of free parameters. Interestingly, the solutions obtained for this shape function generate stable static spherically symmetric wormhole structure in the context of non-existence theorem in f ( R ) gravity. This may lead to a better analytical representation of wormhole solutions in other modified gravities for the suggested shape function.