2020/12/27 by Salvatore Capozziello, Salvatore Capozzıello, Capozziello, Salvatore +4 · 5 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #Function (biology) #General Relativity and Quantum Cosmology (gr-qc) #General relativity #Geometry #Geophysics and Gravity Measurements #Gravitation #High Energy Astrophysical Phenomena (astro-ph.HE) #High Energy Physics - Theory (hep-th) #Inverse #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Speed of sound #Theoretical physics #Wormhole #astro-ph.HE #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.2012.13908
published in arXiv (Cornell University) (Cornell University) · 11 pages, 2 figures
arxiv created 2020/12/27 · openalex publication_date 2020/12/27 · arxiv updated 2020/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive exact traversable wormhole solutions in the framework of f(R) gravity with no exotic matter and with stable conditions over the geometric fluid entering the throat. For this purpose, we propose power-law f(R) models and two possible approaches for the shape function b(r)/r. The first approach makes use of an inverse power law function, namely b(r)/r∼ r-1-β. The second one adopts Padé approximants, used to characterize the shape function in a model-independent way. We single out the P(0,1) approximant where the fluid perturbations are negligible within the throat, if the sound speed vanishes at r=r0. The former guarantees an overall stability of the geometrical fluid into the wormhole. Finally we get suitable bounds over the parameters of the model for the above discussed cases. In conclusion, we find that small deviations from General Relativity give stable solutions.