2013/12/30 by Farook Rahaman, Ayan Banerjee, Mubasher Jamil +2 · 76 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Distribution (mathematics) #Exponent #Function (biology) #Geometry #Gravitation #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Point (geometry) #Power law #Statistics #Theoretical physics #Wormhole #gr-qc
paper · pdf · doi:10.1007/s10773-013-1993-5
published in International Journal of Theoretical Physics 53(6), 1910-1919 (Springer Science+Business Media) · 9 apges 4 groups of plots. Accepted in Int.J.Theor.Phys
arxiv created 2013/12/30 · openalex publication_date 2014/01/10 · arxiv updated 2015/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we derive some new exact solutions of static wormholes in f(R) gravity supported by the matter possesses Lorentizian density distribution of a particle-like gravitational source. We derive the wormhole's solutions in two possible schemes for a given Lorentzian distribution: assuming an astrophysically viable F(R) function such as a power-law form and discuss several solutions corresponding to different values of the exponent (here F =(df)/(dR)). In the second scheme, we consider particular form of two shape functions and have reconstructed f(R) in both cases. We have discussed all the solutions with graphical point of view.