2021/02/01 by A. Chanda, A Chanda, S. Dey +3 · 1 citation
Physics and Astronomy · #Anisotropy #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Coupling (piping) #Differential geometry #Exotic matter #General relativity #Gravitation #Pulsars and Gravitational Waves Research #Scalar (mathematics) #Wormhole #gr-qc
paper · pdf · doi:10.1007/s10714-021-02847-7
23 pages, 15 figures
arxiv created 2021/02/01 · openalex created_date 2021/02/15 · openalex publication_date 2021/08/01 · arxiv updated 2021/08/25 · openalex updated_date 2026/08/05
We study static traversable wormholes obtained by Morris and Thorne in general relativity (GR) in the framework of a modified theory of gravity. The modified gravitational action f(R,T) is a function of the Ricci scalar (R) and of the trace of the energy momentum tensor (T). For a modified gravity f(R,T)=R+αR2+λT, where α and λ are constants, we obtain wormhole solutions (WH) with normal matter for a relevant shape functions. The energy conditions are checked at the throat and away from the throat of the WH. The coupling parameters α and λ in the gravitational action play an important role to accommodate the matter composition. For a given λ, WH solutions are found in the presence of exotic matter at the throat for α<0. It is shown that WH exists in the modified gravity without exotic matter when α>0. We consider two different shape functions to investigate the existence of WH in the presence of exotic or normal matter. A class of WH solutions exist with anisotropic fluid provided λ≠ - 8 π. In flat asymptotic regions on both sides of the throat with anisotropic source and λ= - 8 π, it does not permit WH as per no go theorem. As λ→ 0 in the gravitational action, all the energy conditions are obeyed with the hybrid shape function indicating existence of WH with normal matter.