1. Traversable wormhole modelling with exponential and hyperbolic shape functions in F(R,T) framework.
- Author
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Shweta, Mishra, Ambuj Kumar, and Sharma, Umesh Kumar
- Subjects
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GENERAL relativity (Physics) , *HYPERBOLIC functions , *GRAVITATIONAL potential , *GRAVITATION - Abstract
The concept of traversable wormhole, a hypothetical tunnel-like structure is initially proposed by Morris and Thorne (Am. J. Phys.56, 395 (1988)) by using Einstein's general relativity theory. Harko et al. (Phys. Rev. D84, 024020 (2011)) defined F (R , T) gravity as an extended gravitational theory having terms R and T as Ricci scalar and trace of energy momentum respectively. In this article, we explore wormhole models for the framework of F (R , T) gravity by using two different shape functions. The first shape function is b (r) = r 0 a r a r 0 , a ∈ (0 , 1) (proposed by Mishra and Sharma, arXiv:2003.00298v1 , 2020) and second is a hyperbolic shape function which is of the form b (r) = r 0 cosh (r 0) cosh (r) . Geometrical behavior of wormholes are discussed in anisotropic scenario by using equation of state ω = p r ρ . The stability of models are analyzed by using equilibrium condition and determining gravitational force, anisotropic force, hydrostatic force and force due to modified gravity. For the validation of null energy condition and weak energy condition, significant role of shape function is illustrated for the presence of nonexotic matter. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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