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Cosmologically viable $f(R)$ model and wormhole solutions

Aug 30, 2022

11 pages

Published in:

Int.J.Geom.Meth.Mod.Phys. 19 (2022) 14, 2250224

Published: Aug 30, 2022

DOI:

10.1142/S0219887822502243

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Abstract: (WSP)

In this paper, Morris Thorne wormholes are considered in the context of f(R) gravity. A shape function is defined as b(r) = r0(1 − k) + kr02 r, where k is constant. The equation of state is considered as pt = −ρ and f(R) function is derived. The wormhole solutions are obtained and energy conditions are examined. Further, the f(R) model is found to be consistent with local gravity tests and stability of cosmological perturbations and late-time de Sitter point. Cosmological evolution is also explored using Friedman-Robertson-Walker (FRW) metric in f(R) gravity.

Wormhole solutions
f(R) gravity
energy condition
gravitation: f(R)
gravitation: energy
gravitation: local
wormhole
perturbation
Robertson-Walker
equation of state

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