English

Traversable wormholes in $f(R)$-massive gravity

General Relativity and Quantum Cosmology 2020-10-14 v2

Abstract

In this work, the study of traversable wormholes in f(R)f(R)-massive gravity with the function f(R)=R+α1Rnf(R)=R+\alpha_{1} R^{n}, where α1\alpha_{1} and nn are arbitrary constants, is considered. We choose the modified shape function b(r)b(r). We consider a spherically symmetric and static wormhole metric and derive field equations. Moreover, we visualize the wormhole geometry using embedding diagrams. Furthermore, we check the null, weak, dominant and strong energy conditions at the wormhole throat with a radius r0r_{0} invoking three types of redshift functions, Φ=constant,γ1/r,log(1+γ2/r)\Phi={\rm constant},\gamma_{1}/r,\,\log(1+\gamma_{2}/r) with γ1\gamma_{1} and γ2\gamma_{2} are arbitrary real constants. We also compute the volume integral quantifier to calculate the amount of the exotic matter near the constructed wormhole throat.

Keywords

Cite

@article{arxiv.2003.01544,
  title  = {Traversable wormholes in $f(R)$-massive gravity},
  author = {Takol Tangphati and Auttakit Chatrabhuti and Daris Samart and Phongpichit Channuie},
  journal= {arXiv preprint arXiv:2003.01544},
  year   = {2020}
}

Comments

v2: 24 pages, many figures, 3 tables, the title changed reflecting a major revision

R2 v1 2026-06-23T14:02:06.256Z