Traversable wormholes in f(R) massive gravity

Takol Tangphati, Auttakit Chatrabhuti, Daris Samart, and Phongpichit Channuie
Phys. Rev. D 102, 084026 – Published 13 October 2020

Abstract

In this work, the study of traversable wormholes in f(R) massive gravity with the function f(R)=R+α1Rn, where α1 and n are arbitrary constants, is considered. We choose the shape function of the form b(r)=rexp(α(rr0)) with α and r0 being an arbitrary constant and a radius of the wormhole throat, respectively. Here α affects the radius of curvature of the wormhole. 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 r0 invoking three types of redshift functions, Φ=constant, γ1/r, log(1+γ2/r) with γ1 and γ2 are arbitrary real constants. We also compute the volume integral quantifier to calculate the amount of the exotic matter near the constructed wormhole throat.

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  • Received 10 June 2020
  • Accepted 23 September 2020
  • Corrected 16 March 2021

DOI:https://doi.org/10.1103/PhysRevD.102.084026

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Corrections

16 March 2021

Correction: The author names in Ref. [7] were presented incorrectly and have been fixed.

Authors & Affiliations

Takol Tangphati1,*, Auttakit Chatrabhuti1,†, Daris Samart2,‡, and Phongpichit Channuie3,4,5,6,§

  • 1Department of Physics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand
  • 2Department of Physics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
  • 3School of Science, Walailak University, Nakhon Si Thammarat 80160, Thailand
  • 4College of Graduate Studies, Walailak University, Nakhon Si Thammarat 80160, Thailand
  • 5Research Group in Applied, Computational and Theoretical Science (ACTS), Walailak University, Nakhon Si Thammarat 80160, Thailand
  • 6Thailand Center of Excellence in Physics, Ministry of Higher Education, Science, Research and Innovation, Bangkok 10400, Thailand

  • *takoltang@gmail.com
  • auttakit@sc.chula.ac.th
  • darisa@kku.ac.th
  • §channuie@gmail.com

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Issue

Vol. 102, Iss. 8 — 15 October 2020

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