Cosmological wormholes in f(R) theories of gravity

Sebastian Bahamonde, Mubasher Jamil, Petar Pavlovic, and Marko Sossich
Phys. Rev. D 94, 044041 – Published 22 August 2016

Abstract

Motivated by recent proposals of possible wormhole existence in galactic halos, we analyze the cosmological evolution of wormhole solutions in modified f(R) gravity. We construct a dynamical wormhole that asymptotically approaches a Friedmann-Lemaître-Robertson-Walker (FLRW) universe, with supporting material going to the perfect isotropic fluid described by the equation of state for a radiation- and matter-dominated universe respectively. Our analysis is based on an approximation of a small wormhole—a wormhole that can be treated as matched with the FLRW metric at some radial coordinate much smaller than the Hubble radius, so that cosmological boundary conditions are satisfied. With a special interest in viable wormhole solutions, we refer to the results of the reconstruction procedure and use f(R) functions which lead to the experimentally confirmed ΛCDM expansion history of the Universe. Solutions we find imply no need for exotic matter near the throat of considered wormholes, while in the limit of f(R)=R this need is always present during radiation- and matter-dominated epochs.

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  • Received 26 June 2016

DOI:https://doi.org/10.1103/PhysRevD.94.044041

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Sebastian Bahamonde1,*, Mubasher Jamil2,†, Petar Pavlovic3,‡, and Marko Sossich4,§

  • 1Department of Mathematics,University College London, Gower Street, London WC1E 6BT, United Kingdom
  • 2Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), H-12, Islamabad 44000, Pakistan
  • 3Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
  • 4Department of Physics, Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, HR-10 000 Zagreb, Croatia

  • *sebastian.beltran.14@ucl.ac.uk
  • mjamil@sns.nust.edu.pk
  • petar.pavlovic@desy.de
  • §marko.sossich@net.hr

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Issue

Vol. 94, Iss. 4 — 15 August 2016

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