Einstein-Cartan wormhole solutions

Mohammad Reza Mehdizadeh and Amir Hadi Ziaie
Phys. Rev. D 95, 064049 – Published 28 March 2017

Abstract

In the present work, we investigate wormhole structures and the energy conditions supporting them in Einstein-Cartan theory. The matter content consists of a Weyssenhoff fluid along with an anisotropic matter which together generalize the anisotropic energy momentum tensor in general relativity (GR) to include spin effects. Assuming that the radial pressure and energy density obey a linear equation of state, we introduce exact asymptotically flat and anti–de-Sitter spacetimes that admit traversable wormholes and respect energy conditions. Such wormhole solutions are studied in detail for two specific forms for the redshift function, namely a constant redshift function and the one with power law dependency.

  • Figure
  • Figure
  • Received 7 November 2016

DOI:https://doi.org/10.1103/PhysRevD.95.064049

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Mohammad Reza Mehdizadeh1,2,* and Amir Hadi Ziaie1,†

  • 1Department of Physics, Shahid Bahonar University, P.O. Box 76175 Kerman, Iran
  • 2Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441 Maragha, Iran

  • *mehdizadeh.mr@uk.ac.ir
  • ah.ziaie@gmail.com

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Issue

Vol. 95, Iss. 6 — 15 March 2017

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