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Charged Thin Shell Wormholes with Variable Equations of State

Received: 20 April 2015     Accepted: 28 April 2015     Published: 8 May 2015
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Abstract

Using the Darmois-Israel formalism the dynamical analysis of Reissner Nordstrom (RN) thin shell wormholes, at the wormhole throat, are determined by considering linearized radial perturbations around static solutions. Linearized stability of thin-shell wormholes with barotropic equation of state (EoS) and with two different EoS is derived. In the first case of variable EoS, with regular coefficients, a sequence of semi-infinite stability regions is found such that every throat in equilibrium becomes stable for a particular subsequence. In the second case, a singular EoS (in such variable EoS the coefficients is explicitly dependent on throat radius), the second derivative of the effective potential is positive definite, so linearized stability is guaranteed for every equilibrium radius.

Published in American Journal of Modern Physics (Volume 4, Issue 3)
DOI 10.11648/j.ajmp.20150403.13
Page(s) 118-124
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

General Relativity, Astrophysics, Cosmology, Gravitation

References
[1] W. Israel, Nuovo Cimento B, 44, 1, 1966.
[2] K. Kuchar, Czech J. Phys. B, 18, 435, 1968.
[3] V.A. Berezin, V.A. Kuzmin and I.I. tkachev, Phys. Rev. D., 36, 2919, 1987.
[4] H. Sato, Prog. Theor. Phys., 80, 96, 1988.
[5] S. W. Kim, Phys. Lett. A, 166, 13, 1992.
[6] F.S.N. Lobo and P. Crawford, Class. Quantum Grav., 22, 4869, 2005.
[7] M. Visser, Lorentzian Wormholes, AIP Press, New York, 1996.
[8] E.F. Eiroa and C. Simeone, Phys. Rev. D., 70, 044008, 2004.
[9] N. M. Garcia, F.S.N. Lobo and M. Visser, Phys. Rev. D, 86, 044026, 2012.
[10] J. Ponce de Leon, Class. Quant. Grav., 29, 135009, 2012.
[11] F. Rahaman, M. Kalam and S. Chakraborty, Acta Phys. Polon. B, 40, 25, 2009.
[12] P. K. F. Kuhfittig, arXiv: gr-qc: 0707.4665.
[13] K. A. Bronnikov, L. N. Lipatova, I. D. Novikov and A. A. Shatskiy, Grav. Cosmol., 19, 269, 2013.
[14] P. K. F. Kuhfittig, Acta Phys. Polon. B, 41, 2017, 2010.
[15] A. Eid, New Astro., 39, 72, 2015.
[16] E. Mottola, Acta Phys. Polon. B, 41, 2031, 2010.
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  • APA Style

    Ali Eid. (2015). Charged Thin Shell Wormholes with Variable Equations of State. American Journal of Modern Physics, 4(3), 118-124. https://doi.org/10.11648/j.ajmp.20150403.13

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    ACS Style

    Ali Eid. Charged Thin Shell Wormholes with Variable Equations of State. Am. J. Mod. Phys. 2015, 4(3), 118-124. doi: 10.11648/j.ajmp.20150403.13

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    AMA Style

    Ali Eid. Charged Thin Shell Wormholes with Variable Equations of State. Am J Mod Phys. 2015;4(3):118-124. doi: 10.11648/j.ajmp.20150403.13

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  • @article{10.11648/j.ajmp.20150403.13,
      author = {Ali Eid},
      title = {Charged Thin Shell Wormholes with Variable Equations of State},
      journal = {American Journal of Modern Physics},
      volume = {4},
      number = {3},
      pages = {118-124},
      doi = {10.11648/j.ajmp.20150403.13},
      url = {https://doi.org/10.11648/j.ajmp.20150403.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20150403.13},
      abstract = {Using the Darmois-Israel formalism the dynamical analysis of Reissner Nordstrom (RN) thin shell wormholes, at the wormhole throat, are determined by considering linearized radial perturbations around static solutions. Linearized stability of thin-shell wormholes with barotropic equation of state (EoS) and with two different EoS is derived. In the first case of variable EoS, with regular coefficients, a sequence of semi-infinite stability regions is found such that every throat in equilibrium becomes stable for a particular subsequence. In the second case, a singular EoS (in such variable EoS the coefficients is explicitly dependent on throat radius), the second derivative of the effective potential is positive definite, so linearized stability is guaranteed for every equilibrium radius.},
     year = {2015}
    }
    

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  • TY  - JOUR
    T1  - Charged Thin Shell Wormholes with Variable Equations of State
    AU  - Ali Eid
    Y1  - 2015/05/08
    PY  - 2015
    N1  - https://doi.org/10.11648/j.ajmp.20150403.13
    DO  - 10.11648/j.ajmp.20150403.13
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
    SP  - 118
    EP  - 124
    PB  - Science Publishing Group
    SN  - 2326-8891
    UR  - https://doi.org/10.11648/j.ajmp.20150403.13
    AB  - Using the Darmois-Israel formalism the dynamical analysis of Reissner Nordstrom (RN) thin shell wormholes, at the wormhole throat, are determined by considering linearized radial perturbations around static solutions. Linearized stability of thin-shell wormholes with barotropic equation of state (EoS) and with two different EoS is derived. In the first case of variable EoS, with regular coefficients, a sequence of semi-infinite stability regions is found such that every throat in equilibrium becomes stable for a particular subsequence. In the second case, a singular EoS (in such variable EoS the coefficients is explicitly dependent on throat radius), the second derivative of the effective potential is positive definite, so linearized stability is guaranteed for every equilibrium radius.
    VL  - 4
    IS  - 3
    ER  - 

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Author Information
  • Department of Physics, College of Science, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, KSA

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