Charged Thin Shell Wormholes with Variable Equations of State

Ali Eid

doi:doi:10.11648/j.ajmp.20150403.13

| Peer-Reviewed

Charged Thin Shell Wormholes with Variable Equations of State

Ali Eid

Published in American Journal of Modern Physics (Volume 4, Issue 3)

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

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

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.

Cite This Article

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download

Author Information

Ali Eid

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

Download PDF

Sections

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download