Charged Thin Shell Wormholes with Variable Equations of State
American Journal of Modern Physics
Volume 4, Issue 3, May 2015, Pages: 118-124
Received: Apr. 20, 2015; Accepted: Apr. 28, 2015; Published: May 8, 2015
Views 4606      Downloads 201
Author
Ali Eid, Department of Physics, College of Science, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, KSA; Department of Astronomy, Faculty of Science, Cairo University, Giza, Egypt
Article Tools
Follow on us
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.
Keywords
General Relativity, Astrophysics, Cosmology, Gravitation
To cite this article
Ali Eid, Charged Thin Shell Wormholes with Variable Equations of State, American Journal of Modern Physics. Vol. 4, No. 3, 2015, pp. 118-124. doi: 10.11648/j.ajmp.20150403.13
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.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186