Note on linearized stability of Schwarzschild thin-shell wormholes with variable equations of state - INSPIRE

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Note on linearized stability of Schwarzschild thin-shell wormholes with variable equations of state

Victor Varela
(
- Unlisted, US
)

Oct 23, 2013

11 pages

Published in:

Phys.Rev.D 92 (2015) 044002

Published: Aug 3, 2015

e-Print:

1310.6420 [gr-qc]

DOI:

10.1103/PhysRevD.92.044002

View in:

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Abstract: (APS)

We discuss how the assumption of variable equation of state (EoS) allows the elimination of the instability at equilibrium throat radius a0=3M featured by previous Schwarzschild thin-shell wormhole models. Unobstructed stability regions are found for three choices of variable EoS. Two of these EoS entail linear stability at every equilibrium radius. Particularly, the thin shell remains stable as a0 approaches the Schwarzschild radius 2M. A perturbative analysis of the wormhole equation of motion is carried out in the case of variable Chaplygin EoS. The squared proper angular frequency ω02 of small throat oscillations is linked with the second derivative of the thin-shell potential. In various situations ω02 remains positive and bounded in the limit a0→2M.

Note:

Fifth version. 15 pages. Almost completely rewritten. Extended analysis. New references

04.20.-q
04.20.Jb
stability: linear
space-time: Schwarzschild
field theory: scalar
velocity: acoustic
wormhole
throat
equation of state
effective potential

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