Stability of composite vacuum Heckmann wormholes in Brans-Dicke theory

Abstract

This paper discusses linearized (spherically symmetric) perturbation of static Heckmann composite thin shell wormholes in Brans-Dicke gravity. The equation of state $P={\beta }^2\sigma$ at the throat is linearized around the static solution where $\sigma$ energy density of the shell and $P$ the presume. We have shown that this thin shell wormholes is stable within the range $0\le \beta <1$ and with all values of $\omega$ except $\omega =-2$.

13 pages. arXiv admin note: substantial text overlap with arXiv:1109.2273

References in corpus (1)

• Stability of Brans-Dicke thin shell wormholes

Cited by in corpus (1)

• Thin-shell wormholes in Einstein and Einstein-Gauss-Bonnet theories of gravity