Does the Gauss-Bonnet term stabilize wormholes?

作者：Kokubu Takafumi; Maeda Hideki; Harada Tomohiro

来源：Classical and Quantum Gravity, 2015, 32(23): 235021.

DOI：10.1088/0264-9381/32/23/235021

• wormhole
• stability
• Gauss-Bonnet
• thin-shell
• Lovelock
• higher-dimensional gravity

The effect of the Gauss-Bonnet term on the existence and dynamical stability of thin-shell wormholes as negative tension branes is studied in the arbitrary-dimensional spherically, planar and hyperbolically symmetric spacetimes. We consider radial perturbations against the shell for the solutions that have the Z(2) symmetry and admit the general relativistic limit. It is shown that the Gauss-Bonnet term shrinks the parameter region that admits static wormholes. The effect of the Gauss-Bonnet term on the stability depends on the spacetime symmetry. For planar symmetric wormholes, the Gauss-Bonnet term does not affect their stability. If the coupling constant is positive but small, the Gauss-Bonnet term tends to destabilize spherically symmetric wormholes, while it stabilizes hyperbolically symmetric wormholes. The Gauss-Bonnet term can destabilize hyperbolically symmetric wormholes as a non-perturbative effect, but spherically symmetric wormholes cannot be stable.

• 出版日期2015-12-2