Higher-dimensional thin-shell wormholes in third-order Lovelock gravity

Jun 10, 2015
10 pages
Published in:
  • Phys.Rev.D 92 (2015) 4, 044022
  • Published: Aug 14, 2015
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Abstract: (APS)
In this paper, we explore asymptotically flat charged thin-shell wormholes of third order Lovelock gravity in higher dimensions, taking into account the cut-and-paste technique. Using the generalized junction conditions, we determine the energy-momentum tensor of these solutions on the shell, and explore the issue of the energy conditions and the amount of normal matter that supports these thin-shell wormholes. Our analysis shows that for negative second-order and positive third-order Lovelock coefficients, there are thin-shell wormhole solutions that respect the weak energy condition. In this case, the amount of normal matter increases as the third-order Lovelock coefficient decreases. We also find novel solutions which possess specific regions where the energy conditions are satisfied for the case of a positive second-order and negative third-order Lovelock coefficients. Finally, a linear stability analysis in higher dimensions around the static solutions is carried out. Considering a specific cold equation of state, we find a wide range of stability regions.
Note:
  • 10 pages, 13 figures. V2: Reorganization of sections; two new appendixes; no physics changes
  • 04.20.Jb
  • 04.50.-h
  • 04.50.Kd
  • higher-order: 3
  • gravitation: Lovelock
  • solution: static
  • tensor: energy-momentum
  • stability: linear
  • wormhole
  • higher-dimensional