Stable Lorentzian wormholes in dilatonic Einstein-Gauss-Bonnet theory

2011/11/30 by Panagiota Kanti, Burkhard Kleihaus, Jutta Kunz · 6 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Domain (mathematical analysis) #Einstein #Gauss–Bonnet theorem #Geodesic #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Spacetime #Theoretical physics #Wormhole #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.85.044007

29 pages, 18 figures, typos corrected, version published in Physical Review D

openalex publication_date 2012/02/06 · arxiv created 2012/03/21 · arxiv updated 2015/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss the properties of Lorentzian wormholes in dilatonic Einstein-Gauss-Bonnet theory in four spacetime dimensions. These wormholes do not need any form of exotic matter for their existence. A subset of these wormholes is shown to be linearly stable with respect to radial perturbations. We perform a comprehensive study of their domain of existence, and derive a generalized Smarr relation for these wormholes. We also investigate their geodesics, determining all possible particle trajectories, and perform a study of the acceleration and tidal forces that a traveler crossing the wormhole would feel.

Citations

• Static wormhole solution for higher-dimensional gravity in vacuum
• Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity
• Wormhole throats in R m gravity
• “Mass without mass” from thin shells in Gauss-Bonnet gravity
• Order α′ (two-loop) equivalence of the string equations of motion and the σ-model Weyl invariance conditions
• Maximal Extension of Schwarzschild Metric
• Effective gravity theories with dilations
• On the nature of quantum geometrodynamics
• The Particle Problem in the General Theory of Relativity

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• Generalized Ellis-Bronnikov wormhole solution in the scalar-Einstein-Gauss-Bonnet 4d gravitational model