Nonlinear Dynamics in the Einstein-Gauss-Bonnet gravity

Abstract

We numerically investigated how the nonlinear dynamics depends on the dimensionality and on the higher-order curvature corrections in the form of Gauss-Bonnet (GB) terms. We especially monitored the processes of appearances of a singularity (or black hole) in two models: (i) a perturbed wormhole throat in spherically symmetric space-time, and (ii) colliding scalar pulses in plane-symmetric space-time. We used a dual-null formulation for evolving the field equations, which enables us to locate the trapping horizons directly, and also enables us to follow close to the large-curvature region due to its causal integrating scheme. We observed that the fate of a perturbed wormhole is either a black hole or an expanding throat depending on the total energy of the structure, and its threshold depends on the coupling constant of the GB terms (${\alpha }_{\mathrm{GB}}$). We also observed that a collision of large scalar pulses will produce a large-curvature region, of which the magnitude also depends on ${\alpha }_{\mathrm{GB}}$. For both models, the normal corrections (${\alpha }_{\mathrm{GB}}>0$) work for avoiding the appearance of singularity, although it is inevitable. We also found that in the critical situation for forming a black hole, the existence of the trapped region in the Einstein-GB gravity does not directly indicate the formation of a black hole.

14 pages, 10 figures, Fig.10 replaced, to be published in Phys. Rev. D. (Aug, 2017)

References in corpus (10)

• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• Instability of wormholes supported by a ghost scalar field. II. Nonlinear evolution
• Rotating Ellis Wormholes in Four Dimensions
• Causal Structures in Gauss-Bonnet gravity
• Stability of AdS in Einstein Gauss Bonnet Gravity
• $N+1$ formalism in Einstein-Gauss-Bonnet gravity
• Formation of naked singularities in five-dimensional space-time
• Black Hole Formation in AdS Einstein-Gauss-Bonnet Gravity