Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation

Abstract

We investigate various types of Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation, which describe the decay of the vacuum state at a hilltop potential through the tunneling without a barrier. It is shown that the vacuum states are modified by the non-minimally coupled higher-curvature term. Accordingly, we present the new type of solutions describing the tunneling from new vacuum states in anti-de Sitter and de Sitter backgrounds. The decay probabilities of vacuum states are also influenced. Consequently, we show that the semiclassical exponents can be decreased for specific parameter ranges, which make the tunneling probabilities enhanced.

9 pages, 9 figures, Typo corrections, Reference added, Published version

References in corpus (19)

• Building an AdS/CFT superconductor
• Effective Holographic Theories for low-temperature condensed matter systems
• Introduction to Holographic Superconductor Models
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions I -- Asymptotically Flat Black Holes --
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• Ricci Flat Black Holes and Hawking-Page Phase Transition in Gauss-Bonnet Gravity and Dilaton Gravity
• Topological deformation of isolated horizons
• Fake Supersymmetry and Extremal Black Holes
• Hawking-Page phase transition in BTZ black hole revisited
• Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method
• Thermodynamic phase transition in the rainbow Schwarzschild black hole
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions III -- Asymptotically AdS Black Holes with $k=\pm 1$ --
• Thermodynamics of Gauss-Bonnet black holes revisited
• Negative modes of Coleman-De Luccia bounces
• Gauss-Bonnet Term on Vacuum Decay
• Towards a Solution of the Negative Mode Problem in Quantum Tunnelling with Gravity
• Oscillating Fubini instantons in curved space
• Dynamical Condensation in a Holographic Superconductor Model with Anisotropy
• Thermodynamic phase transition based on the non-singular temperature

Cited by in corpus (7)

• Rotating black holes with an anisotropic matter field
• Stability and topological nature of charged Gauss-Bonnet AdS black holes in five dimensions
• WIMPs in Dilatonic Einstein Gauss-Bonnet Cosmology
• Gauss-Bonnet Cosmology: large-temperature behaviour and bounds from Gravitational Waves
• Hairy black holes in dilatonic Einstein-Gauss-Bonnet theory
• NUT Solutions in Einstein-Maxwell-scalar-Gauss-Bonnet Gravity
• Phase transition for a black hole with matter fields and the relation with the Lyapunov exponent