Vacua in novel 4D Einstein-Gauss-Bonnet Gravity: pathology and instability?

Abstract

We show an inconsistence of the novel 4D Einstein-Gauss-Bonnet gravity by considering a quantum tunneling process of vacua. Using standard semi-classical techniques, we analytically study the vacuum decay rate for all allowed cases in the parameter space. It turns out, without exception, that the theory either encounters a disastrous divergence of vacuum decay rate, or exhibits a confusing complex value of vacuum decay rate, or involves an infinitely instability (a large vacuum mixing). These suggest a strong possibility that the theory, at least the vacuum of the theory, is either unphysical or unstable, or has no well-defined limit as $D\to 4$.

6 pages, 1 figure

References in corpus (4)

• Superradiance and stability of the novel 4D charged Einstein-Gauss-Bonnet black hole
• Gauss-Bonnet Term on Vacuum Decay
• No de Sitter invariant vacuum in massive gravity theory with ghost
• Non-full equivalence of the four-dimensional Einstein-Gauss-Bonnet gravity and Horndeksi gravity for Bianchi type I metric

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