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arXiv 2004.093392020-04-22gr-qcastro-ph.COhep-th

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

Fu-Wen Shu

备注：: 6 pages, 1 figure
DOI：: 10.1016/j.physletb.2020.135907

英文摘要：

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 $D\rightarrow 4$.

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