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

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

Fu-Wen Shu
(
- Nanchang U. and
- Baylor U., Waco
)

Apr 20, 2020

6 pages

Published in:

Phys.Lett.B 811 (2020) 135907

Published: Dec 10, 2020

e-Print:

2004.09339 [gr-qc]

DOI:

10.1016/j.physletb.2020.135907

View in:

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Abstract: (Elsevier)

We show an inconsistence of the novel 4D Einstein-Gauss-Bonnet gravity by considering a quantum tunneling process of vacua. Based on standard semiclassical techniques, we find a nonperturbative way to the study of the vacuum decay rate of the theory. We analytically compute 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 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→4 .

Note:

6 pages, 1 figure

tunneling: quantum
decay rate
Gauss-Bonnet term
vacuum state
stability
gravitation: model
mixing
dimension: 4
model: semiclassical
asymptotic behavior

References(51)

Figures(1)

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