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• W3034060078 abstract "In this paper we study some aspects of classical and quantum cosmology in the novel-Gauss-Bonnet (nGB) gravity in four space-time dimensions. Starting with a generalised Friedmann-Lema^itre-Robertson Walker (FLRW) metric respecting homogeneity and isotropicity in arbitrary space-time dimension $D$, we find the action of theory in four spacetime dimension where the limit $Dto4$ is smoothly obtained after an integration by parts. The peculiar rescaling of Gauss-Bonnet coupling by factor of $D-4$ results in a non-trivial contribution to the action. We study the system of equation of motion to first order nGB coupling. We then go on to compute the transition probability from one $3$-geometry to another directly in Lorentzian signature. We make use of combination of WKB approximation and Picard-Lefschetz (PL) theory to achieve our aim. PL theory allows to analyse the path-integral directly in Lorentzian signature without doing Wick rotation. Due to complication caused by non-linear nature of action, we compute the transition amplitude to first order in nGB coupling. We find non-trivial correction coming from the nGB coupling to the transition amplitude, even if the analysis was done perturbatively. We use this result to investigate the case of classical boundary conditions." @default.
• W3034060078 created "2020-06-12" @default.
• W3034060078 creator A5056192937 @default.
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• W3034060078 date "2020-06-04" @default.
• W3034060078 modified "2023-09-27" @default.
• W3034060078 title "Lorentzian quantum cosmology in novel Gauss-Bonnet gravity from Picard-Lefschetz methods" @default.
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• W3034060078 hasPublicationYear "2020" @default.
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