A phase space description of the FLRW quantum cosmology in Hořava–Lifshitz type gravity

Cordero, Rubén; García‐Compeán, Hugo; Turrubiates, Francisco J.

doi:10.1007/s10714-019-2627-x

Cited by 21 publications

(32 citation statements)

References 99 publications

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“…7 For simplicity, in the following we use natural units. 8 The parameters, g c , g Λ , g r , and g s , although apparently simple, represent trick terms containing different orders of spacetime curvatures (Bertolami & Zarro, 2011;Cordero et al, 2019;He & Cai, 2020).…”

Section: Analytically Continued Wdw Equationmentioning

confidence: 99%

Pushing the limits of time beyond the Big Bang singularity: Scenarios for the branch cut universe

et al. 2021

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In this contribution, we identify two scenarios for the evolutionary branch cut universe. In the first scenario, the universe evolves continuously from the negative complex cosmological time sector, prior to a primordial singularity, to the positive one, circumventing continuously a branch cut, and no primordial singularity occurs in the imaginary sector, only branch points. In the second scenario, the branch cut and branch point disappear after the realization of the imaginary component of the complex time by means of a Wick rotation, which is replaced by the thermal time. In the second scenario, the universe has its origin in the Big Bang, but the model contemplates simultaneously a mirrored parallel evolutionary universe going backwards in the cosmological thermal time negative sector.A quantum formulation based on the Wheeler-DeWitt equation is sketched and preliminary conclusions are drawn.

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Section: Analytically Continued Wdw Equationmentioning

confidence: 99%

Pushing the limits of time beyond the Big Bang singularity: Scenarios for the branch cut universe

et al. 2021

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“…where k = 1, 0, −1 for closed, flat or open Universe, respectively, has been extensively studied (see for instance, [8,11,14]). In this background the HL action is given by…”

Section: Quantum Euclidean Wormholes In Hořava-lifshitz Gravitymentioning

confidence: 99%

“…the Wheeler-DeWitt (WDW) equation) for a FLRW metric, both: projectable and non-projectable models will give the same results and the IR perturbative instability is not evident. Some of the papers describing some solutions of Hořava-Lifshitz's gravity in quantum cosmology in the minisuperspace are [8,9,10,11,12,13,14].…”

Section: Introductionmentioning

confidence: 99%

Euclidean wormholes in Hořava-Lifshitz gravity

García‐Compeán

Vázquez

2020

Phys. Rev. D

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We study Euclidean wormholes in the framework of the Hořava-Lifshitz theory of gravity. Euclidean wormholes first appeared in the Euclidean path integral approach to quantum gravity. In a more general way, Hawking and Page interpreted such configurations as solutions to the Wheeler-DeWitt equation with appropriate boundary conditions. We use the projectable version of Hořava-Lifshitz gravity to obtain the Wheeler-DeWitt equation of a minisuperspace model considering a closed Friedmann Universe plus a massless scalar field. For large values of the scale factor we find that the solution of the Wheeler-DeWitt equation coincides with the one obtained by Hawking. Whereas in the limit corresponding to the early Universe we find a new set of solutions, which agree with the Hawking and Page boundary conditions for wormholes.

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“…In the following we consider the analytic continued WdW equation considering an adaptation of the mini-superspace model for the projectable Hořava-Lifshitz gravity 14 For simplicity in the following we use natural units (for comparison see for instance [51,53,54]:…”

Section: Analytic Continued Wdw Equation With Extrinsic Curvaturementioning

confidence: 99%

“…-∂ 2 ∂u 2 + V WdWHL (u) Ψ(u) = 0 , (8.18) with V WdWHL (u) = 2V [ac]WdW (u) + V HL (u) , (8.19) where V HL (u) represents an adaptation of the Hořava-Lifshitz gravity potential (for comparison see [51,53,54])…”

Section: Solutionsmentioning

confidence: 99%

Pushing the limits of General Relativity beyond the Big Bang singularity

et al. 2019

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The predictions of General Relativity suggest a universe in which, as we follow time backward, the hotter and the more dense it was, and the more rapidly it was expanding and that, around 13.7 billion years ago, at the extreme gravitational regime of its evolutionary process, the density, temperature, and expansion rate of the universe would start off as infinite. The General Relativity prediction of a singularity in the early universe would impose a limitation to our understanding of the cosmos and gravity, implying loss of logic and of formal consistency and predictability, making it impossible to impose initial conditions. These extreme conditions of the initial state of the universe are very far from our experimental possibilities, and presently, theoretical models allow only speculations about the avoidance of physical singularities or about the physical conditions that circumvented this drastic consequence of General Relativity. Speculations aside, in this study, we follow an analytical line in which we apply the tools of singular semi-Riemannian geometry to push the limits of General Relativity beyond the Big Bang singularity.

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A phase space description of the FLRW quantum cosmology in Hořava–Lifshitz type gravity

Cited by 21 publications

References 99 publications

Pushing the limits of time beyond the Big Bang singularity: Scenarios for the branch cut universe

Pushing the limits of time beyond the Big Bang singularity: Scenarios for the branch cut universe

Euclidean wormholes in Hořava-Lifshitz gravity

Pushing the limits of General Relativity beyond the Big Bang singularity

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