Is expansion blind to the spatial curvature?

Vigneron, Quentin; Poulin, Vivian

doi:10.1103/physrevd.108.103518

Phys. Rev. D

2023

DOI: 10.1103/physrevd.108.103518

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Is expansion blind to the spatial curvature?

Quentin Vigneron,

Vivian Poulin

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2024

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Cited by 2 publications

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Non-Relativistic Regime and Topology: Topological Term in the Einstein Equation

Vigneron

2024

Found Phys

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Non-Relativistic Regime and Topology: Topological Term in the Einstein Equation

Vigneron

2024

Found Phys

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A natural model for curved inflation

Vigneron,

Larena

2024

Class. Quantum Grav.

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Inflationary models with a non-zero background curvature require additional hy- pothesis or parameters compared to flat inflation and the procedure to construct them cannot be as simple as in the flat case. For this reason, there is no consen- sus on the primordial power spectrum that should be considered at large scales in a curved Universe. In this letter, we propose a model of curved inflation in which the usual canonical quantization and Bunch–Davies vacuum choice of the flat case can be considered. The framework is a recently proposed modification of general relativity in which a non-dynamical topological term is added to the Einstein equation. The model is universal as it is the same for any background curvature, and no additional parameters or hypothesis on the initial spatial curvature are introduced. This gives a natural and simple solution to the problem of constructing curved inflation, and at the same time provides an additional argument for this topological modification of general relativity.

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Is expansion blind to the spatial curvature?

Cited by 2 publications

References 32 publications

Non-Relativistic Regime and Topology: Topological Term in the Einstein Equation

Non-Relativistic Regime and Topology: Topological Term in the Einstein Equation

A natural model for curved inflation

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