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Effects of the generalized uncertainty principle on the inflation parameters. (English) Zbl 1193.83069

Summary: We investigate the effects of the generalized uncertainty principle on the inflationary dynamics of the early universe from both the standard and the braneworld viewpoint. We choose the Randall-Sundrum II model as our underlying braneworld scenario. We find that the quantum-gravitational effects lead to a spectral index which is not scale-invariant. Also, the amplitude of density fluctuations is reduced by increasing the strength of quantum-gravitational corrections. However, the tensor-to-scalar ratio increases by incorporation of these quantum gravity effects. We outline possible manifestations of these quantum gravity effects in the recent and future observations.

MSC:

83F05 Relativistic cosmology
83C45 Quantization of the gravitational field
81S10 Geometry and quantization, symplectic methods
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
85A40 Astrophysical cosmology
83C25 Approximation procedures, weak fields in general relativity and gravitational theory

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