Breaking the scale invariance of the primordial power spectrum in Horava-Lifshitz Cosmology

Abstract

We study the spectral tilt of primordial perturbations in Horava-Lifshitz cosmology. The uniform approximation, which is a generalization of the familiar Wentzel-Kramers-Brillouin (WKB) method, is employed to compute the spectral index both numerically and analytically in a closed form. We clarify how the spectral index depends on the inflation model and parameters in the modified dispersion relation.

arXiv comment5 pages, 2 figures, accepted for publication in Physical Review D

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• Cosmological perturbations in Horava-Lifshitz theory without detailed balance
• Dynamical behavior in mimetic F(R) gravity
• On Horava-Lifshitz "Black Holes"
• Emergent universe from the Hořava-Lifshitz gravity
• Scalar field perturbations in Horava-Lifshitz cosmology
• Horava-Lifshitz Holography
• Fluctuations in a Hořava-Lifshitz Bouncing Cosmology
• Black holes and stars in Horava-Lifshitz theory with projectability condition
• Oscillating Universe in Horava-Lifshitz Gravity
• Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity
• Large scale evolution of the curvature perturbation in Horava-Lifshitz cosmology
• Cosmology in nonrelativistic general covariant theory of gravity
• Cosmological perturbations in a healthy extension of Horava gravity
• Surplus Solid Angle as an Imprint of Horava-Lifshitz Gravity
• Inflationary cosmology with nonlinear dispersion relations
• Vector and tensor perturbations in Horava-Lifshitz cosmology
• Black holes and global structures of spherical spacetimes in Horava-Lifshitz theory
• Gravitational quantum effects on power spectra and spectral indices with higher-order corrections
• High-order Primordial Perturbations with Quantum Gravitational Effects
• Constructing analytical solutions of linear perturbations of inflation with modified dispersion relations
• Primordial magnetic field from non-inflationary cosmic expansion in Horava-Lifshitz gravity
• Inflation in general covariant theory of gravity
• Oscillating Bianchi IX Universe in Horava-Lifshitz Gravity
• A phase space description of the FLRW quantum cosmology in Ho$\check{\mathrm{r}}$ava-Lifshitz type gravity
• The cosmological constant as an eigenvalue of the Hamiltonian constraint in Horava-Lifshits theory
• Stability of Singularity-free Cosmological Solutions in Hořava-Lifshitz Gravity
• Matter couplings in Horava-Lifshitz and their cosmological applications
• Power spectra of scalar and tensor modes in modified Horava-Lifshitz gravity