Lorentz-violating brane worlds and cosmological perturbations

Abstract

We consider an inflating brane-world setup in which 4-dimensional Lorentz-invariance is violated at high 3-momentum scale $P_{LV}\gg H$, where $H$ is the inflationary Hubble parameter. We study massless scalar field in this background as a model for cosmological perturbations. Towards the end of inflation, the spectrum has both the standard, 4-dimensional part due to a brane-localized mode, and exotic, bulk induced contribution. The suppression of the latter is power-law only, $(H/P_{LV}{)}^{\alpha }$, provided that there exist bulk modes with energies $\omega \ll H$. Contrary to general expectations, the exponent $\alpha$ may be smaller than 2, and even smaller than 1, depending on details of the bulk geometry. Furthermore, the overall amplitude of the bulk-induced perturbations is enhanced as compared to the standard part, so the effects due to Lorentz-violation may dominate over the standard mechanism even for $P_{LV}\gg H$.

15 pages, revtex

References in corpus (3)

• Back-Reaction and the Trans-Planckian Problem of Inflation Revisited
• Lorentz-violation and cosmological perturbations: a toy brane-world model
• Ultra-large distance modification of gravity from Lorentz symmetry breaking at the Planck scale

Cited by in corpus (22)

• Lorentz Violating Inflation
• On Existence of Self-Tuning Solutions in Static Braneworlds without Singularities
• Bigravity and Lorentz-violating Massive Gravity
• UV stable, Lorentz-violating dark energy with transient phantom era
• Trans-Planckian wimpzillas
• Influence of Lorentz violation on Dirac quasinormal modes in the Schwarzschild black hole spacetime
• Gravitational quantum effects on power spectra and spectral indices with higher-order corrections
• Cosmological spectrum of two-point correlation function from vacuum fluctuation of Stringy Axion field in De Sitter space: A study of the role of Quantum Entanglement
• Spectra of Field Fluctuations in Braneworld Models with Broken Bulk Lorentz Invariance
• Aspects of Infrared Modifications of Gravity
• Signatures of trans-Planckian dispersion in inflationary spectra
• Primordial perturbations from slow-roll inflation on a brane
• Superluminal Dark Neutrinos
• Noether and Belinfante corrected types of currents for perturbations in the Einstein-Gauss-Bonnet gravity
• Inflationary Spectra from Lorentz Violating Dissipative Models
• A Lorentz Invariance Violating Cosmology on the DGP Brane
• Kaluza-Klein brane cosmology with a bulk scalar field
• Confronting the trans-Planckian question of inflationary cosmology with dissipative effects
• Brane-world inflation: slow-roll corrections to the spectral index
• Kaluza-Klein two-brane-worlds cosmology at low energy
• Wilson Loops in Gravity Duals of Lifshitz-like Theories
• Effect of bulk Lorentz violation on anisotropic brane cosmologies