Relic gravitational wave spectrum, the trans-Planckian physics and Hořava-Lifshitz gravity

Abstract

We calculate the spectrum of the relic gravitational wave due to the trans-Planckian effect in which the standard linear dispersion relations may be modified. Of the modified dispersion relations suggested in literatures which have investigated the trans-Planckian effect, we especially use the Corley-Jacobson dispersion relations. The Corley-Jacobson type modified dispersion relations can be obtained from Hořava-Lifshitz gravity which is non-relativistic and UV complete. Although it is not clear how the transitions from Hořava-Lifshitz gravity in the UV regime to Einstein gravity in the IR limit occur, we assume Hořava-Lifshitz gravity regime is followed by the inflationary phase in Einstein gravity.

16 pages, 2 figures; added references and comments

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Cited by in corpus (8)

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• Effects of Nonlinear Dispersion Relations on Non-Gaussianities
• Vector and tensor perturbations in Horava-Lifshitz cosmology
• The cosmological constant as an eigenvalue of the Hamiltonian constraint in Horava-Lifshits theory
• On Gauge Invariant Cosmological Perturbations in UV-modified Horava Gravity
• On Effective Spacetime Dimension in the Hořava-Lifshitz Gravity
• Propagation of gravitational waves in an expanding background in the presence of a point mass