Cosmological perturbations in Horava-Lifshitz theory without detailed balance
Citations Over TimeTop 1% of 2010 papers
Abstract
In the Horava-Lifshitz theory of quantum gravity, two conditions---detailed balance and projectability---are usually assumed. The breaking of projectability simplifies the theory, but it leads to serious problems with the theory. The breaking of detailed balance leads to a more complicated form of the theory, but it appears to resolve some of the problems. Sotiriou, Visser and Weinfurtner formulated the most general theory of Horava-Lifshitz type without detailed balance. We compute the linear scalar perturbations of the FRW model in this form of HL theory. We show that the higher-order curvature terms in the action lead to a gravitational effective anisotropic stress on small scales. Specializing to a Minkowski background, we study the spin-0 scalar mode of the graviton, using a gauge-invariant analysis, and find that it is stable in both the infrared and ultraviolet regimes for $0\ensuremath{\le}\ensuremath{\xi}\ensuremath{\le}2/3$. However, in this parameter range the scalar mode is a ghost.
Related Papers
- → Graviton Propagator from Background-Independent Quantum Gravity(2006)190 cited
- → The Massless Limit of Bargmann–Wigner Equations for a Massive Graviton(2018)3 cited
- → Three-graviton vertex calculation and divergence analysis of higher-derivative quantum gravity(1997)1 cited
- → Quantum Gravity Solution To The Cosmological Constant Problem(2002)
- Moon and Earth Gravitational Interaction Explained with Gravitons(2018)