Cosmological perturbations in Horava-Lifshitz theory without detailed balance

Journal Article · Fri Jan 15 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.024009· OSTI ID:21409073

Anzhong, Wang ^[1]; Maartens, Roy ^[2]

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1. GCAP-CASPER, Physics Department, Baylor University, Waco, Texas 76798-7316 (United States)
2. Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 3FX (United Kingdom)

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{<=}{xi}{<=}2/3. However, in this parameter range the scalar mode is a ghost.

• OSTI ID: 21409073
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
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