Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.044025· OSTI ID:21504990

Anzhong, Wang; Qiang, Wu ^[1]

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1. GCAP-CASPER, Physics Department, Baylor University, Waco, Texas 76798-7316 (United States)

In this paper, we consider two different issues, stability and strong coupling, which have been raised recently in the newly proposed Horava-Lifshitz theory of quantum gravity with the projectability condition. We find that all the scalar modes are stable in the de Sitter background, due to two different kinds of effects, one from high-order derivatives of the spacetime curvature and the other from the exponential expansion of the de Sitter space. Combining these effects properly, one can make the instability found in the Minkowski background never appear even for small-scale modes, provided that the IR limit is sufficiently close to the relativistic fixed point. At the fixed point, all the modes become stabilized. We also show that the instability of Minkowski spacetime can be cured by introducing mass to the spin-0 graviton. The strong coupling problem is investigated following the effective field theory approach, and we find that it cannot be cured by the Blas-Pujolas-Sibiryakov mechanism, initially designed for the case without the projectability condition, but might be circumvented by the Vainshtein mechanism, due to the nonlinear effects. In fact, we construct a class of exact solutions, and show explicitly that they reduce smoothly to the de Sitter spacetime in the relativistic limit.

• OSTI ID: 21504990
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevD.83.044025; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DE SITTER SPACE
EXACT SOLUTIONS
EXPANSION
GRAVITATION
INSTABILITY
MASS
MINKOWSKI SPACE
NONLINEAR PROBLEMS
QUANTUM GRAVITY
RELATIVISTIC RANGE
SPACE-TIME
SPIN
STABILITY
STRONG-COUPLING MODEL
ANGULAR MOMENTUM
ENERGY RANGE
FIELD THEORIES
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SPACE