Detailed balance in Horava-Lifshitz gravity

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

DOI:https://doi.org/10.1103/PHYSREVD.81.044006· OSTI ID:21409294

Calcagni, Gianluca ^[1]

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1. Institute for Gravitation and the Cosmos, Department of Physics, Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802 (United States)

We study Horava-Lifshitz gravity in the presence of a scalar field. When the detailed balance condition is implemented, a new term in the gravitational sector is added in order to maintain ultraviolet stability. The four-dimensional theory is of a scalar-tensor type with a positive cosmological constant and gravity is nonminimally coupled with the scalar and its gradient terms. The scalar field has a double-well potential and, if required to play the role of the inflation, can produce a scale-invariant spectrum. The total action is rather complicated, and there is no analog of the Einstein frame where Lorentz invariance is recovered in the infrared. For these reasons it may be necessary to abandon detailed balance. We comment on open problems and future directions in anisotropic critical models of gravity.

• OSTI ID: 21409294
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
ANISOTROPY
BALANCES
COSMOLOGICAL CONSTANT
COSMOLOGICAL MODELS
ELECTROMAGNETIC RADIATION
FOUR-DIMENSIONAL CALCULATIONS
GRAVITATION
INFLATIONARY UNIVERSE
INVARIANCE PRINCIPLES
LORENTZ INVARIANCE
MATHEMATICAL MODELS
MEASURING INSTRUMENTS
RADIATIONS
SCALAR FIELDS
SPECTRA
STABILITY
ULTRAVIOLET RADIATION
WEIGHT INDICATORS