Anisotropic Weyl symmetry and cosmology

Journal Article · Mon Nov 01 04:00:00 EDT 2010 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2010/11/005· OSTI ID:22275368

Moon, Taeyoon; Oh, Phillial; Sohn, Jongsu ^[1]

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1. Department of Physics and Institute of Basic Science, Sungkyunkwan University, Jangan-gu, Cheoncheon-dong, Suwon 440-746 (Korea, Republic of)

We construct an anisotropic Weyl invariant theory in the ADM formalism and discuss its cosmological consequences. It extends the original anisotropic Weyl invariance of Hořava-Lifshitz gravity using an extra scalar field. The action is invariant under the anisotropic transformations of the space and time metric components with an arbitrary value of the critical exponent z. One of the interesting features is that the cosmological constant term maintains the anisotropic symmetry for z = −3. We also include the cosmological fluid and show that it can preserve the anisotropic Weyl invariance if the equation of state satisfies P = zρ/3. Then, we study cosmology of the Einstein-Hilbert-anisotropic Weyl (EHaW) action including the cosmological fluid, both with or without anisotropic Weyl invariance. The correlation of the critical exponent z and the equation of state parameter ω-bar provides a new perspective of the cosmology. It is also shown that the EHaW action admits a late time accelerating universe for an arbitrary value of z when the anisotropic conformal invariance is broken, and the anisotropic conformal scalar field is interpreted as a possible source of dark energy.

• OSTI ID: 22275368
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 11 Vol. 2010; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ANISOTROPY
CONFORMAL INVARIANCE
CORRELATIONS
COSMOLOGICAL CONSTANT
COSMOLOGY
EQUATIONS OF STATE
GRAVITATION
METRICS
NONLUMINOUS MATTER
SCALAR FIELDS
SYMMETRY
TRANSFORMATIONS
UNIVERSE