2010/02/28 by Taeyoon Moon, Phillial Oh, Jongsu Sohn · 27 citations
Physics and Astronomy · #Action (physics) #Anisotropy #Black Holes and Theoretical Physics #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Critical exponent #Invariant (physics) #Noncommutative and Quantum Gravity Theories #Scalar (mathematics) #Scalar field #Weyl transformation #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1088/1475-7516/2010/11/005
published in Journal of Cosmology and Astroparticle Physics 2010(11), 005 (Institute of Physics) · 15 pages, version to appear in JCAP
arxiv created 2010/11/09 · openalex publication_date 2010/11/10 · arxiv updated 2010/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 = z ρ/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 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.