### Anisotropic Weyl symmetry and cosmologyAnisotropic Weyl symmetry and cosmology

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 Author Moon, Taeyoon ♦ Oh, Phillial ♦ Sohn, Jongsu Source arXiv.org Content type Text File Format PDF Date of Submission 2010-02-12 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Astronomy & allied sciences ♦ Physics Subject Keyword High Energy Physics - Theory ♦ Astrophysics - Cosmology and Nongalactic Astrophysics ♦ General Relativity and Quantum Cosmology ♦ physics:astro-ph ♦ physics:gr-qc ♦ physics:hep-th Abstract We construct an anisotropic Weyl invariant theory in the ADM formalism and discuss its cosmological consequences. It extends the original anisotropic Weyl invariance of Ho\v{r}ava-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 ordinary matter and show that it can preserve the anisotropic Weylinvariance if the equation of state satisfies $P_m= z\rho_m/3$. Then, we study cosmology of the Einstein-Hilbert-anisotropic Weyl (EHaW) action including the ordinary matter both with or without anisotropic Weyl invariance. The correlation of the critical exponent $z$ and the equation of state parameter $\omega_m$ provides a new perspective of the cosmology. It is also shown that for particular value of $z=-3$, the EHaW action admits a late time accelerating universe. Description Reference: JCAP 1011:005,2010 Educational Use Research Learning Resource Type Article Page Count 15