Conformally covariant parametrizations for initial data in some modified Einstein gravity theories
نویسندگان
چکیده
منابع مشابه
Inflationary Cosmology in Modified Gravity Theories
We review inflationary cosmology in modified gravity such as R gravity with its extensions in order to generalize the Starobinsky inflation model. In particular, we explore inflation realized by three kinds of effects: modification of gravity, the quantum anomaly, and the R term in loop quantum cosmology. It is explicitly demonstrated that in these inflationary models, the spectral index of sca...
متن کاملAccelerating Universe in Modified Theories of Gravity
We study cosmologies in modified theories of gravity considering Lagrangian density f(R) which is a polynomial function of scalar curvature (R) in the Einstein-Hilbert action in vacuum. The field equation obtained from the modified action corresponding to a Robertson-Walker metric is highly non-linear and not simple enough to obtain analytic solution. Consequently we adopt a numerical technique...
متن کاملSome Results on the Structure of Conformally Compact Einstein Metrics
The main result of this paper is that the space of conformally compact Einstein metrics on any given manifold is a smooth, infinite dimensional Banach manifold, provided it is non-empty, generalizing earlier work of Graham-Lee and Biquard. We also prove full boundary regularity for such metrics in dimension 4 and a local existence and uniqueness theorem for such metrics with prescribed metric a...
متن کاملExterior Differential Systems for Einstein Vacuum and Kaluza Gravity Theories
We present two families of exterior differential systems (EDS) for causal embeddings of orthonormal frame bundles over Riemannian spaces of dimension q = 2, 3, 4, 5.... into orthonormal frame bundles over flat spaces of higher dimension. We calculate Cartan characters showing that these EDS are dynamical field theories. The first family includes a nonisometric embedding EDS for classical Einste...
متن کاملGravity and Einstein-Proca-Weyl theories extended to a class of Scalar gravity theories
We extend the recently proved relation between certain models of Non-Riemannian gravitation and Einstein-Proca-Weyl theories to a class of Scalar gravity theories, this is used to present a Black-Hole Dilaton solution with non-Riemannian connection. PACS numbers: 04.20J, 0450, 0425.Dm, 04.40.Nr, 0470-s permanent address, e-mail: [email protected]
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The European Physical Journal Plus
سال: 2018
ISSN: 2190-5444
DOI: 10.1140/epjp/i2018-12353-x