Asymptotic flatness in higher dimensions
نویسندگان
چکیده
We show that ( n + 1)-dimensional Myers–Perry metrics, ≥ 4, have a conformal completion at space-like infinity of C n−3,1 differentiability class and the result is optimal in even spacetime dimensions. The associated asymptotic symmetries are presented.
منابع مشابه
Asymptotic structure of radiation in higher dimensions
We characterize a general gravitational field near conformal infinity (null, spacelike, or timelike) in spacetimes of any dimension. This is based on an explicit evaluation of the dependence of the radiative component of the Weyl tensor on the null direction from which infinity is approached. The behaviour similar to peeling property is recovered, and it is shown that the directional structure ...
متن کاملAsymptotic Flatness in Rainbow Gravity
A construction of conformal infinity in null and spatial directions is constructed for the Rainbow-flat space-time corresponding to doubly special relativity. From this construction a definition of asymptotic DSRness is put forward which is compatible with the correspondence principle of Rainbow Gravity. Furthermore a result equating asymptotically flat space-times with asymptotically DSR space...
متن کاملAsymptotic Flatness, Little String Theory, and Holography
We argue that any non-gravitational holographic dual to asymptotically flat string theory in d-dimensions naturally resides at spacelike infinity. Since spacelike infinity can be resovled as a (d − 1)-dimensional timelike hyperboloid (i.e., as a copy of de Sitter space in (d− 1) dimensions), the dual theory is defined on a Lorentz signature spacetime. Conceptual issues regarding such a duality ...
متن کاملExtra dimensions present a new flatness problem
There is no known fundamental reason to demand as a cosmological initial condition that the bulk possess an SO(3, 1) isometry. On the contrary, one expects bulk curvature terms that violate the SO(3, 1) isometry at early epochs, leading to a violation of Lorentz invariance on our brane. Demanding that the Lorentz noninvariant terms are small leads to a new “flatness” problem, not solved by the ...
متن کاملHomogeneity, flatness, and "large" extra dimensions.
We consider a model in which the Universe is the direct product of an ordinary (3+1)-dimensional space--a brane where all the standard model fields are confined-and a compact hyperbolic manifold. The decay of massive Kaluza-Klein modes leads to the injection of bulk entropy into the observable Universe. The large statistical averaging inherent in the collapse of the initial entropy onto the bra...
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: Journal of Mathematical Physics
سال: 2022
ISSN: ['0022-2488', '1527-2427', '1089-7658']
DOI: https://doi.org/10.1063/5.0083728