منابع مشابه
Conformal Infinity
The notion of conformal infinity has a long history within the research in Einstein's theory of gravity. Today, "conformal infinity" is related with almost all other branches of research in general relativity, from quantisation procedures to abstract mathematical issues to numerical applications. This review article attempts to show how this concept gradually and inevitably evolved out of physi...
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We generalize Penrose’s notion of conformal infinity of spacetime, to situations with anisotropic scaling. This is relevant not only for Lifshitz-type anisotropic gravity models, but also in standard general relativity and string theory, for spacetimes exhibiting a natural asymptotic anisotropy. Examples include the Lifshitz and Schrödinger spaces (proposed as AdS/CFT duals of nonrelativistic f...
متن کاملConformal treatment of infinity
In the late 1950’s F. A. E. Pirani, A. Trautman, R. K. Sachs, H. Bondi, E. T. Newman, R. Penrose and others began exploring possibilities to establish in Einstein’s nonlinear theory a notion of gravitational radiation which is covariant and not based on approximations. The proposal they finally came up with relies, however, on an idealization. The solutions to Einstein’s field equations were as...
متن کاملEinstein Metrics with Prescribed Conformal Infinity on 4-manifolds
This paper considers the existence of conformally compact Einstein metrics on 4manifolds. A reasonably complete understanding is obtained for the existence of such metrics with prescribed conformal infinity, when the conformal infinity is of positive scalar curvature. We find in particular that general solvability depends on the topology of the filling manifold. The obstruction to extending the...
متن کاملRigidity of Conformally Compact Manifolds with the Round Sphere as the Conformal Infinity
In this paper we prove that under a lower bound on the Ricci curvature and an asymptotic assumption on the scalar curvature, a complete conformally compact manifold (M, g), with a pole p and with the conformal infinity in the conformal class of the round sphere, has to be the hyperbolic space.
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ژورنال
عنوان ژورنال: Living Reviews in Relativity
سال: 2000
ISSN: 2367-3613,1433-8351
DOI: 10.12942/lrr-2000-4