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Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes
Hadamard States Asymptotically Flat Spacetimes General Relativity and Quantum Cosmology
2011/7/28
Abstract: We develop a quantization scheme for the vector potential on globally hyperbolic spacetimes which realizes it as a locally covariant conformal quantum field theory. This result allows us to ...
Uniqueness of the Foliation of Constant Mean Curvature Spheres in Asymptotically Flat 3-Manifolds
Uniqueness Foliation of Constant Mean Curvature Spheres Asymptotically Flat 3-Manifolds
2011/2/21
In this paper I study the constant mean curvature surface in asymp-totically flat 3-manifolds with general asymptotics. Under some weak condition, I prove that outside some compact set in the asymptot...
Asymptotically flat, stable black hole solutions in Einstein--Yang-Mills--Chern-Simons theory
Asymptotically flat stable black hole solutions
2010/12/23
We construct finite mass, asymptotically flat black hole solutions in d=5 Einstein--Yang-Mills--Chern-Simons theory. Our results indicate the existence of a second order phase transition between Reiss...
Asymptotically flat, stable black hole solutions in Einstein--Yang-Mills--Chern-Simons theory
stable black hole solutions Einstein--Yang-Mills--Chern-Simons theory
2010/12/21
We construct finite mass, asymptotically flat black hole solutions in d = 5 Einstein–Yang-Mills–Chern-Simons theory. Our results indicate the existence of a second order phase transition between Reiss...
Peeling properties of asymptotically flat solutions to the Einstein vacuum equations
asymptotically flat Einstein vacuum equations
2014/4/3
One of the central difficulties in connection to the L^2 bounded curvature conjecture in general relativity is to be able to control the causal structure of spacetimes with this very limited regularit...