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11 papers · 2 filters
Classification of Static, Spherically Symmetric Solutions of the Einstein-Yang-Mills Theory with Positive Cosmological Constant
Peter Breitenlohner, Peter Forgacs, Dieter Maison
We give a complete classification of all static, spherically symmetric solutions of the SU(2) Einstein-Yang-Mills theory with a positive cosmological constant. Our classification p…
Asymptotically simple solutions of the vacuum Einstein equations in even dimensions
Michael T. Anderson, Piotr T. Chrusciel
We show that a set of conformally invariant equations derived from the Fefferman-Graham tensor can be used to construct global solutions of the vacuum Einstein equations, in all ev…
Recent results in mathematical relativity
Piotr T. Chrusciel
We review selected recent results concerning the global structure of solutions of the vacuum Einstein equations. The topics covered include quasi-local mass, strong cosmic censorsh…
Scattering of High Speed Particles in the Kerr Gravitational Field
C. Barrabès, P. A. Hogan
We calculate the angles of deflection of high speed particles projected in an arbitrary direction into the Kerr gravitational field. This is done by first calculating the light-lik…
Gluing Initial Data Sets for General Relativity
Piotr T. Chrusciel, James Isenberg, Daniel Pollack
We establish an optimal gluing construction for general relativistic initial data sets. The construction is optimal in two distinct ways. First, it applies to generic initial data…
A poor man's positive energy theorem: II. Null geodesics
Piotr T. Chrusciel
We show that positivity of energy for stationary, or strongly uniformly Schwarzschildian, asymptotically flat, non-singular domains of outer communications can be proved using Gall…