Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-04-23
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Talk at 'Complex Analysis & Dynamical Systems IV' held on May 18-22, 2009, in Nahariya, Israel. Accepted for publication in Co
Scientific paper
In this talk I describe recent joint works with R.Schoen and with G.Gibbons and R.Schoen which prove the non-existence of certain asymptotically flat, stationary solutions of the Einstein equations with more than one body. The basic restriction is for example satisfied when spacetime has an isometry reversing the sign of the timelike Killing vector and fixing a hypersurface in the space of Killing trajectories which is disjoint from the bodies. I also give a detailed treatment of the Newtonian situation.
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