r - qc / 0 61 21 89 v 2 2 7 Ju l 2 00 9 Celestial mechanics of elastic bodies
نویسندگان
چکیده
We construct time independent configurations of two gravitating elastic bodies. These configurations either correspond to the two bodies moving in a circular orbit around their center of mass or strictly static configurations.
منابع مشابه
ar X iv : g r - qc / 0 61 11 44 v 2 6 S ep 2 00 7 N - body Gravity and the Schroedinger Equation
We consider the problem of the motion of N bodies in a self-gravitating system in two spacetime dimensions. We point out that this system can be mapped onto the quantum-mechanical problem of an N-body generalization of the problem of the H + 2 molecular ion in one dimension. The canonical gravitational N-body formalism can be extended to include electromagnetic charges. We derive a general algo...
متن کاملX iv : g r - qc / 0 60 70 61 v 1 1 7 Ju l 2 00 6 Thin shell wormholes in higher dimensiaonal Einstein - Maxwell theory
We construct thin shell Lorentzian wormholes in higher dimensional Einstein-Maxwell theory applying the ' Cut and Paste ' technique proposed by Visser. The linearized stability is analyzed under radial perturbations around some assumed higher dimensional spherically symmetric static solution of the Einstein field equations in presence of Electromagnetic field. We determine the total amount of e...
متن کاملar X iv : g r - qc / 0 61 11 44 v 1 2 7 N ov 2 00 6 N - body Gravity and the Schroedinger Equation
We consider the problem of the motion of N bodies in a self-gravitating system. We point out that this system can be mapped onto the quantum-mechanical problem of an N-body generalization of the problem of the H + 2 molecular ion in one dimension. We derive a general algorithm for solving this problem, and show how it reduces to known results for the 2-body and 3-body systems.
متن کاملar X iv : g r - qc / 0 41 21 17 v 1 2 3 D ec 2 00 4 A quantum mass - spectrum of Kerr black hole : superstrings
Using thermal quantization of geodesics confined under horizons and reasonable conjecture on massless modes, we evaluate quantum spectrum of Kerr black hole masses compatible with superstring symmetries.
متن کاملar X iv : g r - qc / 0 61 21 25 v 2 2 4 D ec 2 00 6 Faddeev - Jackiw quantization of spin - 2 field
We apply the Faddeev-Jackiw method to the Hamiltonian analysis of the massless spin-two field. As expected, the reduced Hamiltonian contains only the traceless-transverse tensor, while some, but not all of the non-propagating components are determined by the constraints of the theory. In particular, it is concluded that no gauge choice can be imposed on the fields such that only the propagating...
متن کامل