A Proof of Uniqueness of the Taub-bolt Instanton
Mars, Marc ; Simon, Walter
arXiv, 9809076 / Harvested from arXiv
Text on arXiv
We show that the Riemannian Schwarzschild and the ``Taub-bolt'' instanton solutions are the only spaces (M,g) such that 1) M is a 4-dimensional, simply connected manifold with a Riemannian, Ricci-flat C^2-metric g which admits (at least) a 1-parameter group of isometries H without isolated fixed points on M. 2) The quotient (M L)/H (where L is the set of fixed points of H) is an asymptotically flat manifold, and the length of the Killing field corresponding to H tends to a constant at infinity.
Publié le : 1998-09-28
Classification:  General Relativity and Quantum Cosmology,  Mathematical Physics,  Mathematics - Differential Geometry 
@article{9809076,
     author = {Mars, Marc and Simon, Walter},
     title = {A Proof of Uniqueness of the Taub-bolt Instanton},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9809076}
}

Mars, Marc; Simon, Walter. A Proof of Uniqueness of the Taub-bolt Instanton. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9809076/