منابع مشابه
Properties of some five dimensional Einstein metrics
The volumes, spectra and geodesics of a recently constructed infinite family of fivedimensional inhomogeneous Einstein metrics on the two S bundles over S are examined. The metrics are in general of cohomogeneity one but they contain the infinite family of homogeneous metrics T . The geodesic flow is shown to be completely integrable, in fact both the Hamilton-Jacobi and the Laplace equation se...
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We present a new two-parameter family of solutions of Einstein gravity with negative cosmological constant in 2+1 dimensions. These solutions are obtained by squashing the anti-deSitter geometry along one direction and posses four Killing vectors. Global properties as well as the four dimensional generalization are discussed, followed by the investigation of the geodesic motion. A simple global...
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As the first step in the direction of the Hopf conjecture on the non-existence of metrics with positive sectional curvature on S2 × S2 the authors of [GT] suggested the following (Weak Hopf) conjecture (on the rigidity of non-negatively curved metrics on S2 × R3): ”The boundary S2 × S2 of the S2 × B3 ⊂ S2 × R3 with an arbitrary complete metric of non-negative sectional curvature contains a poin...
متن کاملGravitational solitons and C vacuum metrics in five-dimensional Lovelock gravity
Junction conditions for vacuum solutions in five-dimensional Einstein-Gauss-Bonnet gravity are studied. We focus on those cases where two spherically symmetric regions of space-time are joined in such a way that the induced stress tensor on the junction surface vanishes. So a spherical vacuum shell, containing no matter, arises as a boundary between two regions of the space-time. A general anal...
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The purpose of this note is to introduce a new method for proving the existence of Sasakian-Einstein metrics on certain simply connected odd dimensional manifolds. We then apply this method to prove the existence of new Sasakian-Einstein metrics on S×S and on (S×S)#(S×S). These give the first known examples of non-regular Sasakian-Einstein 5manifolds. Our method involves describing the Sasakian...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2003
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/20/13/306