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- W3100779128 abstract "A family of non-radial solutions of the Yamabe equation, with reference the hyperbolic space, is constructed using power series. As a result, we obtain a family of asymptotically hyperbolic metrics, with spherical conformal infinity, with scalar curvature greater than -n(n - 1), but which are a priori not complete. Moreover, any vector of R^n+1 is performed by an energy-momentun vector of one suitable metric of this family. They can in particular provide counter-examples to the positive energy-momentum theorem when one removes the completeness assumption." @default.
- W3100779128 created "2020-11-23" @default.
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- W3100779128 date "2012-10-01" @default.
- W3100779128 modified "2023-09-23" @default.
- W3100779128 title "A family of asymptotically hyperbolic manifolds with arbitrary energy-momentum vectors" @default.
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- W3100779128 doi "https://doi.org/10.1063/1.4759581" @default.
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