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Award ID contains: 1708798

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  1. ; ; (, Journal of High Energy Physics)
    null (Ed.)
    A bstract An affirmative answer is given to a conjecture of Myers concerning the existence of 5-dimensional regular static vacuum solutions that balance an infinite number of black holes, which have Kasner asymptotics. A variety of examples are constructed, having different combinations of ring S 1 × S 2 and sphere S 3 cross-sectional horizon topologies. Furthermore, we show the existence of 5-dimensional vacuum solitons with Kasner asymptotics. These are regular static space-periodic vacuum spacetimes devoid of black holes. Consequently, we also obtain new examples of complete Riemannian manifolds of nonnegative Ricci curvature in dimension 4, and zero Ricci curvature in dimension 5, having arbitrarily large as well as infinite second Betti number. 
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  2. ; ; (, Communications in mathematical physics)
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  3. (, Journal of geometry and physics)
    Accepted Manuscript Full Text Available
  4. (, Transactions of the American Mathematical Society)
    Accepted Manuscript Full Text Available
  5. ; (, Advanced lectures in mathematics)
    Full Text Available 
  6. ; ; (, General relativity and gravitation)
    Accepted Manuscript Full Text Available
  7. (, Journal of mathematical physics)
    Accepted Manuscript Full Text Available
  8. (, Annales Henri Poincaré)
    Accepted Manuscript Full Text Available
  9. (, Letters in mathematical physics)
    Accepted Manuscript Full Text Available
  10. (, Communications in partial differential equations)
    Accepted Manuscript Full Text Available