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On asymptotically locally hyperbolic metrics with negative mass

Abstract : We construct families of asymptotically locally hyperbolic Riemannian metrics with constant scalar curvature (i.e., time symmetric vacuum general relativistic initial data sets with negative cosmological constant), with prescribed topology of apparent horizons and of the conformal boundary at infinity, and with controlled mass. In particular new classes of solutions with negative mass result.
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Preprints, Working Papers, ...
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https://hal-univ-avignon.archives-ouvertes.fr/hal-03761981
Contributor : Erwann Delay Connect in order to contact the contributor
Submitted on : Friday, August 26, 2022 - 3:42:24 PM
Last modification on : Saturday, August 27, 2022 - 3:32:05 AM

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  • HAL Id : hal-03761981, version 1
  • ARXIV : 2207.14563

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Piotr T. Chruściel, Erwann Delay. On asymptotically locally hyperbolic metrics with negative mass. 2022. ⟨hal-03761981⟩

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