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A rotating black ring solution in five dimensions.

Roberto Emparan1, Harvey S Reall

  • 1Theory Division, CERN, CH-1211 Geneva 23, Switzerland.

Physical Review Letters
|March 23, 2002
PubMed
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Researchers discovered a novel black ring solution in five-dimensional spacetime, challenging existing black hole uniqueness theorems. This rotating black ring has a non-spherical event horizon, expanding our understanding of gravity in higher dimensions.

Area of Science:

  • Theoretical Physics
  • General Relativity
  • String Theory

Background:

  • Black holes are typically described by spherical event horizons in four-dimensional spacetime.
  • Uniqueness theorems in four dimensions limit black hole solutions.
  • Higher-dimensional theories allow for more complex spacetime geometries.

Purpose of the Study:

  • To find stationary, asymptotically flat vacuum solutions in five-dimensional spacetime.
  • To investigate black hole solutions with non-spherical event horizons.
  • To explore the implications for black hole uniqueness theorems in higher dimensions.

Main Methods:

  • Solving the five-dimensional vacuum Einstein equations.
  • Analyzing the properties of the resulting spacetime solution.

Related Experiment Videos

  • Investigating the topology and regularity of the event horizon.

    • Main Results:

    • A new solution describing a rotating black ring with an S1xS2 event horizon was found.
    • This is the first stationary, asymptotically flat vacuum solution with a non-spherical event horizon.
    • The solution suggests a transition from spherical black holes to black rings above a critical spin.

    Conclusions:

    • The existence of black rings demonstrates that four-dimensional uniqueness theorems do not generalize simply to five dimensions.
    • Black rings offer a new class of black hole solutions in higher dimensions.
    • These findings open avenues for exploring the rich structure of black holes in extended spacetime dimensions.