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Are signatures of anti-de-Sitter black hole at the Galactic Center?

Jul 9, 2014
15 pages
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Abstract: (arXiv)
Using Schwarzschild -- de-Sitter (Kottler) metric we derive a simple analytical relation between a shadow size and Λ\Lambda-term. Current observations of the smallest spot to evaluate shadow size at the Galactic Center do not reach an accuracy comparable with cosmological Λ\Lambda-term ∼10−52m−2\sim 10^{-52}{\rm m}^{-2}, however, if in reality we have dark energy instead of a constant Λ\Lambda-term then dark energy may be a function depending on time and space and it could be approximated with a local constant Λ\Lambda-term near the Galactic Center and it is important to introduce a procedure to evaluate the Λ\Lambda-term. We suggest such a procedure based on a black hole shadow evaluation. Surprisingly, current observational estimates of shadows are in agreement with anti-de-Sitter spacetimes corresponding to a negative Λ\Lambda-term which is about −0.4×10−20m−2-0.4\times 10^{-20}{\rm m}^{-2}. A negative Λ\Lambda-term has been predicted in the framework of a some class of multidimensional string models.
Note:
  • 15 pages, 1 Figure
  • black hole: anti-de Sitter
  • space-time: anti-de Sitter
  • galaxy
  • dark energy
  • higher-dimensional
  • Schwarzschild
  • string model
  • de Sitter
  • signature