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

2014/07/09 by Zakharov, Alexander F.
#Astrophysics of Galaxies (astro-ph.GA) #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1407.2591

Abstract

Using Schwarzschild -- de-Sitter (Kottler) metric we derive a simple analytical relation between a shadow size and Λ-term. Current observations of the smallest spot to evaluate shadow size at the Galactic Center do not reach an accuracy comparable with cosmological Λ-term ∼ 10^-52\rm m^-2, however, if in reality we have dark energy instead of a constant Λ-term then dark energy may be a function depending on time and space and it could be approximated with a local constant Λ-term near the Galactic Center and it is important to introduce a procedure to evaluate the Λ-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-term which is about -0.4× 10^-20\rm m^-2. A negative Λ-term has been predicted in the framework of a some class of multidimensional string models.

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