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Numerical Boson Stars with a Single Killing Vector II: the D=3 Case | | Sean Stotyn
; Melanie Chanona
; Robert B. Mann
; | | Date: |
11 Sep 2013 | | Abstract: | We complete the analysis of part I in this series (Ref. [5]) by numerically
constructing boson stars in 2+1 dimensional Einstein gravity with negative
cosmological constant, minimally coupled to a complex scalar field. These lower
dimensional boson stars have strikingly different properties than their higher
dimensional counterparts, most noticeably that there exists a finite central
energy density, above which an extremal BTZ black hole forms. In this limit,
all of the scalar field becomes enclosed by the horizon; it does not contract
to a singularity, but rather the origin remains smooth and regular and the
solution represents a spinning boson star trapped inside a degenerate horizon.
Additionally, whereas in higher dimensions the mass, angular momentum, and
angular velocity all display damped harmonic oscillations as functions of the
central energy density, in D=3 these quantities change monotonically up to the
bound on the central energy density. Some implications for the holographic dual
of these objects are discussed and it is argued that the boson star and
extremal BTZ black hole phases are dual to a spontaneous symmetry breaking at
zero temperature but finite energy scale. | | Source: | arXiv, 1309.2911 | | Services: | Forum | Review | PDF | Favorites | |
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