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arxiv: gr-qc/0309131 · v1 · submitted 2003-09-29 · 🌀 gr-qc · hep-th

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Boson stars with negative cosmological constant

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classification 🌀 gr-qc hep-th
keywords bosoncosmologicalconstantdimensionalpropertiessolutionsstaranti-de
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We consider boson star solutions in a $D$-dimensional, asymptotically anti-de Sitter spacetime and investigate the influence of the cosmological term on their properties. We find that for $D>4$ the boson star properties are close to those in four dimensions with a vanishing cosmological constant. A different behavior is noticed for the solutions in the three dimensional case. We establish also the non-existence of static, spherically symmetric black holes with a harmonically time-dependent complex scalar field in any dimension greater than two.

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