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Non-asymptotically AdS/dS Solutions and Their Higher Dimensional Origins | | Rong-Gen Cai
; Anzhong Wang
; | | Date: |
3 Jun 2004 | | Journal: | Phys.Rev. D70 (2004) 084042 | | Subject: | hep-th gr-qc | | Abstract: | We look for and analyze in some details some exact solutions of Einstein-Maxwell-dilaton gravity with one or two Liouville-type dilaton potential(s) in an arbitrary dimension. Such a theory could be obtained by dimensionally reducing Einstein-Maxwell theory with a cosmological constant to a lower dimension. These (neutral/magnetic/electric charged) solutions can have a (two) black hole horizon(s), cosmological horizon, or a naked singularity. Black hole horizon or cosmological horizon of these solutions can be a hypersurface of positive, zero or negative constant curvature. These exact solutions are neither asymptotically flat, nor asymptotically AdS/dS. But some of them can be uplifted to a higher dimension, and those higher dimensional solutions are either asymptotically flat, or asymptotically AdS/dS with/without a compact constant curvature space. This observation is useful to better understand holographic properties of these non-asymptotically AdS/dS solutions. | | Source: | arXiv, hep-th/0406040 | | Services: | Forum | Review | PDF | Favorites | |
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