Title:	Non-existence of black holes in certain Λ < 0 spacetimes
Authors:	Galloway, G.J. Surya, Sumati Woolgar, E.
Issue Date:	May-2003
Publisher:	Institute of Physics
Citation:	Classical and Quantum Gravity, 2003, Vol.20, p.1635-1648
Abstract:	Assuming certain asymptotic conditions, we prove a general theorem on the non-existence of static regular black holes in spacetimes with a negative cosmological constant, given that the fundamental group of space is infinite. We use this to rule out the existence of regular negative mass AdS black holes with Ricci flat scri. For any mass, we also rule out a class of conformally compactifiable static black holes whose conformal infinity has positive scalar curvature and infinite fundamental group, subject to our asymptotic conditions. In a limited, but important, special case our result adds new support to the AdS/CFT inspired positive mass conjecture of Horowitz and Myers.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/4555
ISSN:	0264-9381 1361-6382 (online)
Alternative Location:	http://arxiv.org/abs/http://arxiv.org/abs/gr-qc/0212079 http://adsabs.harvard.edu/abs/2003CQGra..20.1635G
Copyright:	2003, Institute of Physics
Appears in Collections:	Research Papers (TP)

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