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Title: Gravitational solitons and $C^0$ vacuum metrics in five-dimensional Lovelock gravity
Authors: Garraffo, C. 
Giribet, G. 
Gravanis, Elias 
Willison, S. 
Major Field of Science: Engineering and Technology
Field Category: Civil Engineering
Keywords: Gravitation;Algebra;Cosmological constant
Issue Date: 15-Apr-2008
Source: Journal of Mathematical Physics, 2008, vol. 49, iss. 4, Article number 042502
Volume: 49
Issue: 4
Journal: Journal of Mathematical Physics 
Abstract: Junction conditions for vacuum solutions in five-dimensional Einstein-Gauss-Bonnet gravity are studied. We focus on those cases where two spherically symmetric regions of space-time are joined in such a way that the induced stress tensor on the junction surface vanishes. So a spherical vacuum shell, containing no matter, arises as a boundary between two regions of the space-time. A general analysis is given of solutions that can be constructed by this method of geometric surgery. Such solutions are a generalized kind of spherically symmetric empty space solutions, described by metric functions of the class $C^0$. New global structures arise with surprising features. In particular, we show that vacuum spherically symmetric wormholes do exist in this theory. These can be regarded as gravitational solitons, which connect two asymptotically (Anti) de-Sitter spaces with different masses and/or different effective cosmological constants. We prove the existence of both static and dynamical solutions and discuss their (in)stability under perturbations that preserve the symmetry. This leads us to discuss a new type of instability that arises in five-dimensional Lovelock theory of gravity for certain values of the coupling of the Gauss-Bonnet term. The issues of existence and uniqueness of solutions and determinism in the dynamical evolution are also discussed.
ISSN: 0022-2488
DOI: 10.1063/1.2890377
Rights: AIP
Type: Article
Affiliation : Ciudad Universitaria 
New York University 
King's College London 
Centro de Estudios Científicos (CECS) 
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