Please use this identifier to cite or link to this item:
|Title:||Gravitational solitons and $C^0$ vacuum metrics in five-dimensional Lovelock gravity||Authors:||Garraffo, C.
|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)
|Appears in Collections:||Άρθρα/Articles|
checked on Nov 26, 2020
WEB OF SCIENCETM
checked on Nov 27, 2020
Page view(s) 5095
checked on Nov 29, 2020
Items in KTISIS are protected by copyright, with all rights reserved, unless otherwise indicated.