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Title: `Mass without mass' from thin shells in Gauss-Bonnet gravity
Authors: Gravanis, Elias 
Willison, Steven 
Major Field of Science: Engineering and Technology
Field Category: Civil Engineering
Keywords: Gravitation;Algebra;Cosmological constant
Issue Date: 13-Apr-2007
Source: Physical Review D - Particles, Fields, Gravitation and Cosmology, 2007, vol. 75, no. 8
Volume: 75
Issue: 8
Journal: Physical Review D 
Abstract: Five tensor equations are obtained for a thin shell in Gauss-Bonnet gravity. There is the well known junction condition for the singular part of the stress tensor intrinsic to the shell, which we also prove to be well defined. There are also equations relating the geometry of the shell (jump and average of the extrinsic curvature as well as the intrinsic curvature) to the non-singular components of the bulk stress tensor on the sides of the thin shell. The equations are applied to spherically symmetric thin shells in vacuum. The shells are part of the vacuum, they carry no energy tensor. We classify these solutions of `thin shells of nothingness' in the pure Gauss-Bonnet theory. There are three types of solutions, with one, zero or two asymptotic regions respectively. The third kind of solution are wormholes. Although vacuum solutions, they have the appearance of mass in the asymptotic regions. It is striking that in this theory, exotic matter is not needed in order for wormholes to exist- they can exist even with no matter.
ISSN: 1550-2368
DOI: 10.1103/PhysRevD.75.084025
Rights: © American Physical Society
Type: Article
Affiliation : King's College London 
Centro de Estudios Científicos (CECS) 
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