`Mass without mass' from thin shells in Gauss-Bonnet gravity

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dc.creatorGravanis, Elias
dc.creatorWillison, Steven
dc.date2007-01-28
dc.date2007-03-22
dc.date.accessioned2026-07-07T11:01:38Z
dc.date.available2026-07-07T11:01:38Z
dc.descriptionFive 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.
dc.description13 pages, RevTex, 8 figures. Version 2: includes discussion on the well-defined thin shell limit. Version 3: typos fixed, a reference added, accepted for publication in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/gr-qc/0701152
dc.identifierhttp://arxiv.org/abs/gr-qc/0701152
dc.identifierPhys.Rev.D75:084025,2007
dc.identifierdoi:10.1103/PhysRevD.75.084025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188009
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.title`Mass without mass' from thin shells in Gauss-Bonnet gravity
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