Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-01-28
Phys.Rev.D75:084025,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
13 pages, RevTex, 8 figures. Version 2: includes discussion on the well-defined thin shell limit. Version 3: typos fixed, a re
Scientific paper
10.1103/PhysRevD.75.084025
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.
Gravanis Elias
Willison Steven
No associations
LandOfFree
`Mass without mass' from thin shells in Gauss-Bonnet gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with `Mass without mass' from thin shells in Gauss-Bonnet gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and `Mass without mass' from thin shells in Gauss-Bonnet gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-197115