Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.14279/14223
Title: | Intersecting hyper-surfaces in dimensionally continued topological density gravitation |
Authors: | Gravanis, Elias Willison, Steven |
Major Field of Science: | Engineering and Technology |
Field Category: | Civil Engineering |
Keywords: | Gravitation;Algebra;Cosmological constant |
Issue Date: | 25-Oct-2004 |
Source: | Journal of Mathematical Physics, 2004, vol. 45, no.11, pp. 4223-4238 |
Volume: | 45 |
Issue: | 11 |
Start page: | 4223 |
End page: | 4238 |
Journal: | Journal of Mathematical Physics |
Abstract: | We consider intersecting hypersurfaces in curved spacetime with gravity governed by a class of actions which are topological invariants in lower dimensionality. Along with the Chern-Simons boundary terms there is a sequence of intersection terms that should be added in the action functional for a well defined variational principle. We construct them in the case of Characteristic Classes, obtaining relations which have a general topological meaning. Applying them on a manifold with a discontinuous connection 1-form we obtain the gravity action functional of the system and show that the junction conditions can be found in a simple algebraic way. At the sequence of intersections there are localised independent energy tensors, constrained only by energy conservation. We work out explicitly the simplest non trivial case. |
Description: | 20 pages, 3 figures. Accepted for Journal Math. Phys. Some minor changes and corrections |
ISSN: | 00222488 |
DOI: | 10.1063/1.1794841 |
Rights: | © AIP Publishing |
Type: | Article |
Affiliation : | King's College London |
Publication Type: | Peer Reviewed |
Appears in Collections: | Άρθρα/Articles |
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