Please use this identifier to cite or link to this item: https://ktisis.cut.ac.cy/handle/10488/14223
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: 0022-2488
DOI: 10.1063/1.1794841
Rights: © AIP Publishing
Type: Article
Affiliation : King's College London 
Appears in Collections:Άρθρα/Articles

CORE Recommender
Show full item record

SCOPUSTM   
Citations

12
checked on Aug 2, 2021

WEB OF SCIENCETM
Citations

12
Last Week
0
Last month
0
checked on Apr 22, 2021

Page view(s)

101
Last Week
8
Last month
8
checked on Aug 2, 2021

Google ScholarTM

Check

Altmetric


This item is licensed under a Creative Commons License Creative Commons