Intersecting hypersurfaces and Lovelock Gravity
arXiv:gr-qc/0502089
Abstract
A theory of gravity in higher dimensions is considered. The usual Einstein-Hilbert action is supplemented with Lovelock terms, of higher order in the curvature tensor. These terms are important for the low energy action of string theories. The intersection of hypersurfaces is studied in the Lovelock theory. The study is restricted to hypersurfaces of co-dimension 1, -dimensional submanifolds in a -dimensional space-time. It is found that exact thin shells of matter are admissible, with a mild form of curvature singularity: the first derivative of the metric is discontinuous across the surface. Also, with only this mild kind of curvature singularity, there is a possibility of matter localised on the intersections. This gives a classical analogue of the intersecting brane-worlds in high energy String phenomenology. Such a possibility does not arise in the pure Einstein-Hilbert case.
109 pages. PhD Thesis
References in corpus (26)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
- Gauss-Bonnet Black Holes in AdS Spaces
- Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
- Living with Ghosts
- Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem
- Brane versus shell cosmologies in Einstein and Einstein-Gauss-Bonnet theories
- Einstein gravity on the codimension 2 brane?
- String-Inspired Higher-Curvature Terms and the Randall-Sundrum Scenario
- Covariant Gravitational Equations on Brane World with Gauss-Bonnet term
- Braneworld Cosmology in (Anti)--de Sitter Einstein--Gauss--Bonnet--Maxwell Gravity
- Braneworld holography in Gauss-Bonnet gravity
- String inspired braneworld cosmology
- Introduction to Loop Quantum Gravity and Spin Foams
- Conservation laws for collisions of branes (or shells) in general relativity
- On the quasi-linearity of the Einstein- "Gauss-Bonnet" gravity field equations
- Localized gravity and mass hierarchy in D=6 with the Gauss-Bonnet term
- On the thin-shell limit of branes in the presence of Gauss-Bonnet interactions
- Brane collisions in anti-de Sitter space
- Doubly covariant action principle of singular hypersurfaces in general relativity and scalar-tensor theories
- Intersecting hypersurfaces, topological densities and Lovelock Gravity
- (Super)-Gravities Beyond 4 Dimensions
- orbifold compactifications in with Gauss-Bonnet term
- Generalised hyperbolicity: hypersurface singularities
- Towards a theory of thin self-gravitating crossing shells