Gauss-Bonnet inflation

Radion stabilization with ( out ) Gauss – Bonnet interactions and inflation

Radion stabilization is analyzed in 5–dimensional models with branes in the presence of Gauss–Bonnet interactions. The Goldberger–Wise mechanism is considered for static and inflating backgrounds. The necessary and sufficient conditions for stability are given for the static case. The influence of the Gauss–Bonnet term on the radion mass and the inter–brane distance is analyzed and illustrated ...

The Gauss-Bonnet Theorem

The Gauss-bonnet Theorem

The Gauss Bonnet theorem links differential geometry with topology. The following expository piece presents a proof of this theorem, building up all of the necessary topological tools. Important applications of this theorem are discussed.

Gauss - Bonnet brane cosmology

We consider 5-dimensional spacetimes of constant 3-dimensional spatial curvature in the presence of a bulk cosmological constant. We find the general solution of such a configuration in the presence of a Gauss-Bonnet term. Two classes of non-trivial bulk solutions are found. The first class is valid only under a fine tuning relation between the Gauss-Bonnet coupling constant and the cosmologica...

Visualization of Gauss-Bonnet Theorem

The sum of external angles of a polygon is always constant, π 2 . There are several elementary proofs of this fact. In the similar way, there is an invariant in polyhedron that is π 4 . To see this, let us consider a regular tetrahedron as an example. Tetrahedron has four vertices. Three regular triangles gather at each vertex. Developing the tetrahedron around each vertex, there is an open ang...