Pascal Del Giudice, Frédéric Vandenbos, Christian Boissy, Eric Cua, Bertrand Marion, Evelyne Bernard, Pierre Dellamonica and Evelyne Counillon Unité de Maladies Infectieuses et Dermatologie, Hôpital Bonnet, Avenue André Léotard, 83700 Fréjus, Service des Maladies Infectieuses et Tropicales, Hôpital l’Archet 1, CHU Nice, Services de Chirurgie, Hôpital Bonnet, Fréjus and Laboratoire de Pathologie...

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 ...

We propose to compute the action and global charges of the asymptotically antide Sitter solutions in Einstein-Gauss-Bonnet theory by adding boundary counterterms to the gravitational action. The general expression of the counterterms and the boundary stress tensor is presented for spacetimes of dimension d ≤ 9. We apply this tehnique for several different types of black objects. Apart from stat...

We calculate the shear viscosity of field theories with gravity duals of Gauss-Bonnet gravity with a non-trivial dilaton using AdS/CFT. We find that the dilaton filed has a non-trivial contribution to the ratio of shear viscosity over entropy density and after imposing causal constraint for the boundary field theory, the new lower bound 4/25π, obtained from pure Gauss-Bonnet gravity, may have a...

We show that the Gauss-Bonnet term is the only consistent curvature squared interaction in the Randall-Sundrum model and various static and inflationary solutions can be found. And from metric perturbations around the RS background with a single brane embedded, we also show that for a vanishing Gauss-Bonnet coefficient, the brane bending allows us to reproduce the 4D Einstein gravity at the lin...

We consider the effective action of M-theory compactified on a S/Z2 orbifold with R2 interaction in the Gauss-Bonnet combination. We derive equations of motion with source terms arising from the Gauss-Bonnet terms and find the M2-brane solution up to order κ2/3. It receives a correction which depends on the orbifold coordinate in the same form as the gauge 5-brane solution. ∗[email protected]...

We consider a single 3-brane sitting in between two different five dimensional spacetimes. On each side of the brane, the bulk is a solution to GaussBonnet gravity, although the bare cosmological constant, fundamental Planck scale, and Gauss-Bonnet coupling can differ. This asymmetry leads to weighted junction conditions across the brane and interesting brane cosmology. We focus on two special ...

We obtain the quasinormal modes for tensor perturbations of Gauss-Bonnet black holes in d = 5, 7, 8 dimension using third order WKB formalism. The black hole in d = 6 is not considered because of the fact that it is unstable to tensor mode perturbations. For the uncharged Gauss-Bonnet black hole the real part of the frequency increases as the GaussBonnet coupling (α) increases. The imaginary pa...

We herein describe a patient with symptomatic common carotid artery occlusion who underwent a reverse superficial temporal artery (STA)-middle cerebral artery (MCA) single bypass using a naturally formed "bonnet" STA. The surgical procedure was performed without difficulty, and no further neurological deterioration was observed after surgery. In practice, this case highlights that the reverse S...

In this paper I will provide a proof of the Gauss-Bonnet Theorem. I will start by briefly explaining regular surfaces and move on to the first and second fundamental forms. I will then discuss Gaussian curvature and geodesics. Finally, I will move on to the theorem itself, giving both a local and a global version of the Gauss-Bonnet theorem. For this paper, I will assume that the reader has a k...