In this work we show that Einstein gravity in four dimensions can be consistently obtained from the compactification of a generic higher curvature Lovelock theory dimension $D=4+p$, being $p\geq1$. The is performed on direct product space $\mathcal{M}_D=\mathcal{M}_4\times\mathcal{K}^p$, where $\mathcal{K}^p$ Euclidean internal manifold constant curvature. process carried out such way no fine t...

We show that the Gauss-Bonnet correction to Einstein gravity induces a gravitational tachyon mode, namely an unstable spin 2 fluctuation, in the Randall-Sundrum I model. We demonstrate that this instability is generically related to the presence of a negative tension brane in the set-up, with or without Z2-symmetry across it. Indeed it is shown that the tachyon mode is a bound state localised o...

We introduce a graphical representation for a global SO(n) tensor ∂μ∂νhαβ , which generally appears in the perturbative approach of gravity around the flat space: gμν = δμν + hμν . We systematically construct global SO(n) invariants. Independence and completeness of those invariants are shown by taking examples of ∂∂h-, and (∂∂h)invariants. They are classified graphically. Indices which charact...

It is shown that the addition of a topological invariant (Gauss-Bonnet term) to the anti-de Sitter (AdS) gravity action in four dimensions recovers the standard regularization given by holographic renormalization procedure. This crucial step makes possible the inclusion of an odd parity invariant (Pontryagin term) whose coupling is fixed by demanding an asymptotic (anti)self-dual condition on t...

We calculate the shear viscosity of field theories with gravity duals using Kubo-formula by calculating the Green function of dual transverse gravitons and confirm that the value of the shear viscosity is fully determined by the effective coupling of transverse gravitons on the horizon. We calculate the effective coupling of transverse gravitons for Einstein and GaussBonnet gravities coupled wi...

We study the curvaton dynamics in brane-world cosmologies. Assuming that the inflaton field survives without decay after the end of inflation, we apply the curvaton reheating mechanism to Randall-Sundrum and to its curvature corrections: GaussBonnet, induced gravity and combined Gauss-Bonnet and induced gravity cosmological models. In the case of chaotic inflation and requiring suppression of p...

We define and compute the energy of higher curvature gravity theories in arbitrary dimensions. Generically, these theories admit constant curvature vacua (even in the absence of an explicit cosmological constant), and asymptotically constant curvature solutions with non-trivial energy properties. For concreteness, we study quadratic curvature models in detail. Among them, the one whose action i...

Earlier we constructed a model with exponential form potential and of Gauss–Bonnet interaction. This can be considered as an appropriate inflationary scenario. In this model, the attractor parameters correspond to ones from cosmological in leading order approximation inverse e-folding number. We study how many orders numbers are included spectral index scenario Einstein–Gauss–Bonnet gravity.

In the intersecting braneworld models, higher curvature corrections to the Einstein action are necessary to provide a non-trivial geometry (brane tension) at the brane junctions. By introducing such terms in a Gauss-Bonnet form, we give an effective description of localized gravity on the singular delta-function branes. There exists a non-vanishing brane tension at the four-dimensional brane in...