ar X iv : h ep - t h / 02 03 03 5 v 1 5 M ar 2 00 2 Non - factorisable metrics and Gauss – Bonnet terms in higher dimensions
نویسندگان
چکیده
An iterative construction of higher order Einstein tensors for a maximally GaussBonnet extended gravitational Lagrangian was introduced in a previous paper. Here the formalism is extended to non-factorisable metrics in arbitrary (d + 1) dimensions in the presence of superposed Gauss-Bonnet terms. Such a generalisation turns out to be remarkably convenient and elegant. Having thus obtained the variational equations we first construct bulk solutions, with nonzero and zero cosmological constant. It is also e-mail address: [email protected] e-mail address: [email protected] e-mail address: [email protected] e-mail address: [email protected] 1 pointed out that in the absence of Gauss-Bonnet terms a Schwarzschild type solution can be obtained in the non-factorisable case. Two positive tension branes are then inserted and their tensions are obtained in terms of parameters in the warp factor. Relations to recent studies of several authors are pointed out.
منابع مشابه
ar X iv : h ep - t h / 06 03 01 4 v 2 3 1 M ay
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 ...
متن کاملar X iv : h ep - t h / 93 09 03 5 v 1 7 S ep 1 99 3 Graphical Representation of Invariants and Covariants in General Relativity
We present a grapical way to describe invariants and covariants in the (4 dim) general relativity. This makes us free from the complexity of suffixes . Two new off-shell relations between (mass)∗∗6 invariants are obtained. These are important for 2-loop off-shell calculation in the perturbative quantum gravity. We list up all independent invarians with dimensions of (mass)∗ ∗ 4 and (mass)∗∗6. F...
متن کاملar X iv : h ep - t h / 03 10 14 5 v 1 1 5 O ct 2 00 3 Noncommutative geometry and the standard model
متن کامل
ar X iv : h ep - t h / 03 11 02 0 v 1 4 N ov 2 00 3 USTC - ICTS - 03 - 5 Gauss - Bonnet Black Holes in dS Spaces
We study the thermodynamic properties associated with black hole horizon and cosmological horizon for the Gauss-Bonnet solution in de Sitter space. When the Gauss-Bonnet coefficient is positive, a locally stable small black hole appears in the case of spacetime dimension d = 5, the stable small black hole disappears and the Gauss-Bonnet black hole is always unstable quantum mechanically when d ...
متن کاملar X iv : h ep - p h / 03 12 11 3 v 3 25 J an 2 00 4 Inflationary attractor in Gauss - Bonnet brane cosmology
The inflationary attractor properties of the canonical scalar field and Born-Infeld field are investigated in the Randall-Sundrum II scenario with a Gauss-Bonnet term in the bulk action. We find that the inflationary attractor property will always hold for both the canonical and Born-Infeld fields for any allowed non-negative Gauss-Bonnet coupling. We also briefly discuss the possibility of exp...
متن کامل