Consistency of Higher Derivative Gravity in the Brane Background
نویسنده
چکیده
We consider the theory of higher derivative gravity with non-factorizable RandallSundrum type space-time and obtain the metric solutions which characterize the p-brane world-volume as a curved or planar defect embedded in the higher dimensions. We consider the string inspired effective actions of the dilatonic Gauss-Bonnet type in the brane background and show its consistency with the RS brane-world scenario and the conformal weights of the dilaton couplings in the string theory with the appropriate choice of Regge slope (α′) or Gauss-Bonnet coupling (α) or both. We also discuss a time dependent dilaton solution for a string-inspired fourth-derivative gravity. SNUTP-00-022 August 2000 Email: [email protected]
منابع مشابه
Spherically Symmetric Solutions in a New Braneworld Massive Gravity Theory
In this paper, a combination of the braneworld scenario and covariant de Rham-Gabadadze-Tolley (dRGT) massive Gravity theory is proposed. In this setup, the five-dimensional bulk graviton is considered to be massive. The five dimensional nonlinear ghost-free massive gravity theory affects the 3-brane dynamics and the gravitational potential on the brane. Following the solutions with spherical s...
متن کاملar X iv : h ep - p h / 05 02 04 8 v 1 4 Fe b 20 05 Higher - derivative gravity in brane world models
We investigate brane world models in higher-derivative gravity theories where the gravitational Lagrangian is an arbitrary function of the Ricci scalar. Making use of the conformal equivalence of such gravity models and Einstein-Hilbert gravity with a scalar field, we deduce the main features of higher-derivative gravity brane worlds. We solve for a gravity model that has corrections quadratic ...
متن کامل4D gravity on a brane from bulk higher-curvature terms
We study a gravity model where a tensionful codimension-one threebrane is embedded in a bulk with infinite transverse length. We find that 4D gravity is induced on the brane already at the classical level if we include higher-curvature (Gauss-Bonnet) terms in the bulk. Consistency conditions appear to require a negative brane tension as well as a negative coupling for the higher-curvature terms.
متن کاملBrane - Bulk Interaction in the Topological Theory
In this letter we addressed the problem of inducing boundary degrees of freedom from some bulk theory which action contains higher-derivative corrections. As a model example we considered topological theory whose action has only " higher-derivative " term. By choosing a specific coupling of the brane to the bulk we showed that the boundary action contains gravity action along with some higher-d...
متن کاملدستهای از جوابهای دقیق گرانش با مشتقات بالاتر در چهار بعد
In this paper we consider the action of higher derivative gravity up to the second order terms in the scalars made from the Ricci scalar, Ricci and Riemann tensors. We use the Bach- Lanczos identity of the Weyl tensor in four dimensions and show that the solutions of 4-dimensional Einstein equations with cosmological constant term in vacuum, which are known as Einstein metrics, satisfy the fie...
متن کامل