Einstein branes

Abstract

We generalise the standard, flat p-brane solutions sourced by a dilaton and a form field, by taking the worldvolume to be a curved Einstein space, such as (anti-)de Sitter space. Our method is based on reducing the p-branes to domain walls and then allowing these domain walls to be curved. For de Sitter worldvolumes this extends some recently constructed warped de Sitter non-compactifications. We restrict our analysis to solutions that possess scaling behavior and demonstrate that these scaling solutions are near-horizon limits of a more general solution. Finally, our framework can equally be used for spacelike branes and the uplift of the domain wall/cosmology correspondence becomes in this context a more general timelike/spacelike brane correspondence.

Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction

“…It is interesting to note that a similar action was recently discussed in[55], in the context of p-branes with curved worldvolumes. However, the scalar potentials in this case are different, and one cannot interpret the action given here in terms of branes with curved worldvolumes.…”

The FGK formalism for black p-branes in d dimensions

“…[12] are clearly possible using this formalism 1 . This paper is organized as follows: in Section 1 we describe the general actions we are going to deal with and, using the ansatz that emerges from Appendix B, we perform the dimensional reduction to find the generalization of the FGK effective action (obtained in an alternative fashion in Appendix A) and of the general results concerning extremal branes (Section 1.2).…”

“…The electric and magnetic field (p + 2)-form strengths can be arranged into a vector 12) so the Bianchi identities and Maxwell equations can be written in the compact form 13) which is covariant under linear transformations…”

Fake supersymmetry versus Hamilton-Jacobi

“…Small black holes are similar in that respect since, at the horizon, the solution is a scaling solution and it is characterised by the same increase in bosonic symmetries, the only difference is that the symmetries rescale the metric up to a constant. For a recent discussion on the connection between scaling solutions and black brane horizons we refer to [26] and for its applications to holography, see [27]. 4…”