Affordable Access

Access to the full text

Generating Geodesic Flows and Supergravity Solutions

Authors
  • Bergshoeff, E.
  • Chemissany, W.
  • Ploegh, A.
  • Trigiante, M.
  • Van Riet, T.
Type
Published Article
Publication Date
Dec 14, 2016
Submission Date
Jun 13, 2008
Identifiers
DOI: 10.1016/j.nuclphysb.2008.10.023
Source
arXiv
License
Yellow
External links

Abstract

We consider the geodesic motion on the symmetric moduli spaces that arise after timelike and spacelike reductions of supergravity theories. The geodesics correspond to timelike respectively spacelike $p$-brane solutions when they are lifted over a $p$-dimensional flat space. In particular, we consider the problem of constructing \emph{the minimal generating solution}: A geodesic with the minimal number of free parameters such that all other geodesics are generated through isometries. We give an intrinsic characterization of this solution in a wide class of orbits for various supergravities in different dimensions. We apply our method to three cases: (i) Einstein vacuum solutions, (ii) extreme and non-extreme D=4 black holes in N=8 supergravity and their relation to N=2 STU black holes and (iii) Euclidean wormholes in $D\geq 3$. In case (iii) we present an easy and general criterium for the existence of regular wormholes for a given scalar coset.

Report this publication

Statistics

Seen <100 times