Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-03-03
Phys.Rev.D83:104033,2011
Physics
High Energy Physics
High Energy Physics - Theory
This paper is dedicated to the memory of Laurent Houart
Scientific paper
10.1103/PhysRevD.83.104033
The aim of this paper is to explore D-dimensional theories of pure gravity whose space of solutions contains certain class of AdS-waves, including in particular Schrodinger invariant spacetimes. This amounts to consider higher order theories, and the natural case to start with is to analyze generic square-curvature corrections to Einstein-Hilbert action. In this case, the Schrodinger invariant sector in the space of solutions arises for a special relation between the coupling constants appearing in the action. On the other hand, besides the Schrodinger invariant configurations, logarithmic branches similar to those of the so-called Log-gravity are also shown to emerge for another special choice of the coupling constants. These Log solutions can be interpreted as the superposition of the massless mode of General Relativity and two scalar modes that saturate the Breitenlohner-Freedman bound (BF) of the AdS space on which they propagate. These solutions are higher-dimensional analogues of those appearing in three-dimensional massive gravities with relaxed AdS_3 asymptotic. Other sectors of the space of solutions of higher-curvature theories correspond to oscillatory configurations, which happen to be below the BF bound. Also, there is a fully degenerated sector, for which any wave profile is admitted. We comment on the relation between this degeneracy and the non-renormalization of the dynamical exponent of the Schrodinger spaces. Our analysis also includes more general gravitational actions with non-polynomial corrections consisting of arbitrary functions of the square-curvature invariants. The same sectors of solutions are shown to exist for this more general family of theories. We finally consider the Chern-Simons modified gravity in four dimensions, for which we derive both the Schrodinger invariant as well as the logarithmic sectors.
Ayón-Beato Eloy
Giribet Gastón
Hassaïne Mokhtar
No associations
LandOfFree
Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-589921