# Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields

@article{Henneaux2006AsymptoticBA, title={Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields}, author={Marc Henneaux and Cristi{\'a}n Mart{\'i}nez and Ricardo Troncoso and Jorge Zanelli}, journal={Annals of Physics}, year={2006}, volume={322}, pages={824-848} }

## 147 Citations

### Stability in Einstein-scalar gravity with a logarithmic branch

- Mathematics
- 2012

We investigate the non-perturbative stability of asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass saturating the Breitenlohner-Freedman bound. Such "designer…

### Ja n 20 07 Energy Bounds in Designer Gravity

- Physics
- 2007

We consider asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass at or slightly above the Breitenlohner-Freedman bound in d ≥ 4 spacetime dimensions. The boundary…

### Energy Bounds in Designer Gravity

- Mathematics
- 2006

We consider asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass at or slightly above the Breitenlohner-Freedman bound in d{>=}4 spacetime dimensions. The boundary…

### On conserved charges and thermodynamics of the AdS4 dyonic black hole

- Physics
- 2016

A bstractWe consider four-dimensional gravity in the presence of a dilatonic scalar field and an Abelian gauge field. This theory corresponds to the bosonic sector of a Kaluza-Klein reduction of…

### Scaling arguments and scalar hairs in asymptotically anti-de Sitter spacetime

- Physics, Mathematics
- 2008

Scaling arguments for minimally coupled scalar field models are generalized to discuss the existence and stability of static, spherically symmetric regular and black hole solutions in asymptotically…

### More on Asymptotically Anti-de Sitter Spaces in Topologically Massive Gravity

- Mathematics
- 2010

Recently, the asymptotic behavior of three-dimensional anti-de Sitter (AdS) gravity with a topological mass term was investigated. Boundary conditions were given that were asymptotically invariant…

### Conformal Anomaly and Counterterms in Designer Gravity

- Mathematics
- 2015

We construct concrete counterterms of the Balasubramanian-Kraus type for Einstein-scalar theories with designer gravity boundary conditions in AdS$_{4}$, so that the total action is finite on-shell…

### Scalar solitons and the microscopic entropy of hairy black holes in three dimensions

- Mathematics
- 2011

General Relativity coupled to a self-interacting scalar field in three dimensions is shown to admit exact analytic soliton solutions, such that the metric and the scalar field are regular everywhere.…

### Stability in holographic theories with irrelevant deformations

- Mathematics
- 2013

We investigate the non-perturbative stability of asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass near the Breitenlohner-Freedman bound. Such scalars are…

### A note on conserved charges of asymptotically flat and anti-de Sitter spaces in arbitrary dimensions

- Mathematics
- 2008

The calculation of conserved charges of black holes is a rich problem, for which many methods are known. Until recently, there was some controversy on the proper definition of conserved charges in…

## References

SHOWING 1-10 OF 56 REFERENCES

### Asymptotically anti–de Sitter spacetimes and scalar fields with a logarithmic branch

- Mathematics
- 2004

We consider a self-interacting scalar field whose mass saturates the Breitenlohner-Freedman bound, minimally coupled to Einstein gravity with a negative cosmological constant in $Dg~3$ dimensions. It…

### Asymptotically anti-de Sitter spaces

- Physics
- 1985

Asymptotically anti-de Sitter spaces are defined by boundary conditions on the gravitational field which obey the following criteria: (i) they are O(3, 2) invariant; (ii) they make the O(3, 2)…

### Black holes and asymptotics of 2 + 1 gravity coupled to a scalar field

- Mathematics
- 2002

We consider $2+1$ gravity minimally coupled to a self-interacting scalar field. The case in which the fall-off of the fields at infinity is slower than that of a localized distribution of matter is…

### A finite action for three dimensional gravity with a minimally coupled scalar field

- Physics
- 2003

Three-dimensional gravity with a minimally coupled self-interacting scalar is considered. The fall-off of the fields at infinity is assumed to be slower than that of a localized distribution of…

### Stability in designer gravity

- Mathematics
- 2005

We study the stability of designer gravity theories, in which one considers gravity coupled to a tachyonic scalar with anti-de Sitter (AdS) boundary conditions defined by a smooth function W. We…

### Black holes with scalar hair and asymptotics in N = 8 supergravity

- Physics
- 2004

We consider = 8 gauged supergravity in D = 4 and D = 5. We show one can weaken the boundary conditions on the metric and on all scalars with m2 < − (D − 1)2/4 + 1 while preserving the asymptotic…

### Designer gravity and field theory effective potentials.

- PhysicsPhysical review letters
- 2005

It is shown that there is remarkable agreement between static supergravity solutions and extrema of a field theory potential for essentially any function V(alpha) there are boundary conditions in anti-de Sitter space so that gravitational solitons exist precisely at the extrems of V and have masses given by the value of V at these extremas.

### On the Existence of Conformally Coupled Scalar Field Hair for Black Holes in (Anti-)de Sitter Space

- Physics
- 2003

The Einstein-conformally coupled scalar field system is studied in the presence of a cosmological constant. We consider a massless or massive scalar field with no additional self-interaction, and…