Asymptotically anti-de Sitter spacetimes in topologically massive gravity

Journal Article · Wed Apr 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.081502· OSTI ID:21308241

Henneaux, Marc ^[1]; Martinez, Cristian; Troncoso, Ricardo ^[1]

---

1. Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia (Chile)

We consider asymptotically anti-de Sitter spacetimes in three-dimensional topologically massive gravity with a negative cosmological constant, for all values of the mass parameter {mu} ({mu}{ne}0). We provide consistent boundary conditions that accommodate the recent solutions considered in the literature, which may have a slower falloff than the one relevant for general relativity. These conditions are such that the asymptotic symmetry is in all cases the conformal group, in the sense that they are invariant under asymptotic conformal transformations and that the corresponding Virasoro generators are finite. It is found that, at the chiral point |{mu}l|=1 (where l is the anti-de Sitter radius), allowing for logarithmic terms (absent for general relativity) in the asymptotic behavior of the metric makes both sets of Virasoro generators nonzero even though one of the central charges vanishes.

• OSTI ID: 21308241
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
ASYMPTOTIC SOLUTIONS
BOUNDARY CONDITIONS
CHIRALITY
CONFORMAL GROUPS
COSMOLOGICAL CONSTANT
GENERAL RELATIVITY THEORY
GRAVITATION
MASS
METRICS
SPACE-TIME
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS