Canonical structure of topologically massive gravity with a cosmological constant

نویسنده

  • M. Blagojević
چکیده

We study the canonical structure of three-dimensional topologically massive gravity with a cosmological constant, using the full power of Dirac’s method for constrained Hamiltonian systems. It is found that the dimension of the physical phase space is two per spacetime point, which corresponds to a single Lagrangian degree of freedom. The analysis of the AdS asymptotic region reveals a remarkable relation to 3D gravity with torsion: in the limit of vanishing torsion, the conserved charges and asymptotic symmetries of the two theories become identical.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Canonical analysis of cosmological topologically massive gravity at the chiral point

Wolfgang Kummer was a pioneer of two-dimensional gravity and a strong advocate of the first order formulation in terms of Cartan variables. In the present work we apply Wolfgang Kummer's philosophy, the 'Vienna School approach', to a specific three-dimensional model of gravity, cos-mological topologically massive gravity at the chiral point. Exploiting a new Chern–Simons representation we perfo...

متن کامل

Particle-like solutions to topologically massive gravity

The solution of topologically massive gravity with cosmological constant is reduced, for space-times with two commuting Killing vectors, to a special-relativistic dynamical problem. This approach is applied to the construction of a class of exact sourceless, horizonless solutions asymptotic to the BTZ extreme black holes. ∗E-mail: [email protected].

متن کامل

Consistent boundary conditions for cosmological topologically massive gravity at the chiral point

We show that cosmological topologically massive gravity at the chiral point allows not only Brown–Henneaux boundary conditions as consistent boundary conditions, but slightly more general ones which encompass the logarithmic primary found in 0805.2610 as well as all its descendants. e-mail: [email protected] e-mail: [email protected] Cosmological topologically massive gravity [1] (...

متن کامل

Brown-Henneaux’s Canonical Approach to Topologically Massive Gravity

We analyze the symmetry realized asymptotically on the two dimensional boundary of AdS3 geometry in topologically massive gravity, which consists of the gravitational Chern-Simons term as well as the usual Einstein-Hilbert and negative cosmological constant terms. Our analysis is based on the conventional canonical method and proceeds along the line completely parallel to the original Brown and...

متن کامل

Chiral Topologically Massive Gravity and Extremal B-F Scalars

At a critical “chiral” coupling, topologically massive gravity with a negative cosmological constant exhibits several unusual features, including the emergence of a new logarithmic branch of solutions and a linearization instability for certain boundary conditions. I show that at this coupling, the linearized theory may be parametrized by a free scalar field at the Breitenlohner-Freedman bound,...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009