#### Filter Results:

- Full text PDF available (63)

#### Publication Year

1991

2015

- This year (0)
- Last 5 years (2)
- Last 10 years (21)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- S. Carlip
- 1999

On a manifold with boundary, the constraint algebra of general relativity may acquire a central extension, which can be computed using covariant phase space techniques. When the boundary is a (local) Killing horizon, a natural set of boundary conditions leads to a Virasoro subalgebra with a calculable central charge. Conformal field theory methods may then… (More)

- S. Carlip
- 1998

Restricted to a black hole horizon, the “gauge” algebra of surface deformations in general relativity contains a Virasoro subalgebra with a calculable central charge. The fields in any quantum theory of gravity must transform accordingly, i.e., they must admit a conformal field theory description. Applying Cardy’s formula for the asymptotic density of… (More)

- S. Carlip
- 1995

I review the classical and quantum properties of the (2+1)dimensional black hole of Bañados, Teitelboim, and Zanelli. This solution of the Einstein field equations in three spacetime dimensions shares many of the characteristics of the Kerr black hole: it has an event horizon, an inner horizon, and an ergosphere; it occurs as an endpoint of gravitational… (More)

- Steven Carlip
- Living reviews in relativity
- 2005

In three spacetime dimensions, general relativity drastically simplifies, becoming a "topological" theory with no propagating local degrees of freedom. Nevertheless, many of the difficult conceptual problems of quantizing gravity are still present. In this review, I summarize the rather large body of work that has gone towards quantizing (2 + 1)-dimensional… (More)

- Steven Carlip, Claudio Teitelboim
- 1994

We discuss the quantum mechanics and thermodynamics of the (2+1)dimensional black hole, using both minisuperspace methods and exact results from Chern-Simons theory. In particular, we evaluate the first quantum correction to the black hole entropy. We show that the dynamical variables of the black hole arise from the possibility of a deficit angle at the… (More)

- S. Carlip
- 1994

The presence of a horizon breaks the gauge invariance of (2+1)-dimensional general relativity, leading to the appearance of new physical states at the horizon. I show that the entropy of the (2+1)-dimensional black hole can be obtained as the logarithm of the number of these microscopic states. ∗email: carlip@dirac.ucdavis.edu

- S. Carlip
- 2008

Three-dimensional topologically massive AdS gravity has a complicated constraint algebra, making it difficult to count nonperturbative degrees of freedom. I show that a new choice of variables greatly simplifies this algebra, and confirm that the theory contains a single propagating mode for all values of the mass parameter and the cosmological constant. As… (More)

- S. Carlip
- 1991

For simple enough spatial topologies, at least four approaches to (2 + 1)-dimensional quantum gravity have been proposed: Wheeler-DeWitt quantization, canonical quantization in Arnowitt-Deser-Misner (ADM) variables on reduced phase space, Chern-Simons quantization, and quantization in terms of Ashtekar-Rovelli-Smolin loop variables. An important problem is… (More)

- S. Carlip
- 1996

In its formulation as a Chern-Simons theory, threedimensional general relativity induces a Wess-Zumino-Witten action on spatial boundaries. Treating the horizon of the three-dimensional Euclidean black hole as a boundary, I count the states of the resulting WZW model, and show that they yield the correct Bekenstein-Hawking entropy. The relevant states can… (More)

- S. Carlip
- 2001

The problem of reconciling general relativity and quantum theory has fascinated and bedeviled physicists for more than 70 years. Despite recent progress in string theory and loop quantum gravity, a complete solution remains out of reach. I review the status of the continuing effort to quantize gravity, emphasizing the underlying conceptual issues and the… (More)