332 citations · 1.1k across the 11 of their papers we have counts for
11 papers
Black Holes and Wormholes in 2+1 Dimensions
Dieter Brill
Vacuum Einstein theory in three spacetime dimensions is locally trivial, but admits many solutions that are globally different, particularly if there is a negative cosmological con…
Black Holes and Wormholes in 2+1 Dimensions
Stefan Aminneborg, Ingemar Bengtsson, Dieter Brill +2
A large variety of spacetimes---including the BTZ black holes---can be obtained by identifying points in 2+1 dimensional anti-de Sitter space by means of a discrete group of isomet…
Black Holes and Causal Structure in Anti-de Sitter Isometric Spacetimes
Soren Holst, Peter Peldan
The observation that the 2+1 dimensional BTZ black hole can be obtained as a quotient space of anti-de Sitter space leads one to ask what causal behaviour other such quotient space…
Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
Dieter R. Brill, Jorma Louko, Peter Peldan
We examine counterparts of the Reissner-Nordstrom-anti-de Sitter black hole spacetimes in which the two-sphere has been replaced by a surface Sigma of constant negative or zero cur…
Making Anti-de Sitter Black Holes
Stefan Aminneborg, Ingemar Bengtsson, Soren Holst +1
It is known from the work of Banados et al. that a space-time with event horizons (much like the Schwarzschild black hole) can be obtained from 2+1 dimensional anti-de Sitter space…
A Modular Invariant Quantum Theory From the Connection Formulation of (2+1)-Gravity on the Torus
Peter Peldan
By choosing an unconventional polarization of the connection phase space in (2+1)-gravity on the torus, a modular invariant quantum theory is constructed. Unitary equivalence to th…
Real Formulations of Complex Gravity and a Complex Formulation of Real Gravity
Peter Peldan
Two gauge and diffeomorphism invariant theories on the Yang-Mills phase space are studied. They are based on the Lie-algebras and -- the loop-algebra…
Gravity and Yang-Mills Theory: Two Faces of the Same Theory?
Subenoy Chakraborty, Peter Peldan
We introduce a gauge and diffeomorphism invariant theory on the Yang-Mills phase space. The theory is well defined for an arbitrary gauge group with an invariant bilinear form, it…
Actions for Gravity, with Generalizations: A Review
Peter Peldan
Related to the classical Ashtekar Hamiltonian, there have been discoveries regarding new classical actions for gravity in (2+1)- and (3+1)-dimensions, and also generalizations of E…
Unification of Gravity and Yang-Mills Theory in (2+1)-Dimensions
Peter Peldan
A gauge and diffeomorphism invariant theory in (2+1)-dimensions is presented in both first and second order Lagrangian form as well as in a Hamiltonian form. For gauge group $SO(1,…
Ashtekar's Variables for Arbitrary Gauge Group
Peter Peldan
A generally covariant gauge theory for an arbitrary gauge group with dimension , that reduces to Ashtekar's canonical formulation of gravity for SO(3,C), is presented. The…