Hannover 2003 – wissenschaftliches Programm

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GR: Gravitation und Relativitätstheorie

GR 2: Schwarze Löcher

GR 2.2: Fachvortrag

Montag, 24. März 2003, 17:50–18:10, A310

3D Einstein-Cartan-Chern-Simons theory: BTZ-like solution with torsion — •Christian Heinicke — Institut für Theoretische Physik, Universität zu Köln, 50923 Köln

Although three-dimensional (3D) Einstein gravity is sometimes considered to be quite trivial, it proved to be a valuable testbed for quantum gravity.

We consider the 3D Einstein-Cartan-Chern-Simons theory proposed by Mielke et al. [1]. Its Lagrangian consists of a Einstein-Cartan piece, a cosmological term, and Chern-Simons terms for curvature and torsion. We present the general vacuum solution and show that the BTZ (Bañados, Teitelboim, and Zanelli) black-hole [2] can be recovered as a special case of it. Eventually, we discuss some characteristic properties of our solution [3].

[1] P. Baekler, E. W. Mielke, F. W. Hehl: Dynamical symmetries in topological 3D gravity with torsion. Nuovo Cimento 107 (1992) 91

[2] M. Bañados, C. Teitelboim, J. Zanelli: Black hole in three-dimensional spacetime. Phys. Rev. Lett. 69 (1992) 1849

[3] A. García, F. W. Hehl, C. Heinicke, A. Macías: Exact vacuum solution of (1+2)-dimensional Poincaré gauge theory: BTZ solution with torsion. to be published.