Phys. Rev. D 67, 124016 (2003) [7 pages]Exact vacuum solution of a (1+2)-dimensional Poincaré gauge theory: BTZ solution with torsionReceived 24 February 2003; published 12 June 2003 In the framework of (1+2)-dimensional Poincaré gauge gravity, we start from the Lagrangian of the Mielke-Baekler model that depends on torsion and curvature and includes translational and Lorentzian Chern-Simons terms. We find a general stationary circularly symmetric vacuum solution of the field equations. We determine the properties of this solution, in particular its mass and its angular momentum. For vanishing torsion, we recover the BTZ solution. We also derive the general conformally flat vacuum solution with torsion. In this framework, we discuss Cartan’s (3-dimensional) spiral staircase and find that it is not only a special case of our new vacuum solution, but can alternatively be understood as a solution of the 3-dimensional Einstein-Cartan theory with matter of constant pressure and constant torque. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.124016
DOI:
10.1103/PhysRevD.67.124016
PACS:
04.20.Jb, 04.90.+e, 11.15.-q
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.