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Circular stationary cyclic symmetric spacetimes; conformal flatness
Alberto A. Garcia, Cuauhtemoc Campuzano
A subclassification of stationary spacetimes, endowed with one timelike and one spacelike Killing vectors, i.e., Petrov on spaces, is proposed. Special attention des…
The Cotton tensor in Riemannian spacetimes
A. Garcia, F. W. Hehl, C. Heinicke +1
Recently, the study of three-dimensional spaces is becoming of great interest. In these dimensions the Cotton tensor is prominent as the substitute for the Weyl tensor. It is confo…
Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
Alberto A. Garcia, Friedrich W. Hehl, Christian Heinicke +1
In (1+2)-dimensional Poincaré gauge gravity, we start from a Lagrangian depending on torsion and curvature which includes additionally {\em translational} and {\em Lorentzian} Cher…
All Static Circularly Symmetric Perfect Fluid Solutions of 2+1 Gravity
Alberto A. Garcia, Cuauhtemoc Campuzano
Via a straightforward integration of the Einstein equations with cosmological constant, all static circularly symmetric perfect fluid 2+1 solutions are derived. The structural func…
Anti-de Sitter-type 2+1 spacetime of a charged rotating mass
Nikolai V. Mitskievich, Alberto A. Garcia
The exact charged rotating solution of 2+1 Einstein-Maxwell equations with term is obtained and its properties outlined. It generalizes the Cataldo-Cruz-del Campo-Garc{\'ı}a re…