14 citations · 29 across the 5 of their papers we have counts for
5 papers
Algebraic classification of 2+1 geometries
Matus Papajcik, Jiri Podolsky
We present a new effective method of algebraic classification of 2+1 geometries. Our approach simply classifies spacetimes using five real scalars, defined as specific projections…
Interpreting gravitational fields of Topologically Massive Gravity using geodesic deviation
Matus Papajcik, Jiri Podolsky
We study relative motion of nearby test particles in Topologically Massive Gravity (TMG) in three spacetime dimensions, using the equation of geodesic deviation. We show that, in a…
Algebraic classification of 2+1 geometries: a new approach
Matus Papajcik, Jiri Podolsky
We present a convenient method of algebraic classification of 2+1 spacetimes into the types I, II, D, III, N and O, without using any field equations. It is based on the 2+1 analog…
A novel classification method of 2+1 spacetimes based on the Cotton scalars
Jiri Podolsky, Matus Papajcik
A new effective approach to the algebraic classification of geometries in 2+1 gravity is presented. It uses five real Cotton scalars of distinct boost weights, which are 3D a…
All solutions of Einstein-Maxwell equations with a cosmological constant in 2+1 dimensions
Jiri Podolsky, Matus Papajcik
We present a general solution of the coupled Einstein-Maxwell field equations (without the source charges and currents) in three spacetime dimensions. We also admit any value of th…