3 papers
gr-qc2025
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…
gr-qc2025
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…
gr-qc2024
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…