45 citations · 51 across the 5 of their papers we have counts for
5 papers
Geodesic structure of the cosmological Levi-Civita spacetimes
Adam Tyc, Martin Zofka
We investigate the implications of the behavior of geodesics in static, cylindrically symmetric spacetimes with a non-zero cosmological constant. We consider the symmetries of thes…
Cosmologies with a magnetic field, dust, and Lambda
Martin Zofka, Kjell Rosquist
We investigate exact solutions of the Einstein-Maxwell equations with the cosmological constant where the source of the gravitational field consists of a magnetic field and dust. I…
Bonnor-Melvin universe with a cosmological constant
Martin Zofka
We generalize the well-known Bonnor-Melvin solution of the Einstein-Maxwell equations to the case of a non-vanishing cosmological constant. The spacetime is again cylindrically sym…
Relativistic Solenoids
Martin Zofka, Jiri Langer
We construct a general relativistic analogy of an infinite solenoid, i.e., of an infinite cylinder with zero electric charge and non-zero electric current in the direction tangenti…
Comments on photonic shells
M. Zofka
We investigate in detail the special case of an infinitely thin static cylindrical shell composed of counter-rotating photons on circular geodetical paths separating two distinct p…