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most citedCurvature invariants in type N spacetimes

49 citations · 204 across the 10 of their papers we have counts for

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gr-qc2022★ 1 cited

Dragging of inertial frames by matter and waves

Jiří Bičák, Tomáš Ledvinka

In this paper, we review and analyze four specific general-relativistic problems in which gravitomagnetism plays an important role: the dragging of magnetic fields around rotating…

gr-qc2019★ 2 cited

Disk sources of the Kerr and Tomimatsu-Sato spacetimes: construction and physical properties

Tomáš Ledvinka, Jiří Bičák

We construct the disk sources matched to the exact vacuum Kerr and to the two classes of Tomimatsu-Sato spacetimes. We analyze two models of the matter forming these disks. At each…

gr-qc2016★ 13 cited

Energy-momentum tensors in linearized Einstein's theory and massive gravity: The question of uniqueness

Jiří Bičák, Josef Schmidt

The question of the uniqueness of energy-momentum tensors in the linearized general relativity and in the linear massive gravity is analyzed without using variational techniques. W…

gr-qc2016★ 2 cited

Extremal Black Holes in Strong Magnetic Fields: Near-Horizon Geometries and Meissner Effect

Filip Hejda, Jiří Bičák

For extremal black holes, one can construct simpler, limiting spacetimes that describe the geometry near degenerate horizons. Since these spacetimes are known to have enhanced symm…

gr-qc2015★ 37 cited

Near-horizon description of extremal magnetised stationary black holes and Meissner effect

Jiří Bičák, Filip Hejda

After a brief summary of the basic properties of stationary spacetimes representing rotating, charged black holes in strong axisymmetric magnetic fields, we concentrate on extremal…

gr-qc2010★ 16 cited

On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources

Jiří Bičák, Martin Scholtz, Paul Tod

We extend the work in our earlier article [4] to show that time-periodic, asymptotically-flat solutions of the Einstein equations analytic at scri, whose source is one of a range o…

gr-qc2010★ 16 cited

On asymptotically flat solutions of Einstein's equations periodic in time I. Vacuum and electrovacuum solutions

Jiri Bicak, Martin Scholtz, Paul Tod

By an argument similar to that of Gibbons and Stewart, but in a different coordinate system and less restrictive gauge, we show that any weakly-asymptotically-simple, analytic vacu…

gr-qc2004★ 29 cited

Static fluid cylinders and their fields: global solutions

J. Bicak, T. Ledvinka, B. G. Schmidt +1

The global properties of static perfect-fluid cylinders and their external Levi-Civita fields are studied both analytically and numerically. The existence and uniqueness of global…

gr-qc1999★ 39 cited

Global structure of Robinson-Trautman radiative space-times with cosmological constant

J. Bicak, J. Podolsky

Robinson-Trautman radiative space-times of Petrov type II with a non-vanishing cosmological constant Lambda and mass parameter m>0 are studied using analytical methods. They are sh…

gr-qc1998★ 49 cited

Curvature invariants in type N spacetimes

J. Bicak, V. Pravda

Scalar curvature invariants are studied in type N solutions of vacuum Einstein's equations with in general non-vanishing cosmological constant Lambda. Zero-order invariants which i…