183 citations · 667 across the 20 of their papers we have counts for
19 papers · 1 filter
Initial data for a deformed isolated horizon
Aleš Flandera, David Kofroň, Tomáš Ledvinka
Within the isolated horizon formalism, we investigate a static axisymmetric space-time of a black hole influenced by matter in its neighborhood. To illustrate the role of ingredien…
Critical phenomena in the collapse of gravitational waves
Thomas W. Baumgarte, Bernd Brügmann, Daniela Cors +6
Fine-tuning generic but smooth spherically-symmetric initial data for general relativity to the threshold of dynamical black hole formation creates arbitrarily large curvatures, me…
Universality of curvature invariants in critical vacuum gravitational collapse
Tomáš Ledvinka, Anton Khirnov
We report on a numerical study of gravitational waves undergoing gravitational collapse due to their self-interaction. We consider several families of asymptotically flat initial d…
Slicing conditions for axisymmetric gravitational collapse of Brill waves
Anton Khirnov, Tomas Ledvinka
In numerical relativity, spacetimes involving compact strongly gravitating objects are constructed as numerical solutions of Einstein's equations. Success of such a process strongl…
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…
Rotation of inertial frames by angular momentum of matter and waves
William Barker, Tomáš Ledvinka, Donald Lynden-Bell +1
We elucidate the dynamics of a thin spherical material shell with a tangential pressure, using a new approach. This is both simpler than the traditional method of extrinsic curvatu…
Comparing Hamiltonians of a spinning test particle for different tetrad fields
Daniela Kunst, Tomáš Ledvinka, Georgios Lukes-Gerakopoulos +1
This work is concerned with suitable choices of tetrad fields and coordinate systems for the Hamiltonian formalism of a spinning particle derived in [E. Barausse, E. Racine, and A.…
Analytic conformal compactification of Schwarzschild spacetime
Jakub Haláček, Tomáš Ledvinka
Among the coordinates used to construct a conformal compactification of the Schwarzschild spacetime, none of them simultaneously extend smoothly both through an event horizon and b…
Effects of rotating gravitational waves
J. Bicak, J. Katz, T. Ledvinka +1
We study gravitational waves to first and second order in amplitude in vacuum asymptotically flat spacetimes. The Einstein equations are solved to first order and these solutions a…
Post-Minkowskian closed-form Hamiltonian for gravitating N-body systems
Tomas Ledvinka, Gerhard Schaefer, Jiri Bicak
The Hamiltonian for a system of relativistic bodies interacting by their gravitational field is found in the post-Minkowskian approximation, including all terms linear in the gravi…
Relativistic Closed-Form Hamiltonian for Many-Body Gravitating Systems in the Post-Minkowskian Approximation
Tomas Ledvinka, Gerhard Schaefer, Jiri Bicak
The Hamiltonian for a system of relativistic bodies interacting by their gravitational field is found in the post-Minkowskian approximation, including all terms linear in the gravi…
Constraint-preserving boundary conditions in the Z4 Numerical Relativity formalism
C. Bona, T. Ledvinka, C. Palenzuela-Luque +1
The constraint-preserving approach, which aim is to provide consistent boundary conditions for Numerical Relativity simulations, is discussed in parallel with other recent developm…
Gauge pathologies in singularity-avoidant spacetime foliations
C. Bona, T. Ledvinka, C. Palenzuela-Luque +2
The family of generalized-harmonic gauge conditions, which is currently used in Numerical Relativity for its singularity-avoidant behavior, is analyzed by looking for pathologies o…
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…
A symmetry-breaking mechanism for the Z4 general-covariant evolution system
C. Bona, T. Ledvinka, C. Palenzuela +1
The general-covariant Z4 formalism is further analyzed. The gauge conditions are generalized with a view to Numerical Relativity applications and the conditions for obtaining stron…
General-covariant evolution formalism for Numerical Relativity
C. Bona, T. Ledvinka, C. Palenzuela +1
A general covariant extension of Einstein\'{}s field equations is considered with a view to Numerical Relativity applications. The basic variables are taken to be the metric tensor…
A 3+1 covariant suite of Numerical Relativity Evolution Systems
C. Bona, T. Ledvinka, C. Palenzuela
A suite of three evolution systems is presented in the framework of the 3+1 formalism. The first one is of second order in space derivatives and has the same causal structure of th…
Electromagnetic fields around black holes and Meissner effect
Jiri Bicak, Tomas Ledvinka
The work on black holes immersed in external stationary magnetic fields is reviewed in both test-field approximation and within exact solutions. In particular we pay attention to t…
Relativistic Disks as Sources of Kerr-Newman Fields
T. Ledvinka, M. Zofka, J. Bicak
If an appropriate region of Kerr-Newman space-time is removed and suitable identifications are made, the resulting space-time can be interpreted as an infinitely thin disk producin…