648 citations
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7 papers · 2 filters
General Kundt spacetimes in higher dimensions
Jiri Podolsky, Martin Zofka
We investigate a general metric of the Kundt class of spacetimes in higher dimensions. Geometrically, it admits a non-twisting, non-shearing and non-expanding geodesic null congrue…
Parallel-propagated frame along null geodesics in higher-dimensional black hole spacetimes
David Kubiznak, Valeri P. Frolov, Pavel Krtous +1
In [arXiv:0803.3259] the equations describing the parallel transport of orthonormal frames along timelike (spacelike) geodesics in a spacetime admitting a non-degenerate principal…
Inertial frame rotation induced by rotating gravitational waves
Donald Lynden-Bell, Jiri Bicak, Joseph Katz
We calculate the rotation of the inertial frames within an almost flat cylindrical region surrounded by a pulse of non-axially-symmetric gravitational waves that rotate about the a…
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…
Photon rockets in (anti-)de Sitter universe
Jiri Podolsky
A class of exact solutions of Einstein's equations is presented which describes accelerating photon rockets in de Sitter and anti-de Sitter universe. These are particular members o…
Cosmological perturbation theory, instantaneous gauges and local inertial frames
Jiri Bicak, Joseph Katz, Donald Lynden-Bell
Linear perturbations of Friedmann-Robertson-Walker universes with any curvature and cosmological constant are studied in a general gauge without decomposition into harmonics. Desir…