## Gravitation, Following the Prague Inspiration: A Volume in Celebration of the 60th Birthday of Jiří BičákThis volume is dedicated to Jirí Bičák on the occasion of his 60th birthday. The authors are his former students who currently work in the fields of general relativity, astrophysics, theoretical physics and cosmology. Unlike in traditional Festschrifts with many short contributions, they present several comprehensive surveys and elaborate original works. The subjects range from the motion of stars in galactic nuclei to quantum mechanics on a boundary, and include current topics such as cosmological perturbations, effects of a repulsive cosmological constant, discs around black holes and gravitational waves. An unconventional introductory essay revives Prague's inspirations as personified by Tycho Brahe, Johannes Kepler, Christian Doppler, Ernst Mach, Albert Einstein and others. |

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### Contents

Slowly rotating voids in cosmology and Machs principle | 1 |

The role of a repulsive cosmological constant | 27 |

Stellar dynamics in a galactic centre | 85 |

Towards gravitating discs around stationary black holes | 111 |

Optical geometry inertial forces and embedding diagrams | 161 |

Appearance of approximated models of rotating neutron | 193 |

Exact impulsive gravitational waves in spacetimes | 205 |

On the spinning Cmetric | 247 |

Twisting Minkowski plane into a cone | 263 |

The semiclassical Einstein equations | 281 |

Boundary quantum mechanics | 289 |

### Common terms and phrases

Abramowicz acceleration accretion disks angular momentum angular velocity anti-de Sitter Astron Astrophys astrophysical axially axis Bicak boundary phase space boundary quantum mechanics circular orbits Class cluster condition configuration conical surface coordinates corresponding cosmic cosmological constant curvature cusp Czech defined density determined disc dynamical Einstein equations embedding diagrams energy equatorial plane equilibrium equipotential surfaces function galactic geodesies given gravitational waves horizon hypersurface impulsive waves inertial frames infinity inner Kerr metric Kerr-Newman light cone limit line element linear Mach's Mach's principle manifold marginally stable mass metric Minkowski motion naked singularities neutron star nonexpanding null observables obtained optical geometry outer parameter Penrose phase space photon Phys physical Podolsky potential quantization Quantum Grav quantum mechanics radial radiative radii region relation relativistic satellites SC-metric Schwarzschild Schwarzschild-de Sitter spacetimes shell solutions spherical static radius structure Stuchlik symmetric tensor test particles vacuum vector field yeneral relativity