247 citations · 988 across the 59 of their papers we have counts for
21 papers · 1 filter
Polar magnetic fields in black-hole space-times
Richard Kerner, Gideon Koekoek, Julia Schuring +1
To model magnetic fields of compact objects we solve the Maxwell equations in the background of the exterior static Schwarzschild and slowly rotating Kerr space-times. We impose th…
Dynamics of cosmological scalar fields
J. W. van Holten
This paper reviews the dynamics of an isotropic and homogeneous cosmological scalar field. A general approach to the solution of the Einstein-Klein-Gordon equations is developed, w…
Curvature dynamics in General Relativity
Jan W. van Holten
The equations of General Relativity are recast in the form of a wave equation for the Weyl tensor. This allows to reformulate gravitational wave theory in terms of curvature waves,…
D = 1 supergravity and quantum cosmology
J. W. van Holten
Using a D = 1 supergravity framework I construct a super-Friedmann equation for an isotropic and homogenous universe including dynamical scalar fields. In the context of quantum th…
Field theoretical approach to gravitational waves
Marco de Cesare, R. Oliveri, J. W. van Holten
The aim of these notes is to give an accessible and self-contained introduction to the theory of gravitational waves as the theory of a relativistic symmetric tensor field in a Min…
World-line perturbation theory
Jan-Willem van Holten
The motion of a compact body in space and time is commonly described by the world line of a point representing the instantaneous position of the body. In General Relativity such a…
Dynamical Space-Time and Gravitational Waves
J. W. van Holten
According to General Relativity gravity is the result of the interaction between matter and space-time geometry. In this interaction space-time geometry itself is dynamical: it can…
Spinning bodies in curved space-time
G. d'Ambrosi, S. Satish Kumar, J. van de Vis +1
We study the motion of neutral and charged spinning bodies in curved space-time in the test-particle limit. We construct equations of motion using a closed covariant Poisson-Dirac…
Spinning bodies in General Relativity
J. W. van Holten
A covariant hamiltonian formalism for the dynamics of compact spinning bodies in curved space-time in the test-particle limit is described. The construction allows a large class of…
Canonical D = 1 supergravity framework for FLRW cosmology
M. P. Bogers, J. W. van Holten
We construct an extension of standard flat FLRW cosmology with matter, possessing local D = 1, N = 1 proper-time supersymmetry. The fundamental equation for the resulting mini-supe…
Covariant hamiltonian spin dynamics in curved space-time
G. d'Ambrosi, S. Satish Kumar, J. W. van Holten
The dynamics of spinning particles in curved space-time is discussed, emphasizing the hamiltonian formulation. Different choices of hamiltonians allow for the description of differ…
Ballistic orbits in Schwarzschild space-time and gravitational waves from EMR binary mergers
G. d'Ambrosi, J. W. van Holten
We describe a special class of ballistic geodesics in Schwarzschild space-time, extending to the horizon in the infinite past and future of observer time, which are characterized b…
Single scalar cosmology
J. W. van Holten
The cosmology of flat FLRW universes dominated by a single scalar field is discussed. General features of the evolution of the universe and the scalar field are illustrated by spec…
Geodesic deviations: modeling extreme mass-ratio systems and their gravitational waves
G. Koekoek, J. W. van Holten
The method of geodesic deviations has been applied to derive accurate analytic approximations to geodesics in Schwarzschild space-time. The results are used to construct analytic e…
Generalized particle dynamics: modifying the motion of particles and branes
Sudipta Das, Subir Ghosh, Jan-Willem van Holten +1
We construct a generalized dynamics for particles moving in a symmetric space-time, i.e. a space-time admitting one or more Killing vectors. The generalization implies that the eff…
Relativistic Epicycles : another approach to geodesic deviations
R. Kerner, J. W. van Holten, R. Colistete
We solve the geodesic deviation equations for the orbital motions in the Schwarzschild metric which are close to a circular orbit. It turns out that in this particular case the equ…
Geodesic Deviation in Kaluza-Klein Theories
Richard Kerner, Jerome Martin, Salvatore Mignemi +1
We study in detail the equations of the geodesic deviation in multidimensional theories of Kaluza-Klein type. We show that their 4-dimensional space-time projections are identical…
Motions and world-line deviations in Einstein-Maxwell theory
A. Balakin, J. W. van Holten, R. Kerner
We examine the motion of charged particles in gravitational and electro-magnetic background fields. We study in particular the deviation of world lines, describing the relative acc…
Killing-Yano tensors, non-standard supersymmetries and an index theorem
J. W. van Holten
The existence of Killing-Yano tensors on space-times can be probed by spinning particles. Specifically, Dirac particles possess new fermionic constants of motion corresponding to n…
Gravitational Waves and Black Holes: an Introduction to General Relativity
J. W. van Holten
In these lectures general relativity is outlined as the classical field theory of gravity, emphasizing physical phenomena rather than mathematical formalism. Dynamical solutions re…
Extended Geometry of Black Holes
K. Peeters, C. Schweigert, J. W. van Holten
We reconsider space-time singularities in classical Einsteinian general relativity: with the help of several new co-ordinate systems we show that the Schwarzschild solution can be…