247 citations · 988 across the 59 of their papers we have counts for
60 papers
A Huygens-Leibniz-Lange framework for classical mechanics
J. W. van Holten
I discuss the physical basis of classical mechanics, such as expressed commonly using the framework of Newton's Principia. Newton's formulation of the laws of motion is seen to hav…
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,…
The path to Special Relativity
Gideon Koekoek, Jan W. van Holten, Urs Wyder
Following an early observation of Ignatowsky, we present a derivation of the transformation rules between inertial systems making no other assumptions than the existence of the lat…
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…
Neutrinos, a window on new physics
J. W. van Holten
This paper reviews some aspects of the physics of neutrinos, in particular neutrino masses and the issue of Dirac versus Majorana neutrinos. The see-saw mechanism is described and…
Gauge-covariant extensions of Killing tensors and conservation laws
J. W. van Holten
In classical and quantum mechanical systems on manifolds with gauge-field fluxes, constants of motion are constructed from gauge-covariant extensions of Killing vectors and tensors…
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…
Conformal Killing Tensors and covariant Hamiltonian Dynamics
M. Cariglia, G. W. Gibbons, J. -W. van Holten +2
A covariant algorithm for deriving the conserved quantities for natural Hamiltonian systems is combined with the non-relativistic framework of Eisenhart, and of Duval, in which the…
Killing tensors and canonical geometry
M. Cariglia, G. W. Gibbons, J. -W. van Holten +3
The systematic derivation of constants of the motion, based on Killing tensors and the gauge covariant approach, is outlined. Quantum dots are shown to support second-, third- and…
Time-reparametrization invariance and Hamilton-Jacobi approach to the cosmological sigma-model
Jan-Willem van Holten, Richard Kerner
The construction of physical models with local time-reparametrization invariance is reviewed. Negative-energy contributions to the hamiltonian are shown to be crucial for the reali…
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…
Dynamical supersymmetry of spin particle-magnetic field interaction
J. -P. Ngome, P. A. Horváthy, J. W. van Holten
We study the super and dynamical symmetries of a fermion in a monopole background. The Hamiltonian also involves an additional spin-orbit coupling term, which is parameterized by t…
Nonlinear Bogolyubov-Valatin transformations: 2 modes
K. Scharnhorst, J. -W. van Holten
Extending our earlier study of nonlinear Bogolyubov-Valatin transformations (canonical transformations for fermions) for one fermionic mode, in the present paper we perform a thoro…
Nonrelativistic Chern-Simons Vortices on the Torus
Nikolas Akerblom, Gunther Cornelissen, Gerben Stavenga +1
A classification of all periodic self-dual static vortex solutions of the Jackiw-Pi model is given. Physically acceptable solutions of the Liouville equation are related to a class…