112 citations · 1.2k across the 49 of their papers we have counts for
28 papers · 1 filter
The effective geometry of the uniformly rotating self-gravitating polytrope
Donato Bini, Christian Cherubini, Simonetta Filippi +1
The \lq\lq effective geometry" formalism is used to study the perturbations of a perfect barotropic Newtonian self-gravitating rotating and compressible fluid coupled with gravitat…
Physical frames along circular orbits in stationary axisymmetric spacetimes
Donato Bini, Christian Cherubini, Andrea Geralico +1
Three natural classes of orthonormal frames, namely Frenet-Serret, Fermi-Walker and parallel transported frames, exist along any timelike world line in spacetime. Their relationshi…
Massless field perturbations of the spinning C metric
Donato Bini, Christian Cherubini, Andrea Geralico
A single master equation is given describing spin test fields that are gauge- and tetrad-invariant perturbations of the {\it spinning C metric} spacetime representing a sou…
Inertial effects in accelerating spacetimes
Donato Bini, Christian Cherubini, Andrea Geralico +1
The motion of test particles along circular orbits in the vacuum metric is studied in the Frenet-Serret formalism. Special orbits and corresponding intrinsically defined geomet…
C metric: the equatorial plane and Fermi coordinates
Donato Bini, Christian Cherubini, Simonetta Filippi +1
We discuss geodesic motion in the vacuum C metric using Bondi-like spherical coordinates, with special attention to the role played by the "equatorial plane." We show that the spat…
Dixon's extended bodies and weak gravitational waves
Donato Bini, Christian Cherubini, Andrea Geralico +1
General relativity considers Dixon's theory as the standard theory to deal with the motion of extended bodies in a given gravitational background. We discuss here the features of t…
Extended bodies with quadrupole moment interacting with gravitational monopoles: reciprocity relations
Donato Bini, Christian Cherubini, Simonetta Filippi +1
An exact solution of Einstein's equations representing the static gravitational field of a quasi-spherical source endowed with both mass and mass quadrupole moment is considered. I…
Electrocardiogram of the Mixmaster Universe
Donato Bini, Christian Cherubini, Andrea Geralico +1
The Mixmaster dynamics is revisited in a new light as revealing a series of transitions in the complex scale invariant scalar invariant of the Weyl curvature tensor best represente…
Gravitational induction
Donato Bini, Christian Cherubini, Carmen Chicone +1
We study the linear post-Newtonian approximation to general relativity known as gravitoelectromagnetism (GEM); in particular, we examine the similarities and differences between GE…
The Lifshitz-Khalatnikov Kasner index parametrization and the Weyl Tensor
Donato Bini, Christian Cherubini, Robert T. Jantzen
The scale invariant Petrov classification of the Weyl tensor is linked to the scale invariant combination of the Kasner index constraints, and the Lifshitz-Khalatnikov Kasner index…
Massless spinning test particles in vacuum algebraically special spacetimes
Donato Bini, Christian Cherubini, Geralico Andrea +1
The motion of massless spinning test particles is investigated using the Newman-Penrose formalism within the Mathisson-Papapetrou model extended to massless particles by Mashhoon a…
Using FEMLAB for Gravitational problems: numerical simulations for all
Christian Cherubini, Simonetta Filippi
We discuss the possibility to solve Modern Numerical Relativity problems using finite element methods (FEM). Adopting a "user friendly" software for handling totally general system…
Excised acoustic black holes: the scattering problem in the time domain
C. Cherubini, F. Federici, S. Succi +1
The scattering process of a dynamic perturbation impinging on a draining-tub model of an acoustic black hole is numerically solved in the time domain. Analogies with real black hol…
Superradiance from BEC vortices: a numerical study
F. Federici, C. Cherubini, S. Succi +1
The scattering of sound wave perturbations from vortex excitations of Bose-Einstein condensates(BEC) is investigated by numerical integration of the associated Klein-Gordon equatio…
Spinning particles in the vacuum C metric
Donato Bini, Christian Cherubini, Andrea Geralico +1
The motion of a spinning test particle given by the Mathisson-Papapetrou equations is studied on an exterior vacuum C metric background spacetime describing the accelerated motion…
Inertial effects of an accelerating black hole
D. Bini, C. Cherubini, B. Mashhoon
We consider the static vacuum C metric that represents the gravitational field of a black hole of mass undergoing uniform translational acceleration such that $mA<1/(3\sqrt…
The Speciality Index as invariant indicator in the BKL Mixmaster Dynamics
Christian Cherubini, Donato Bini, Marco Bruni +1
The speciality index, which has been mainly used in Numerical Relativity for studying gravitational waves phenomena as an indicator of the special or non-special Petrov type charac…
Geometric transport along circular orbits in stationary axisymmetric spacetimes
Donato Bini, Christian Cherubini, Gianluca Cruciani +1
Parallel transport along circular orbits in orthogonally transitive stationary axisymmetric spacetimes is described explicitly relative to Lie transport in terms of the electric an…
Spin, Acceleration and Gravity
Donato Bini, Christian Cherubini, Bahram Mashhoon
The massless field perturbations of the accelerating Minkowski and Schwarzschild spacetimes are studied. The results are extended to the propagation of the Proca field in Rindler s…
Petrov classification of perturbed spacetimes: the Kasner example
Christian Cherubini, Donato Bini, Marco Bruni +1
In this paper we consider vacuum Kasner spacetimes, focusing on those that can be parametrized as linear perturbations of the special Petrov type D case. For these quasi-D Kasner m…
The Simon and Simon-Mars Tensors for Stationary Einstein-Maxwell Fields
Donato Bini, Christian Cherubini, Robert T. Jantzen +1
Modulo conventional scale factors, the Simon and Simon-Mars tensors are defined for stationary vacuum spacetimes so that their equality follows from the Bianchi identities of the s…
Vacuum C-metric and the Gravitational Stark Effect
Donato Bini, Christian Cherubini, Bahram Mashhoon
We study the vacuum C-metric and its physical interpretation in terms of the exterior spacetime of a uniformly accelerating spherically - symmetric gravitational source. Wave pheno…
Neutrino current in a gravitational plane wave collision background
Donato Bini, Christian Cherubini, Gianluca Cruciani +1
The behaviour of a massless Dirac field on a general spacetime background representing two colliding gravitational plane waves is discussed in the Newman-Penrose formalism. The geo…
Second Order Scalar Invariants of the Riemann Tensor: Applications to Black Hole Spacetimes
C. Cherubini, D. Bini, S. Capozziello +1
We discuss the Kretschmann, Chern-Pontryagin and Euler invariants among the second order scalar invariants of the Riemann tensor in any spacetime in the Newman-Penrose formalism an…