4 papers · 1 filter
Perturbations of a Schwarzschild black hole. Notes on Zerilli's approach
Gianluca Cruciani
Modelling the free fall (and radiative phenomenology) of a massive particle, charged or not, in a static and spherically symmetric black hole is a classic, good relativistic dare t…
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…
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…
Deriving the Regge-Wheeler and Zerilli equations in the general static spherically-symmetric case with Mathematica and MathTensor
Gianluca Cruciani
An efficient approach to tensor perturbation calculations by proper use of computer algebra methods is described, reaching the sufficient generality required for a comprehensive an…