The Dynamical Behaviour of Test Particles in a Quasi-Spherical Spacetime and the Physical Meaning of Superenergy
arXiv:0810.2941 · doi:10.1007/s10773-009-0159-y
Abstract
We calculate the instantaneous proper radial acceleration of test particles (as measured by a locally defined Lorentzian observer) in a Weyl spacetime, close to the horizon. As expected from the Israel theorem, there appear some bifurcations with respect to the spherically symmetric case (Schwarzschild), which are explained in terms of the behaviour of the superenergy, bringing out the physical relevance of this quantity in the study of general relativistic systems.
14 pages, Latex. 4 figures. New references added. Typos corrected. To appear in Int. J. Theor. Phys
References in corpus (6)
- Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
- Why does gravitational radiation produce vorticity?
- Frame dragging and super-energy
- Geodesics in a quasispherical spacetime: A case of gravitational repulsion
- Relativistic Multipoles and the Advance of the Perihelia
- Energetics of the Einstein-Rosen spacetime
Cited by in corpus (7)
- Axially symmetric static sources of gravitational field
- Geodesics in the linearized multipole solution: Distinguishing black holes from naked singularities
- From geodesics of the multipole solutions to the perturbed Kepler problem
- Linearized multipole solutions and their representation
- Source integrals of multipole moments for static space-times
- Connecting the exterior gravitational field with the energy momentum tensor of axially symmetric compact objects
- Whom actually do multipole moments belong to?