Cylindrical gravitational waves: C-energy, super-energy and associated dynamical effects
arXiv:1812.07938 · doi:10.1088/1361-6382/ab10ec
Abstract
The energy content of cylindrical gravitational wave spacetimes is analyzed by considering two local descriptions of energy associated with the gravitational field, namely those based on the C-energy and the Bel-Robinson super-energy tensor. A Poynting-Robertson-like effect on the motion of massive test particles, beyond the geodesic approximation, is discussed, allowing them to interact with the background field through an external force which accounts for the exchange of energy and momentum between particles and waves. In addition, the relative strains exerted on a bunch of particles displaced orthogonally to the direction of propagation of the wave are examined, providing invariant information on spacetime curvature effects caused by the passage of the wave. The explicit examples of monochromatic waves with either a single or two polarization states as well as pulses of gravitational radiation are discussed.
arXiv comment24 pages, 9 figures
References in corpus (21)
- Gravito-electromagnetism
- The Many Faces of Gravitoelectromagnetism
- Asymptotic Structure of Symmetry Reduced General Relativity
- Super-energy tensors
- A Striking Property of the Gravitational Hamiltonian
- Behavior of Einstein-Rosen Waves at Null Infinity
- Why does gravitational radiation produce vorticity?
- The gravitoelectromagnetic stress-energy tensor
- Conserved superenergy currents
- Gravitational Superenergy Tensor
- Unpolarized radiative cylindrical spacetimes: Trapped surfaces and quasilocal energy
- Trajectory of test particle around a slowly rotating relativistic star emitting isotropic radiation
- Strains in General Relativity
- Strains and axial outflows in the field of a rotating black hole
- Nonlinear evolution of cylindrical gravitational waves: numerical method and physical aspects
- Radiation drag in the field of a non-spherical source
- Energetics of the Einstein-Rosen spacetime
- On the algebraic types of the Bel-Robinson tensor
- Construction and application of variations on the cylindrical gravitational waves of Weber, Wheeler, and Bonnor
- Friction forces in cosmological models
- Particle scattering by a test fluid on a Schwarzschild spacetime: the equation of state matters