Self-force via energy–momentum and angular momentum balance equations

Dynamical horizons: energy, angular momentum, fluxes, and balance laws.

Dynamical horizons are considered in full, nonlinear general relativity. Expressions of fluxes of energy and angular momentum carried by gravitational waves across these horizons are obtained. Fluxes are local, the energy flux is positive, and change in the horizon area is related to these fluxes. The flux formulas also give rise to balance laws analogous to the ones obtained by Bondi and Sachs...

Equations of Motion of Systems with Internal Angular Momentum

The angular momentum of a many-particle system with respect to its centre of mass is known as the ”internal angular momentum” and is a property of the system that is independent of the observer. Internal angular momentum is therefore and attribute that characterizes a system in the same way as its mass or charge. In the case of a rigid body and particularly in the case of an elementary particle...

Angular Momentum

Self-gravity and Angular Momentum Transport in Extended Galactic Disks

We demonstrate a significant difference in the angular momentum transport properties of galactic disks between regions in which the interstellar medium is single phase or two phase. Our study is motivated by observations of H I in extended galactic disks which indicate velocity dispersions of nonthermal origin, suggesting that turbulence in the gas may be contributing significantly to the obser...

Rotations and Angular Momentum

2 Exercise. Prove it. ◦ In fact, as sophisticates can show you, on a complex space a linear operator which preserves all norms will also preserve all inner products. But the key thing is to remember is that a unitary operator preserves all inner products (and therefore all norms). • This is analogous to the fact that translations and rotations in ordinary three-dimensional space preserve distan...