The space–time line element for static ellipsoidal objects

Ellipsoidal Sets for Static Output Feedback

The static output feedback synthesis for LTI systems is considered. It is shown to have analogies with robust analysis, in particular the existence of an output feedback gain is equivalent to the existence of some quadratic separator. These considerations lead to formulate the problem as the synthesis of an ellipsoidal set of stabilising controllers. Based on this formulation important issues a...

Object Lifetimes Static Objects Static Objects Stack-allocated Objects

Static quantum corrections to the Schwarzschild spacetime

We study static quantum corrections of the Schwarzschild metric in the Boulware vacuum state. Due to the absence of a complete analytic expression for the full semiclassical Einstein equations we approach the problem by considering the s-wave approximation and solve numerically the associated backreaction equations. The solution, including quantum effects due to pure vacuum polarization, is sim...

An ellipsoidal trajectory model for measuring the line of sight

The relationship between the amount of rotation of the eyeball and the amount of rotation of the line of sight was investigated. The planar model and ellipsoidal model were compared as the trajectory of the center of the pupil. An evaluation of precision was carried out by measuring the discrepancy between the direction of the target and the estimated direction of the line of sight. The experim...

Spacetime geometry of static fluid spheres

We exhibit a simple and explicit formula for the metric of an arbitrary static spherically symmetric perfect fluid spacetime. This class of metrics depends on one freely specifiable monotone non-increasing generating function. We also investigate various regularity conditions, and the constraints they impose. Because we never make any assumptions as to the nature (or even the existence) of an e...